Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2

Time bar (total: 14.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze74.0ms (0.5%)

Memory
-2.2MiB live, 118.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%74.8%0.2%0%24.9%0%3
0%0%37.4%0.2%0%62.3%0%4
0%0%18.7%0.2%0%81.1%0%5
0%0%18.7%0.2%0%81.1%0%6
0%0%18.7%0.2%0%81.1%0%7
10%1.6%14%0.2%0%84.2%0%8
10%1.6%14%0.2%0%84.2%0%9
10%1.6%14%0.2%0%84.2%0%10
10%1.6%14%0.2%0%84.2%0%11
20%3.1%12.5%0.2%0%84.2%0%12
Compiler

Compiled 18 to 17 computations (5.6% saved)

sample2.1s (14.8%)

Memory
3.5MiB live, 2 230.6MiB allocated
Samples
1.2s8 256×0valid
238.0ms2 085×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-log: 511.0ms (50.1% of total)
ival-sub: 203.0ms (19.9% of total)
ival-add: 175.0ms (17.2% of total)
ival-mult: 113.0ms (11.1% of total)
ival-true: 8.0ms (0.8% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain382.0ms (2.7%)

Memory
8.6MiB live, 327.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-3(4.4509245251394665e+258 3.0805388166690776e-119 2.9852428277326885e-253 8.18673770693345e-91 6.368372732598011e-210)(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
10-1(-3.8847018217390045e-91 2.220894008428435e-35 6.834556775290436e-64 9.539265693088962e-194 -1.4014898341429906e-292)(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
00-0-(log.f64 t)
00-0-a
00-0-(log.f64 (+.f64 x y))
00-0-t
00-0-(log.f64 z)
00-0-(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
00-0-z
00-0-y
00-0-(+.f64 x y)
00-0-(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
00-0-#s(literal 1/2 binary64)
00-0-x
00-0-(-.f64 a #s(literal 1/2 binary64))
Confusion
Predicted +Predicted -
+02
-0254
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+011
-04250
Precision?
0.2
Recall?
0.5
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
116.0ms512×0valid
Compiler

Compiled 136 to 49 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-log: 66.0ms (80.3% of total)
ival-add: 7.0ms (8.5% of total)
ival-sub: 5.0ms (6.1% of total)
ival-mult: 3.0ms (3.6% of total)
ival-true: 1.0ms (1.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess180.0ms (1.3%)

Memory
-9.9MiB live, 183.3MiB allocated
Algorithm
egg-herbie
Rules
4 080×lower-fma.f64
4 080×lower-fma.f32
1 026×sub-neg
1 022×associate-+l-
1 004×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102335
1261331
2845325
33081324
46375324
57630324
01516
02416
13716
27816
319216
447816
5145216
6252116
7335416
8367316
9369516
10369516
11375516
12376916
13376916
0376915
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
Symmetry

(sort x y)

Compiler

Compiled 16 to 15 computations (6.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify130.0ms (0.9%)

Memory
2.8MiB live, 86.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (+.f64 x y))
cost-diff0
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
cost-diff0
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
cost-diff128
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Rules
4 080×lower-fma.f64
4 080×lower-fma.f32
1 026×sub-neg
1 004×lower-+.f32
1 000×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
02458
13758
27858
319258
447858
5145258
6252158
7335458
8367358
9369558
10369558
11375558
12376958
13376958
0376957
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(+.f64 x y)
x
y
(log.f64 z)
z
t
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(log.f64 (+.f64 x y))
(log.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(log.f64 z)
z
t
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)

localize39.0ms (0.3%)

Memory
27.2MiB live, 62.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 t)
accuracy0.125
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
accuracy0.1855997153874533
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
accuracy0.5699608595831682
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Samples
31.0ms256×0valid
Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 8.0ms (49.1% of total)
ival-add: 4.0ms (24.5% of total)
ival-sub: 2.0ms (12.3% of total)
ival-mult: 2.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series216.0ms (1.5%)

Memory
7.1MiB live, 349.6MiB allocated
Counts
6 → 204
Calls
Call 1
Inputs
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())
#s(alt (log.f64 t) (patch (log.f64 t) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (log t)) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) (taylor inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (log t)) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (log t) (* -1/2 (/ (log t) a)))) (taylor inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* a (log t)) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) (taylor -inf a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* a (log t)) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (patch (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) (taylor 0 x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log y) (log z)) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log y) (+ (log z) (/ x y))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) (taylor 0 x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (log z)) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (+ (log z) (/ x y))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (taylor 0 x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (/ x y)) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) (taylor inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (* -1 (log (/ 1 x)))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) (taylor inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) (taylor inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ y x)) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) (taylor inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) (taylor -inf x) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t) (taylor -inf x) (#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x y)) (patch (log.f64 (+.f64 x y)) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
57.0ms
z
@0
((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t))
53.0ms
t
@0
((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t))
23.0ms
z
@-inf
((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t))
22.0ms
z
@inf
((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t))
18.0ms
a
@0
((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t))

simplify197.0ms (1.4%)

Memory
2.0MiB live, 235.6MiB allocated
Algorithm
egg-herbie
Rules
16 372×lower-fma.f64
16 372×lower-fma.f32
5 060×lower-+.f64
5 060×lower-+.f32
4 310×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03823187
111013021
235062976
083122824
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(* -1/2 (log t))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (log t))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(* a (log t))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))
(+ (log z) (log (+ x y)))
(+ (log z) (+ (log (+ x y)) (* -1 t)))
(+ (log z) (+ (log (+ x y)) (* -1 t)))
(+ (log z) (+ (log (+ x y)) (* -1 t)))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(* (log t) (- a 1/2))
(log t)
(log t)
(log t)
(log t)
(* -1 t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(* -1 t)
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 (log (/ 1 t)))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(+ (log -1) (* -1 (log (/ -1 t))))
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (log (+ x y))) t)
(- (+ (log z) (log (+ x y))) t)
(- (+ (log z) (log (+ x y))) t)
(- (+ (log z) (log (+ x y))) t)
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(+ (log z) (log (+ x y)))
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(+ (log (+ x y)) (* -1 (log (/ 1 z))))
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))
(- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log x) (+ (log z) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log x) (log z)) t)
(- (+ (log x) (+ (log z) (/ y x))) t)
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t)
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t)
(+ (log x) (log z))
(+ (log x) (+ (log z) (/ y x)))
(+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))
(+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))
(log x)
(+ (log x) (/ y x))
(+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))
(+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* (log t) (- a 1/2)) (/ x y)))))) t)
(- (+ (log z) (* -1 (log (/ 1 y)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) t)
(+ (log z) (* -1 (log (/ 1 y))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))
(* -1 (log (/ 1 y)))
(+ (* -1 (log (/ 1 y))) (/ x y))
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t)
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y)))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t)
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t)
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t)
(- (+ (log y) (log z)) t)
(- (+ (log y) (+ (log z) (/ x y))) t)
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t)
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t)
(+ (log y) (log z))
(+ (log y) (+ (log z) (/ x y)))
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(log y)
(+ (log y) (/ x y))
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t)
(- (+ (log z) (* -1 (log (/ 1 x)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t)
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t)
(+ (log z) (* -1 (log (/ 1 x))))
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ y x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t)
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))
Outputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(* -1/2 (log t))
(*.f64 (log.f64 t) #s(literal -1/2 binary64))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(* a (log t))
(*.f64 a (log.f64 t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a)
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a)
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a)
(* a (log t))
(*.f64 a (log.f64 t))
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
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(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* a (+ (log t) (* -1/2 (/ (log t) a))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* a (log t))
(*.f64 a (log.f64 t))
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a)
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a)
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z))) a) (log.f64 t)) a)
(* a (log t))
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(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a)
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(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))
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(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
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(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 t (log.f64 z)))
(+ (log z) (log (+ x y)))
(+.f64 (log.f64 (+.f64 y x)) (log.f64 z))
(+ (log z) (+ (log (+ x y)) (* -1 t)))
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
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(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
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(* (log t) (- a 1/2))
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(* (log t) (- a 1/2))
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(log t)
(log.f64 t)
(log t)
(log.f64 t)
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(log.f64 t)
(log t)
(log.f64 t)
(* -1 t)
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(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t)
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))
(*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t)
(* -1 t)
(neg.f64 t)
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))
(fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(* -1 (* (log (/ 1 t)) (- a 1/2)))
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(* -1 (log (/ 1 t)))
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(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))
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(log y)
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(+ (log y) (/ x y))
(+.f64 (log.f64 y) (/.f64 x y))
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))
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(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t)
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(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)
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(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t)
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(- (+ (log z) (* -1 (log (/ 1 x)))) t)
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(-.f64 (+.f64 (+.f64 (/.f64 y x) (log.f64 x)) (log.f64 z)) t)
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(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t)
(-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y (log.f64 x))) (-.f64 t (log.f64 z)))
(+ (log z) (* -1 (log (/ 1 x))))
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(+.f64 (+.f64 (/.f64 y x) (log.f64 x)) (log.f64 z))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))
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(* -1 (log (/ 1 x)))
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(+.f64 (/.f64 y x) (log.f64 x))
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(-.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 t (log.f64 #s(literal -1 binary64))))
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rewrite201.0ms (1.4%)

Memory
-3.5MiB live, 339.1MiB allocated
Rules
5 670×lower-fma.f64
5 670×lower-fma.f32
4 278×lower-*.f32
4 276×lower-*.f64
3 538×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
02441
110241
283741
0828040
Stop Event
iter limit
node limit
iter limit
Counts
6 → 356
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(log.f64 t)
Outputs
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
(*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (+.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (log.f64 (*.f64 z (+.f64 y x))))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))))))
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(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
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(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (*.f64 (log.f64 t) a))
(fma.f64 (log.f64 t) a (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(fma.f64 a (log.f64 t) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (*.f64 a (log.f64 t)))
(+.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 (log.f64 t) a))
(+.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(log.f64 t)

eval72.0ms (0.5%)

Memory
8.3MiB live, 165.2MiB allocated
Compiler

Compiled 19 442 to 1 662 computations (91.5% saved)

prune191.0ms (1.3%)

Memory
-34.2MiB live, 280.2MiB allocated
Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New52436560
Fresh000
Picked101
Done000
Total52536561
Accuracy
99.9%
Counts
561 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.2%
(fma.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (pow.f64 (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))))
78.9%
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
92.6%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
78.9%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
73.8%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
93.0%
(fma.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 z) (log.f64 z) (*.f64 (log.f64 (+.f64 y x)) (log.f64 (/.f64 (+.f64 y x) z))))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
56.7%
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
56.9%
(fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
73.8%
(fma.f64 (log.f64 t) a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))
41.5%
(/.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 a #s(literal -1/2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 (-.f64 a #s(literal -1/2 binary64)) (+.f64 t (log.f64 (*.f64 z (+.f64 y x))))))
56.3%
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (-.f64 a #s(literal -1/2 binary64))))
43.3%
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
59.6%
(/.f64 (-.f64 (*.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x)))) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)))
46.7%
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 y x) z)) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 y x) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
44.9%
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
43.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
45.3%
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)))))
73.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
73.8%
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
33.9%
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (+.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (log.f64 (*.f64 z (+.f64 y x))))))) (/.f64 (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (+.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (log.f64 (*.f64 z (+.f64 y x))))))))
73.8%
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
67.3%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))))
99.4%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
74.4%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))))
62.1%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
73.8%
(+.f64 (+.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) a)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
99.0%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.0%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
74.5%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z))))
98.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
65.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
87.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a))
88.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t))
37.9%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
35.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Compiler

Compiled 2 130 to 1 348 computations (36.7% saved)

simplify160.0ms (1.1%)

Memory
21.3MiB live, 171.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (log.f64 z) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))
cost-diff128
(+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
cost-diff320
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
cost-diff0
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z)))
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z))))
cost-diff320
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))
cost-diff384
(fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(log.f64 y)
cost-diff0
(+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)))
cost-diff0
(-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
cost-diff0
(neg.f64 t)
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
cost-diff0
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
cost-diff0
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
cost-diff128
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
cost-diff1088
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
Rules
13 940×lower-fma.f32
13 930×lower-fma.f64
3 622×lower-+.f32
3 610×lower-+.f64
2 614×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055417
092419
1155410
2318406
3968406
42993406
55864406
67601406
08126397
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(+.f64 x y)
x
y
(log.f64 z)
z
t
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
(log.f64 t)
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(neg.f64 t)
t
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
(-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)
(+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)))
(log.f64 y)
y
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(log.f64 z)
z
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))
(fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(log.f64 y)
(-.f64 t (log.f64 z))
(log.f64 z)
z
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))
(pow.f64 (log.f64 z) #s(literal 2 binary64))
(log.f64 z)
z
#s(literal 2 binary64)
(pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))
(log.f64 (+.f64 y x))
(+.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x))))
#s(literal 1 binary64)
(log.f64 (/.f64 z (+.f64 y x)))
(/.f64 z (+.f64 y x))
(+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(neg.f64 t)
t
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(log.f64 t)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(log.f64 (+.f64 x y))
(log.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(log.f64 z)
z
t
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(log.f64 t)
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(neg.f64 t)
t
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y))))
(-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y)))
(+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)))
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))
(log.f64 y)
y
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(log.f64 z)
z
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y)))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y) (log.f64 y)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y) (log.f64 y))
(fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(log.f64 y)
(-.f64 t (log.f64 z))
(log.f64 z)
z
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (log.f64 (/.f64 z (+.f64 y x)))) t))
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))
(pow.f64 (log.f64 z) #s(literal 2 binary64))
(log.f64 z)
z
#s(literal 2 binary64)
(pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))
(log.f64 (+.f64 y x))
(+.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x))))
#s(literal 1 binary64)
(log.f64 (/.f64 z (+.f64 y x)))
(/.f64 z (+.f64 y x))
(+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t))
(neg.f64 t)
t
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(log.f64 t)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)

localize149.0ms (1%)

Memory
-0.3MiB live, 195.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.522480029305326
(pow.f64 (log.f64 z) #s(literal 2 binary64))
accuracy0.5748825195368841
(pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))
accuracy0.5983782692183669
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))
accuracy12.833056095545771
(log.f64 (/.f64 z (+.f64 y x)))
accuracy0.01953125
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))
accuracy0.09375
(/.f64 (/.f64 x y) y)
accuracy0.26713747857220943
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z)))
accuracy0.40844930519624756
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)))
accuracy0.00390625
(-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)
accuracy0.34633727076949977
(+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)))
accuracy0.35151448485631576
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
accuracy0.38824266376026206
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
accuracy0
(neg.f64 t)
accuracy41.48916588168077
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))
accuracy0.1855997153874533
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
accuracy0.1875
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
accuracy0.5699608595831682
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Samples
95.0ms256×0valid
Compiler

Compiled 389 to 50 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-log: 20.0ms (30.8% of total)
ival-add: 13.0ms (20.1% of total)
ival-div: 11.0ms (17% of total)
ival-mult: 7.0ms (10.8% of total)
ival-sub: 6.0ms (9.3% of total)
ival-pow2: 5.0ms (7.7% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series524.0ms (3.7%)

Memory
44.5MiB live, 783.0MiB allocated
Counts
24 → 888
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t) (patch (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) (patch (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (patch (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z))) (patch (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 z) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 z (+.f64 y x))) (patch (log.f64 (/.f64 z (+.f64 y x))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (patch (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #<representation binary64>) () ())) ())
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Calls

15 calls:

TimeVariablePointExpression
77.0ms
y
@inf
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (log y) (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- (pow (log z) 2) (pow (log (+ y x)) 2)) (/ 1 (log (/ z (+ y x))))) (+ (neg t) (* (log t) (- a 1/2)))) (+ (neg t) (* (log t) (- a 1/2))) (- (pow (log z) 2) (pow (log (+ y x)) 2)) (pow (log z) 2) (/ 1 (- a 1/2)) (+ (* (- a 1/2) (log t)) (log z)) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/ (/ x y) y) (log (/ z (+ y x))) (pow (log (+ y x)) 2))
57.0ms
t
@0
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (log y) (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- (pow (log z) 2) (pow (log (+ y x)) 2)) (/ 1 (log (/ z (+ y x))))) (+ (neg t) (* (log t) (- a 1/2)))) (+ (neg t) (* (log t) (- a 1/2))) (- (pow (log z) 2) (pow (log (+ y x)) 2)) (pow (log z) 2) (/ 1 (- a 1/2)) (+ (* (- a 1/2) (log t)) (log z)) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/ (/ x y) y) (log (/ z (+ y x))) (pow (log (+ y x)) 2))
54.0ms
z
@0
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (log y) (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- (pow (log z) 2) (pow (log (+ y x)) 2)) (/ 1 (log (/ z (+ y x))))) (+ (neg t) (* (log t) (- a 1/2)))) (+ (neg t) (* (log t) (- a 1/2))) (- (pow (log z) 2) (pow (log (+ y x)) 2)) (pow (log z) 2) (/ 1 (- a 1/2)) (+ (* (- a 1/2) (log t)) (log z)) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/ (/ x y) y) (log (/ z (+ y x))) (pow (log (+ y x)) 2))
52.0ms
z
@-inf
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (log y) (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- (pow (log z) 2) (pow (log (+ y x)) 2)) (/ 1 (log (/ z (+ y x))))) (+ (neg t) (* (log t) (- a 1/2)))) (+ (neg t) (* (log t) (- a 1/2))) (- (pow (log z) 2) (pow (log (+ y x)) 2)) (pow (log z) 2) (/ 1 (- a 1/2)) (+ (* (- a 1/2) (log t)) (log z)) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/ (/ x y) y) (log (/ z (+ y x))) (pow (log (+ y x)) 2))
42.0ms
z
@inf
((/ (log t) (/ 1 (- a 1/2))) (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (log y) (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- (pow (log z) 2) (pow (log (+ y x)) 2)) (/ 1 (log (/ z (+ y x))))) (+ (neg t) (* (log t) (- a 1/2)))) (+ (neg t) (* (log t) (- a 1/2))) (- (pow (log z) 2) (pow (log (+ y x)) 2)) (pow (log z) 2) (/ 1 (- a 1/2)) (+ (* (- a 1/2) (log t)) (log z)) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/ (/ x y) y) (log (/ z (+ y x))) (pow (log (+ y x)) 2))

simplify273.0ms (1.9%)

Memory
-14.8MiB live, 328.9MiB allocated
Algorithm
egg-herbie
Rules
6 058×lower-fma.f64
6 058×lower-fma.f32
5 048×lower-*.f64
5 048×lower-*.f32
4 898×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0163921639
1529020669
0828519913
Stop Event
iter limit
node limit
Counts
888 → 888
Calls
Call 1
Inputs
(* -1/2 (log t))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(+ (* -1/2 (log t)) (* a (log t)))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(* -1/2 (/ x (pow y 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
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(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(- (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ (log (* -1 z)) (log (/ -1 x))))) (+ t (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 z)) (log (/ -1 x))))))
(- (+ (* -1 (/ (- (/ (* y (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow (+ (log (* -1 z)) (log (/ -1 x))) 2)) (+ (* -2 (/ (* y (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log (* -1 z)) (log (/ -1 x))))) (/ (* y (pow (log z) 2)) (pow (+ (log (* -1 z)) (log (/ -1 x))) 2)))) x)) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ (log (* -1 z)) (log (/ -1 x)))))) (+ t (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log (* -1 z)) (log (/ -1 x))))))
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(* -1/2 (/ (pow x 2) (pow y 2)))
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(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(+ (log (* -1 z)) (log (/ -1 x)))
(+ (log (* -1 z)) (+ (log (/ -1 x)) (* -1 (/ y x))))
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(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(+ (* 2 (/ (* y (+ (log -1) (* -1 (log (/ -1 x))))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(+ (* -1 (/ (+ (* -2 (* y (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
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Outputs
(* -1/2 (log t))
(*.f64 (log.f64 t) #s(literal -1/2 binary64))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(-.f64 (+.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(/.f64 x (*.f64 y y))
(+ (log (* -1 z)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 z)))
(+ (log (* -1 z)) (+ (log (/ -1 x)) (* -1 (/ y x))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 y x)) (log.f64 (neg.f64 z)))
(+ (log (* -1 z)) (+ (log (/ -1 x)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y) x)) (log.f64 (neg.f64 z)))
(+ (log (* -1 z)) (+ (log (/ -1 x)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) x) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)) x)) (log.f64 (neg.f64 z)))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+ (* 2 (/ (* y (+ (log -1) (* -1 (log (/ -1 x))))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(fma.f64 (*.f64 y (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (* y (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 (neg.f64 y) y) (*.f64 y y)) x)) x))
(+ (* -1 (/ (+ (* -2 (* y (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 y y) (-.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64))) x))) x)) x))

rewrite524.0ms (3.7%)

Memory
-65.2MiB live, 304.2MiB allocated
Rules
4 202×lower-/.f32
4 188×lower-/.f64
3 764×lower-fma.f32
3 754×lower-fma.f64
3 550×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055313
092295
1420288
23928288
09578280
Stop Event
iter limit
node limit
iter limit
Counts
24 → 850
Calls
Call 1
Inputs
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(neg.f64 t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
(-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t)
(+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)))
(log.f64 y)
(fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y))) (-.f64 t (log.f64 z)))
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))
(pow.f64 (log.f64 z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)))
(/.f64 (/.f64 x y) y)
(log.f64 (/.f64 z (+.f64 y x)))
(pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (log.f64 t) #s(literal -1 binary64)) (neg.f64 (-.f64 a #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t))) (neg.f64 (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 t)))) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a))))
(/.f64 (neg.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (log.f64 t))) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)))
(/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 (log.f64 t) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (log.f64 t) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (log.f64 t)) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
(/.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))
(/.f64 (log.f64 t) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(fma.f64 a (log.f64 t) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(fma.f64 (log.f64 t) a (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) #s(literal -1 binary64)))
(+.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))
(+.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) (log.f64 (*.f64 (+.f64 y x) z))) (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) (log.f64 (*.f64 (+.f64 y x) z))) (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) (log.f64 (*.f64 (+.f64 y x) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (+.f64 y x) z)) (-.f64 t (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (neg.f64 t)) (log.f64 (*.f64 (+.f64 y x) z))) (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))))))
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(fma.f64 (neg.f64 (log.f64 t)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x (log.f64 y)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)))
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(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x))
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(+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x (log.f64 y)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (log.f64 y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(*.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
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(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
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(*.f64 x (pow.f64 y #s(literal -2 binary64)))
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(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
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(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y (neg.f64 y))))
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(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
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(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
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(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y))))
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(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
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(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (log.f64 (/.f64 z (+.f64 y x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 z (+.f64 y x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 (/.f64 z (+.f64 y x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 z) (log.f64 z) (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (log.f64 z) (log.f64 z) (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (+.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 y x) z))))
(/.f64 (log.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 z (+.f64 y x))) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 z (+.f64 y x))) #s(literal -1 binary64)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 y x) z)))
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(fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) (neg.f64 (log.f64 (+.f64 y x))))
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 y x)) (log.f64 z))
(-.f64 (log.f64 (*.f64 z #s(literal 1 binary64))) (log.f64 (+.f64 y x)))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 y x) z))))
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(-.f64 (log.f64 (neg.f64 z)) (log.f64 (neg.f64 (+.f64 y x))))
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 y x) z)))
(-.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 (/.f64 z (+.f64 y x)))) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 x y)))) (log.f64 (-.f64 x y)))
(+.f64 (log.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))) (log.f64 (-.f64 y x)))
(+.f64 (log.f64 (/.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 (log.f64 (/.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (neg.f64 (log.f64 (+.f64 y x))) (log.f64 z))
(+.f64 (log.f64 (neg.f64 z)) (log.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 z (+.f64 y x))))
(+.f64 (log.f64 z) (neg.f64 (log.f64 (+.f64 y x))))
(log.f64 (/.f64 z (+.f64 y x)))
(*.f64 (log.f64 (+.f64 y x)) (log.f64 (+.f64 y x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (+.f64 y x))))
(pow.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 y x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 y x))) #s(literal 2 binary64)))

eval292.0ms (2%)

Memory
17.0MiB live, 432.9MiB allocated
Compiler

Compiled 60 987 to 4 935 computations (91.9% saved)

prune270.0ms (1.9%)

Memory
-18.1MiB live, 500.2MiB allocated
Pruning

49 alts after pruning (48 fresh and 1 done)

PrunedKeptTotal
New1 740371 777
Fresh201131
Picked415
Done000
Total1 764491 813
Accuracy
99.9%
Counts
1 813 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) #s(approx (+ (neg t) (* (log t) (- a 1/2))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
98.8%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (log (/ z (+ y x))) (-.f64 (log.f64 z) (log.f64 y)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
78.9%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
43.9%
(fma.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 y x) z)))
73.8%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
56.7%
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
56.9%
(fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
49.8%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (*.f64 (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (neg.f64 (log.f64 t)))) (*.f64 (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
56.8%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 1 binary64))) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
56.9%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (neg.f64 (log.f64 t)))) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
56.3%
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (-.f64 a #s(literal -1/2 binary64))))
43.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
73.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
22.1%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
99.3%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
62.1%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (log t) (/ 1 (- a 1/2))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
73.8%
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
99.0%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.0%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
74.4%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
74.5%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
62.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
37.9%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
42.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)))
18.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
94.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))))
99.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z))))
73.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
71.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
66.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) (log.f64 z))))) t))
73.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
61.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)))) t))
74.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
41.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) y x) y (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 y y))) (-.f64 t (log.f64 z))))
31.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
37.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
45.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y))) x) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
45.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (/.f64 (log.f64 y) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
74.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
71.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
87.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (fma.f64 (log.f64 t) (+.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) a))
88.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t))
35.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
2.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
2.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
2.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
64.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
87.9%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (neg.f64 (log.f64 t))) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t))) #s(literal 1 binary64)) t)))
92.3%
#s(approx (+ (* (- (pow (log z) 2) (pow (log (+ y x)) 2)) (/ 1 (log (/ z (+ y x))))) (+ (neg t) (* (log t) (- a 1/2)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z y)))) (+.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (/.f64 z y))) t)))
Compiler

Compiled 2 295 to 1 745 computations (24% saved)

simplify157.0ms (1.1%)

Memory
15.1MiB live, 166.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (log.f64 z) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t))
cost-diff128
(+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
cost-diff14272
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
cost-diff0
(-.f64 a #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)))
cost-diff0
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z)))
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))))
cost-diff0
(-.f64 a #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y)))
cost-diff0
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 t t))
cost-diff192
(+.f64 #s(literal 0 binary64) t)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
cost-diff0
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z))))
cost-diff6464
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x)
cost-diff22464
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))
Rules
17 630×lower-fma.f32
17 616×lower-fma.f64
4 940×lower-+.f32
4 932×lower-+.f64
3 140×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070694
0114680
1204679
2423671
31384590
44462574
08465556
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y))))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))
(-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(pow.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y))
(-.f64 t (log.f64 z))
(log.f64 z)
z
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
(-.f64 #s(literal 0 binary64) (*.f64 t t))
#s(literal 0 binary64)
(*.f64 t t)
t
(+.f64 #s(literal 0 binary64) t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(log.f64 (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))
#s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y)))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))
(fma.f64 x #s(literal -1/2 binary64) y)
x
#s(literal -1/2 binary64)
y
(*.f64 y y)
(log.f64 y)
(-.f64 t (log.f64 z))
(log.f64 z)
z
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t))
(pow.f64 (log.f64 z) #s(literal 2 binary64))
(log.f64 z)
z
#s(literal 2 binary64)
(*.f64 t t)
t
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t))
#s(literal 1 binary64)
(+.f64 (log.f64 z) t)
(+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(log.f64 (+.f64 y x))
(+.f64 y x)
y
x
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(log.f64 t)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y) (log.f64 y))) (-.f64 t (log.f64 z))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y) (log.f64 y))) (-.f64 t (log.f64 z)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y))))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y) (log.f64 y)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y) (log.f64 y))
(-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y)) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x)
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) x (pow.f64 y #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(pow.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y))
(-.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) (/.f64 x y)) (log.f64 y))
(-.f64 t (log.f64 z))
(log.f64 z)
z
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
(neg.f64 t)
(-.f64 #s(literal 0 binary64) (*.f64 t t))
(*.f64 (neg.f64 t) t)
#s(literal 0 binary64)
(*.f64 t t)
t
(+.f64 #s(literal 0 binary64) t)
t
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(log.f64 (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y)) x (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) (-.f64 t (log.f64 y))))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z)))
(fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y)) x (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 z) (-.f64 t (log.f64 y)))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)))
(fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y)) x (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))
(fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y)) x (log.f64 y))
#s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y)))
#s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y)
(fma.f64 x #s(literal -1/2 binary64) y)
(fma.f64 #s(literal -1/2 binary64) x y)
x
#s(literal -1/2 binary64)
y
(*.f64 y y)
(log.f64 y)
(-.f64 t (log.f64 z))
(log.f64 z)
z
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(-.f64 (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (log.f64 z)) t)
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t))
(fma.f64 (neg.f64 t) t (pow.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 (log.f64 z) #s(literal 2 binary64))
(log.f64 z)
z
#s(literal 2 binary64)
(*.f64 t t)
t
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t))
#s(literal 1 binary64)
(+.f64 (log.f64 z) t)
(+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x)))
(log.f64 (+.f64 y x))
(+.f64 y x)
y
x
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
(log.f64 t)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)

localize228.0ms (1.6%)

Memory
22.8MiB live, 341.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t))
accuracy0.29745306496468954
(+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
accuracy0.522480029305326
(pow.f64 (log.f64 z) #s(literal 2 binary64))
accuracy13.371138205305408
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
accuracy0.01953125
(fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))
accuracy0.26713747857220943
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z)))
accuracy0.40844930519624756
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)))
accuracy29.974276689692353
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))
accuracy0.00390625
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)
accuracy0.38824266376026206
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
accuracy0.38959205975411276
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y)))
accuracy16.5097532435438
(log.f64 (*.f64 z y))
accuracy0
(+.f64 #s(literal 0 binary64) t)
accuracy0
(*.f64 t t)
accuracy28.2624617380371
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
accuracy41.48916588168077
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
accuracy0.26713747857220943
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))
accuracy0.40844930519624756
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y))))
accuracy0.525722509768442
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))
accuracy0.564785009768442
(pow.f64 (log.f64 y) #s(literal 2 binary64))
Samples
158.0ms256×0valid
Compiler

Compiled 577 to 66 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-mult: 35.0ms (27.5% of total)
ival-div: 19.0ms (15% of total)
ival-add: 18.0ms (14.2% of total)
ival-log: 17.0ms (13.4% of total)
ival-pow: 15.0ms (11.8% of total)
ival-sub: 14.0ms (11% of total)
ival-pow2: 7.0ms (5.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series741.0ms (5.2%)

Memory
-25.3MiB live, 743.2MiB allocated
Counts
26 → 912
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z))) (patch (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) t) (patch (+.f64 #s(literal 0 binary64) t) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 t t)) (patch (-.f64 #s(literal 0 binary64) (*.f64 t t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t) (patch (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) #<representation binary64>) () ())
#s(alt (-.f64 a #s(literal 1/2 binary64)) (patch (-.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))) (patch (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (patch (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (patch (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (patch (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 z) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) #<representation binary64>) () ())
#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 z y)) (patch (log.f64 (*.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y)) (patch (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) (patch (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (patch (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) (patch (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) (patch (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) (patch (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) (patch (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
86.0ms
z
@-inf
((/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (+ (* (- a 1/2) (log t)) (log (* z y))) (- a 1/2) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (pow (log y) 2) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (* t t) (log (* z y)) (/ (+ (* x -1/2) y) (* y y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (/ 1 (+ (log z) t)))
68.0ms
t
@inf
((/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (+ (* (- a 1/2) (log t)) (log (* z y))) (- a 1/2) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (pow (log y) 2) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (* t t) (log (* z y)) (/ (+ (* x -1/2) y) (* y y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (/ 1 (+ (log z) t)))
65.0ms
z
@inf
((/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (+ (* (- a 1/2) (log t)) (log (* z y))) (- a 1/2) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (pow (log y) 2) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (* t t) (log (* z y)) (/ (+ (* x -1/2) y) (* y y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (/ 1 (+ (log z) t)))
57.0ms
z
@0
((/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (+ (* (- a 1/2) (log t)) (log (* z y))) (- a 1/2) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (pow (log y) 2) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (* t t) (log (* z y)) (/ (+ (* x -1/2) y) (* y y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (/ 1 (+ (log z) t)))
55.0ms
t
@0
((/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (+ (* (- a 1/2) (log t)) (log (* z y))) (- a 1/2) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (* (- (pow (log z) 2) (* t t)) (/ 1 (+ (log z) t))) (+ (log (+ y x)) (* (log t) (- a 1/2)))) (+ (log (+ y x)) (* (log t) (- a 1/2))) (- (pow (log z) 2) (* t t)) (pow (log z) 2) (pow (log y) 2) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (* t t) (log (* z y)) (/ (+ (* x -1/2) y) (* y y)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (/ 1 (+ (log z) t)))

simplify294.0ms (2.1%)

Memory
29.6MiB live, 260.3MiB allocated
Algorithm
egg-herbie
Rules
7 350×lower-+.f64
7 350×lower-+.f32
6 842×lower-fma.f64
6 842×lower-fma.f32
3 508×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101520180
1318919543
0823918599
Stop Event
iter limit
node limit
Counts
912 → 898
Calls
Call 1
Inputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (* -1/2 (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))) (+ t (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))
(- (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))) (+ t (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))
(- (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))) (+ t (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))
(- (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))) (+ t (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log (* y z)) (* -1/2 (log t))) t)
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t)))) t)
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t)))) t)
(+ (log (* y z)) (* -1/2 (log t)))
(+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t))))
(+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t))))
(+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t))))
-1/2
(- a 1/2)
(- a 1/2)
(- a 1/2)
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
(+ (log y) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log y) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))
(+ (log y) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))
(+ (log y) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (/ (pow (log z) 2) (+ t (log z))))) (/ (pow t 2) (+ t (log z))))
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z))))
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z))))
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z))))
(+ (log (+ x y)) (* -1/2 (log t)))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))
(- (+ (* -1/2 (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))) (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))
(- (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))) (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))
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(* a (log t))
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(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (* a (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))))) (+ (/ t a) (/ (pow (log y) 2) (* a (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (* a (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))))) (+ (/ t a) (/ (pow (log y) 2) (* a (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))))
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(* a (log t))
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(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (log t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
(* a (log t))
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(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* y z)) a))))
a
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (- 1 (* 1/2 (/ 1 a))))
(* a (log t))
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(* a (log t))
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(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z))))))) (/ (pow t 2) (+ t (log z))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (log t) (- a 1/2)) (* -1 (log y))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (log y)) x)) (+ (* 2 (/ (* y (log y)) x)) (* (log t) (- a 1/2)))) (* -1 (log y))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (/ x (pow y 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
Outputs
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (* -1/2 (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))) (+ t (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))
(-.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (log.f64 z)) (+.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))) t))
(- (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))) (+ t (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t)) (*.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))))
(- (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))) (+ t (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t)) (*.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))))
(- (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))) (+ t (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))))
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t)) (*.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log (* y z)) (* -1/2 (log t))) t)
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 y z))) t)
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t)))) t)
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) t)
(+ (log (* y z)) (* -1/2 (log t)))
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 y z)))
(+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))
(+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))
(+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))
-1/2
#s(literal -1/2 binary64)
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
(- a 1/2)
(-.f64 a #s(literal 1/2 binary64))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))) t)
(+.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (*.f64 (log.f64 t) #s(literal -1/2 binary64))) (log.f64 z)) (-.f64 (log.f64 y) t))
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
(-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y))) (log.f64 z)) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
(-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y))) (log.f64 z)) t)
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
(-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y))) (log.f64 z)) t)
(+ (log y) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))
(+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))
(+ (log y) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)))
(+ (log y) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)))
(+ (log y) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)))
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (/ (pow (log z) 2) (+ t (log z))))) (/ (pow t 2) (+ t (log z))))
(-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 t (log.f64 z)))) (log.f64 (+.f64 y x))) (/.f64 (*.f64 t t) (+.f64 t (log.f64 z))))
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z))))
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 t (log.f64 z)))) (log.f64 (+.f64 y x))) (/.f64 (*.f64 t t) (+.f64 t (log.f64 z))))
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z))))
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 t (log.f64 z)))) (log.f64 (+.f64 y x))) (/.f64 (*.f64 t t) (+.f64 t (log.f64 z))))
(- (+ (log (+ x y)) (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z))))
(-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 t (log.f64 z)))) (log.f64 (+.f64 y x))) (/.f64 (*.f64 t t) (+.f64 t (log.f64 z))))
(+ (log (+ x y)) (* -1/2 (log t)))
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x)))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x)))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x)))
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x)))
(- (+ (* -1/2 (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y)))) (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y)))))
(- (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))) (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y)))))
(- (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))) (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y))) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x) (log.f64 y)))))
(- (+ (* -1/2 (log t)) (+ (* a (log t)) (/ (* (pow x 2) (pow (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)) 2)) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))) (/ (pow (log y) 2) (- (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (log y))))
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(* a (log t))
(*.f64 a (log.f64 t))
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))
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(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 y x))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(+.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 (log.f64 #s(literal -1 binary64)) t))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(+.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 (log.f64 #s(literal -1 binary64)) t))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 (log.f64 #s(literal -1 binary64)) t))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 y x))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(+.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 (log.f64 #s(literal -1 binary64)) t))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(+.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 (log.f64 #s(literal -1 binary64)) t))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z)))))) (/ (pow t 2) (+ t (log z))))
(-.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 t (log.f64 z))))) (/.f64 (*.f64 t t) (+.f64 t (log.f64 z))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (+ (/ y x) (/ (pow (log z) 2) (+ t (log z))))))) (/ (pow t 2) (+ t (log z))))
(-.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (/.f64 y x) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 t (log.f64 z)))))) (/.f64 (*.f64 t t) (+.f64 t (log.f64 z))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z))))))) (/ (pow t 2) (+ t (log z))))
(-.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 t (log.f64 z)))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) x))) (/.f64 (*.f64 t t) (+.f64 t (log.f64 z))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (+ (* (log t) (- a 1/2)) (/ (pow (log z) 2) (+ t (log z))))))) (/ (pow t 2) (+ t (log z))))
(-.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 t (log.f64 z)))) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y)) x))) (/.f64 (*.f64 t t) (+.f64 t (log.f64 z))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))
(+.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 y x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))
(+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))
(+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (log t) (- a 1/2)) (* -1 (log y))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (log y)) x)) (+ (* 2 (/ (* y (log y)) x)) (* (log t) (- a 1/2)))) (* -1 (log y))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* -1/2 (/ x (pow y 2)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* -1 (* x (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (* x y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))

rewrite315.0ms (2.2%)

Memory
-18.0MiB live, 256.4MiB allocated
Rules
5 272×lower-fma.f32
5 258×lower-fma.f64
4 416×lower-*.f32
4 406×lower-*.f64
2 256×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070509
0114491
1554393
25122393
08187383
Stop Event
iter limit
node limit
iter limit
Counts
26 → 696
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y)))) (-.f64 t (log.f64 z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
(+.f64 #s(literal 0 binary64) t)
(-.f64 #s(literal 0 binary64) (*.f64 t t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y)))
(-.f64 a #s(literal 1/2 binary64))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))))
(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t))
(pow.f64 (log.f64 z) #s(literal 2 binary64))
(pow.f64 (log.f64 y) #s(literal 2 binary64))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 x y) y) (pow.f64 y #s(literal -1 binary64))) x) (log.f64 y))))
(*.f64 t t)
(log.f64 (*.f64 z y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))
(fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t))
Outputs
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eval451.0ms (3.2%)

Memory
6.8MiB live, 502.7MiB allocated
Compiler

Compiled 58 732 to 4 723 computations (92% saved)

prune522.0ms (3.6%)

Memory
-7.9MiB live, 715.7MiB allocated
Pruning

56 alts after pruning (54 fresh and 2 done)

PrunedKeptTotal
New1 766231 789
Fresh123143
Picked415
Done011
Total1 782561 838
Accuracy
99.9%
Counts
1 838 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) #s(approx (+ (neg t) (* (log t) (- a 1/2))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
98.8%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (log (/ z (+ y x))) (-.f64 (log.f64 z) (log.f64 y)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
78.8%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) #s(approx (+ (log (+ y x)) (* (log t) (- a 1/2))) (*.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (/.f64 (log.f64 (+.f64 y x)) a)) (log.f64 t)) a)))
43.9%
(fma.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 y x) z)))
73.8%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
56.7%
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
56.9%
(fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
49.8%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (*.f64 (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (neg.f64 (log.f64 t)))) (*.f64 (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
56.8%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 1 binary64))) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
56.9%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (neg.f64 (log.f64 t)))) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
43.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
45.3%
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))))
73.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
22.1%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
99.3%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
73.8%
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
99.0%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.0%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
74.4%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
74.5%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
62.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
37.9%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
11.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
7.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
42.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)))
16.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
16.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
18.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
35.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
98.9%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t))
73.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
71.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
73.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
57.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))))
48.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
73.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
61.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)))) t))
74.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
45.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z))))
37.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
74.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
41.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) y x) y (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 y y))) (-.f64 t (log.f64 z))))
31.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
45.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y))) x) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
72.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (/.f64 (log.f64 (*.f64 y z)) a)) (log.f64 t)) a)) t))
72.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 y z))) (neg.f64 a)) (log.f64 t)))) t))
71.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
88.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t))
35.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
2.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
2.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
2.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
46.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
65.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
64.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
92.3%
#s(approx (+ (* (- (pow (log z) 2) (pow (log (+ y x)) 2)) (/ 1 (log (/ z (+ y x))))) (+ (neg t) (* (log t) (- a 1/2)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z y)))) (+.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (/.f64 z y))) t)))
Compiler

Compiled 2 364 to 1 866 computations (21.1% saved)

simplify172.0ms (1.2%)

Memory
21.8MiB live, 253.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))))
cost-diff0
#s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x)))
cost-diff0
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z)))
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z))))
cost-diff0
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
cost-diff0
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))
cost-diff0
#s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
cost-diff0
#s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y)))
cost-diff0
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z)))
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
cost-diff320
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x))
cost-diff0
(neg.f64 t)
cost-diff0
(*.f64 (neg.f64 t) t)
cost-diff0
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
cost-diff1024
(/.f64 (*.f64 (neg.f64 t) t) t)
cost-diff0
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
cost-diff128
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
cost-diff1792
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))
cost-diff5760
(/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))
Rules
10 576×lower-fma.f32
10 570×lower-fma.f64
3 492×lower-*.f32
3 482×lower-*.f64
3 012×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083794
0123798
1226779
2451768
31364711
44277673
08699642
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(log.f64 (+.f64 x y))
(+.f64 x y)
x
y
(log.f64 z)
z
t
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))
#s(literal 1 binary64)
(/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))
(pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(log.f64 t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
(/.f64 (*.f64 (neg.f64 t) t) t)
(*.f64 (neg.f64 t) t)
(neg.f64 t)
t
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z)))
#s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(*.f64 y x)
y
(*.f64 y y)
(-.f64 t (log.f64 z))
t
(log.f64 z)
z
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
#s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(log.f64 z)
z
(log.f64 y)
y
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z))))
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z)))
#s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x)))
(*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))
(fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))))
(/.f64 (-.f64 a #s(literal 1/2 binary64)) x)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
x
(/.f64 (log.f64 t) x)
(log.f64 t)
t
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (log.f64 y) (*.f64 x x))
(log.f64 y)
(*.f64 x x)
(-.f64 t (log.f64 z))
(log.f64 z)
z
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 (+.f64 y x)))
(log.f64 (+.f64 x y))
(log.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(log.f64 z)
z
t
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))
(pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(log.f64 t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 t) t) t)
(neg.f64 t)
(*.f64 (neg.f64 t) t)
(neg.f64 t)
t
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y) x)) (-.f64 t (log.f64 z))))
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z)))
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y) x)) (-.f64 t (log.f64 z)))
#s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y)))
#s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x y) y) y) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x y) x)
(*.f64 x x)
x
#s(literal -1/2 binary64)
(*.f64 y x)
y
(*.f64 y y)
(-.f64 t (log.f64 z))
t
(log.f64 z)
z
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (+.f64 (log.f64 y) (log.f64 z)))))
#s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))
#s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (+.f64 (log.f64 y) (log.f64 z))))
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (+.f64 (log.f64 y) (log.f64 z)))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 z))
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
(log.f64 t)
t
(log.f64 z)
z
(log.f64 y)
y
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (log.f64 y) x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (pow.f64 y #s(literal -1 binary64))) x (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 t (log.f64 z))))
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z)))
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (log.f64 y) x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (pow.f64 y #s(literal -1 binary64))) x (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 t (log.f64 z)))
#s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x)))
#s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (log.f64 y) x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (pow.f64 y #s(literal -1 binary64))) x (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (log.f64 y) x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (pow.f64 y #s(literal -1 binary64))) x (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))))
(fma.f64 (/.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) x) (log.f64 t) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (/.f64 (log.f64 y) x) x))))
(/.f64 (-.f64 a #s(literal 1/2 binary64)) x)
(-.f64 a #s(literal 1/2 binary64))
a
#s(literal 1/2 binary64)
x
(/.f64 (log.f64 t) x)
(log.f64 t)
t
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (/.f64 (log.f64 y) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (/.f64 (log.f64 y) x) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (log.f64 y) (*.f64 x x))
(/.f64 (/.f64 (log.f64 y) x) x)
(log.f64 y)
(*.f64 x x)
(-.f64 t (log.f64 z))
(log.f64 z)
z

localize208.0ms (1.5%)

Memory
-25.6MiB live, 417.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.6229274759240342
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
accuracy2.5116981083020584
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))
accuracy7.77013034003205
(fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))))
accuracy34.30994416851712
(*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))
accuracy0.34633727076949977
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))
accuracy0.35151448485631576
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
accuracy0.38824266376026206
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
accuracy21.85475742018488
#s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))
accuracy0.26713747857220943
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z)))
accuracy1.0039062500000002
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x))
accuracy23.104080075825728
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))
accuracy61.933609657429706
#s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y)))
accuracy0
(*.f64 (neg.f64 t) t)
accuracy0
(neg.f64 t)
accuracy28.2624617380371
(/.f64 (*.f64 (neg.f64 t) t) t)
accuracy41.48916588168077
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
accuracy0.1855997153874533
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
accuracy0.2578125
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))
accuracy0.3046875
(/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))
accuracy0.5699608595831682
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Samples
156.0ms256×0valid
Compiler

Compiled 541 to 70 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-div: 29.0ms (24% of total)
ival-pow2: 25.0ms (20.7% of total)
ival-mult: 17.0ms (14.1% of total)
ival-add: 15.0ms (12.4% of total)
ival-log: 15.0ms (12.4% of total)
ival-sub: 11.0ms (9.1% of total)
ival-pow: 7.0ms (5.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series588.0ms (4.1%)

Memory
16.4MiB live, 600.3MiB allocated
Counts
25 → 996
Calls
Call 1
Inputs
#s(alt (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) (patch (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (patch (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 t) t) t) (patch (/.f64 (*.f64 (neg.f64 t) t) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 t) t) (patch (*.f64 (neg.f64 t) t) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (patch (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))) (patch (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (patch #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))) (patch #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)) (patch (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (patch (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z)))) (patch #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z))) (patch (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (patch #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (patch (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) (patch (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y)) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x)) (patch (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #<representation binary64>) () ())
Outputs
#s(alt (/ -2 (log t)) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) (patch (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (* -4 (/ a (log t))) (* 2 (/ 1 (log t)))) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) (patch (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* -8 (/ a (log t))) (* 4 (/ 1 (log t))))) (* 2 (/ 1 (log t)))) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) (patch (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* -16 (/ a (log t))) (* 8 (/ 1 (log t))))) (* 4 (/ 1 (log t))))) (* 2 (/ 1 (log t)))) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) (patch (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (log t)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (log t)) (* a (log t))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) (taylor 0 a) (#s(alt (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) (patch (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))) #<representation binary64>) () ())) ())
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Calls

15 calls:

TimeVariablePointExpression
86.0ms
a
@inf
((/ (pow (- a 1/2) -1) (log t)) (/ 1 (/ (pow (- a 1/2) -1) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (/ 1 (/ (pow (- a 1/2) -1) (log t)))) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (+ (* (* x x) -1/2) (* y x)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (+ (* (- a 1/2) (log t)) (log z)) (log y)) (+ (* (- a 1/2) (log t)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (+ (log (+ x y)) (log z)) (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/ 1/2 (* y y)))
67.0ms
y
@-inf
((/ (pow (- a 1/2) -1) (log t)) (/ 1 (/ (pow (- a 1/2) -1) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (/ 1 (/ (pow (- a 1/2) -1) (log t)))) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (+ (* (* x x) -1/2) (* y x)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (+ (* (- a 1/2) (log t)) (log z)) (log y)) (+ (* (- a 1/2) (log t)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (+ (log (+ x y)) (log z)) (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/ 1/2 (* y y)))
63.0ms
t
@0
((/ (pow (- a 1/2) -1) (log t)) (/ 1 (/ (pow (- a 1/2) -1) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (/ 1 (/ (pow (- a 1/2) -1) (log t)))) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (+ (* (* x x) -1/2) (* y x)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (+ (* (- a 1/2) (log t)) (log z)) (log y)) (+ (* (- a 1/2) (log t)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (+ (log (+ x y)) (log z)) (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/ 1/2 (* y y)))
58.0ms
z
@0
((/ (pow (- a 1/2) -1) (log t)) (/ 1 (/ (pow (- a 1/2) -1) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (/ 1 (/ (pow (- a 1/2) -1) (log t)))) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (+ (* (* x x) -1/2) (* y x)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (+ (* (- a 1/2) (log t)) (log z)) (log y)) (+ (* (- a 1/2) (log t)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (+ (log (+ x y)) (log z)) (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/ 1/2 (* y y)))
48.0ms
t
@-inf
((/ (pow (- a 1/2) -1) (log t)) (/ 1 (/ (pow (- a 1/2) -1) (log t))) (+ (- (+ (log (+ x y)) (log z)) t) (/ 1 (/ (pow (- a 1/2) -1) (log t)))) (- (+ (log (+ x y)) (log z)) t) (/ (* (neg t) t) t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (neg t) t) (neg t) (+ (* (* x x) -1/2) (* y x)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+ (+ (* (- a 1/2) (log t)) (log z)) (log y)) (+ (* (- a 1/2) (log t)) (log z)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (+ (log (+ x y)) (log z)) (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/ 1/2 (* y y)))

simplify264.0ms (1.8%)

Memory
23.2MiB live, 375.9MiB allocated
Algorithm
egg-herbie
Rules
6 948×lower-fma.f64
6 948×lower-fma.f32
6 918×lower-+.f64
6 918×lower-+.f32
3 768×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100922406
1321321716
0811420678
Stop Event
iter limit
node limit
Counts
996 → 996
Calls
Call 1
Inputs
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(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (+ (/ 1 (* x y)) (+ (/ (log z) (pow x 2)) (/ (* (log t) (- a 1/2)) (pow x 2)))) (+ (* -1 (/ (log y) (pow x 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ t (pow x 2))))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -2 (* y (log y))) (* 2 (* y (log y)))) (pow x 3))) (+ (/ 1 (* x y)) (+ (/ (log z) (pow x 2)) (/ (* (log t) (- a 1/2)) (pow x 2))))) (+ (* -1 (/ (log y) (pow x 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ t (pow x 2))))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (+ (/ 1 (* x y)) (/ (* (log t) (- a 1/2)) (pow x 2))) (+ (* -1 (/ (log y) (pow x 2))) (* 1/2 (/ 1 (pow y 2))))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -2 (* y (log y))) (* 2 (* y (log y)))) (pow x 3))) (+ (/ 1 (* x y)) (/ (* (log t) (- a 1/2)) (pow x 2)))) (+ (* -1 (/ (log y) (pow x 2))) (* 1/2 (/ 1 (pow y 2))))))
(/ -1/2 (pow y 2))
(- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2))))
(- (+ (/ 1 (* x y)) (+ (/ (log y) (pow x 2)) (/ (* (log t) (- a 1/2)) (pow x 2)))) (* 1/2 (/ 1 (pow y 2))))
(- (+ (/ 1 (* x y)) (+ (/ (log y) (pow x 2)) (/ (* (log t) (- a 1/2)) (pow x 2)))) (* 1/2 (/ 1 (pow y 2))))
(+ (log z) (* -1 (log (/ 1 x))))
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (+ (/ 1 (* x y)) (+ (/ (log y) (pow x 2)) (/ (* (log t) (- a 1/2)) (pow x 2)))) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (+ (/ 1 (* x y)) (+ (/ (log y) (pow x 2)) (/ (* (log t) (- a 1/2)) (pow x 2)))) (* 1/2 (/ 1 (pow y 2)))))
(/ -1/2 (pow y 2))
(- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2))))
(- (+ (/ 1 (* x y)) (/ (log y) (pow x 2))) (* 1/2 (/ 1 (pow y 2))))
(- (+ (/ 1 (* x y)) (/ (log y) (pow x 2))) (* 1/2 (/ 1 (pow y 2))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ y x) 1/2))
(* (pow x 2) (- (/ y x) 1/2))
(* (pow x 2) (- (/ y x) 1/2))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t)
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t)
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log z) (* (log t) (- a 1/2))) (+ t (* -1 (log y)))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log z) (+ (* -2 (/ (* y (log y)) x)) (+ (* 2 (/ (* y (log y)) x)) (* (log t) (- a 1/2))))) (+ t (* -1 (log y)))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (log t) (- a 1/2)) (* -1 (log y))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (log y)) x)) (+ (* 2 (/ (* y (log y)) x)) (* (log t) (- a 1/2)))) (* -1 (log y))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(/ -1/2 (pow y 2))
(- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2))))
(- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))
(- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* -1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(/ -1/2 (pow y 2))
(- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2))))
(- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))
(- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))
Outputs
(/ -2 (log t))
(/.f64 #s(literal -2 binary64) (log.f64 t))
(- (* -4 (/ a (log t))) (* 2 (/ 1 (log t))))
(fma.f64 (/.f64 a (log.f64 t)) #s(literal -4 binary64) (/.f64 #s(literal -2 binary64) (log.f64 t)))
(- (* a (- (* -8 (/ a (log t))) (* 4 (/ 1 (log t))))) (* 2 (/ 1 (log t))))
(fma.f64 (fma.f64 #s(literal -8 binary64) (/.f64 a (log.f64 t)) (/.f64 #s(literal -4 binary64) (log.f64 t))) a (/.f64 #s(literal -2 binary64) (log.f64 t)))
(- (* a (- (* a (- (* -16 (/ a (log t))) (* 8 (/ 1 (log t))))) (* 4 (/ 1 (log t))))) (* 2 (/ 1 (log t))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (/.f64 a (log.f64 t)) (/.f64 #s(literal -8 binary64) (log.f64 t))) a (/.f64 #s(literal -4 binary64) (log.f64 t))) a (/.f64 #s(literal -2 binary64) (log.f64 t)))
(* -1/2 (log t))
(*.f64 #s(literal -1/2 binary64) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(+ (* -1/2 (log t)) (* a (log t)))
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(+.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
(+.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))) t)
(+.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 z)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (-.f64 (log.f64 y) t))
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
(+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 z)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 y) t)))
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
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(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))) t)
(+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (log.f64 z)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 y) t)))
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(+ (log y) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))
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(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)))
(+ (log y) (+ (* -1/2 (log t)) (+ (* a (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))))
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log y) (+ (log z) (* -1/2 (log t)))) t)
(-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z)) (log.f64 y)) t)
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(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y)))
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(-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y)))
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(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))
(+ (log z) (* -1/2 (log t)))
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))
(+ (log z) (+ (* -1/2 (log t)) (* a (log t))))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
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(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
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(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)
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(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)
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(+.f64 (+.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (-.f64 (log.f64 #s(literal -1 binary64)) t))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log z) (* (log t) (- a 1/2))) (+ t (* -1 (log y)))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 t (log.f64 y))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (log z) (+ (* -2 (/ (* y (log y)) x)) (+ (* 2 (/ (* y (log y)) x)) (* (log t) (- a 1/2))))) (+ t (* -1 (log y)))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (log.f64 z) (fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) #s(literal 0 binary64) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 y) t)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (log t) (- a 1/2)) (* -1 (log y))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y (log y)) x)) (+ (* 2 (/ (* y (log y)) x)) (* (log t) (- a 1/2)))) (* -1 (log y))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) #s(literal 0 binary64) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(/ -1/2 (pow y 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
(- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x)))))
(+.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x))))
(+.f64 (+.f64 (-.f64 (/.f64 y x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 z)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))))
(+.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (neg.f64 y)) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))))
(+.f64 (-.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/3 binary64) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x) y)) x)) (log.f64 #s(literal -1 binary64)))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* -1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ (log y) (* (log t) (- a 1/2))) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))
(/ -1/2 (pow y 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
(- (/ 1 (* x y)) (* 1/2 (/ 1 (pow y 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))
(-.f64 (/.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(- (* -1 (/ (- (* -1 (/ (log y) x)) (/ 1 y)) x)) (* 1/2 (/ 1 (pow y 2))))
(-.f64 (/.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))

rewrite295.0ms (2.1%)

Memory
-0.2MiB live, 345.0MiB allocated
Rules
6 012×lower-fma.f32
6 006×lower-fma.f64
5 296×lower-*.f32
5 286×lower-*.f64
2 852×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083671
0123601
1606572
25884572
09100533
Stop Event
iter limit
node limit
iter limit
Counts
25 → 517
Calls
Call 1
Inputs
(/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t)))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
(/.f64 (*.f64 (neg.f64 t) t) t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
(*.f64 (neg.f64 t) t)
(neg.f64 t)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z)))
#s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
#s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z))))
(-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))) (-.f64 t (log.f64 z)))
#s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x)))
(fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x)))))
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))
(*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))) (*.f64 x x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (log.f64 y) (*.f64 x x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
Outputs
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (log.f64 t)))
(*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 t) #s(literal -1 binary64))))
(*.f64 (pow.f64 (log.f64 t) #s(literal -1 binary64)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (log.f64 t)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 t) #s(literal -1 binary64)) (-.f64 a #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 t) #s(literal -1 binary64)) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 t) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 t) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 t) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (log.f64 t)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 t) #s(literal -1 binary64)) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 t))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (log.f64 t))))
(/.f64 (pow.f64 (log.f64 t) #s(literal -1 binary64)) (-.f64 a #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (log.f64 t)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 t))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (neg.f64 (log.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
(/.f64 (/.f64 (pow.f64 (log.f64 t) #s(literal -1 binary64)) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t)))
(/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (log.f64 t)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (log.f64 t)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 t)))
(*.f64 (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (log.f64 t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 t) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 t) #s(literal 1 binary64)) (-.f64 a #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 t) #s(literal 1 binary64)) (-.f64 a #s(literal 1/2 binary64)))
(*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))
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(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)))))
(fma.f64 (/.f64 (log.f64 y) x) (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)))))
(fma.f64 (neg.f64 (log.f64 y)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 y) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)))))
(fma.f64 (log.f64 y) (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)))))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y) (*.f64 (neg.f64 (log.f64 y)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y))))
(+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)))
(+.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y))
(+.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 y)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal -1 binary64)))

eval252.0ms (1.8%)

Memory
-4.1MiB live, 476.1MiB allocated
Compiler

Compiled 45 739 to 3 958 computations (91.3% saved)

prune320.0ms (2.2%)

Memory
34.6MiB live, 538.0MiB allocated
Pruning

60 alts after pruning (56 fresh and 4 done)

PrunedKeptTotal
New1 499141 513
Fresh74249
Picked325
Done022
Total1 509601 569
Accuracy
100.0%
Counts
1 569 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 y x)))) #s(approx (+ (neg t) (* (log t) (- a 1/2))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)))
98.8%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (log (/ z (+ y x))) (-.f64 (log.f64 z) (log.f64 y)))) (+.f64 (neg.f64 t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
78.8%
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) #s(approx (+ (log (+ y x)) (* (log t) (- a 1/2))) (*.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (/.f64 (log.f64 (+.f64 y x)) a)) (log.f64 t)) a)))
43.9%
(fma.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -1 binary64)) (log.f64 (*.f64 (+.f64 y x) z)))
73.8%
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
56.7%
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (pow.f64 (-.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
56.9%
(fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
56.8%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (log.f64 t)) (*.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64))) (*.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (log.f64 t))))
43.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
45.3%
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))))
73.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
99.4%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (-.f64 a #s(literal 1/2 binary64)) (pow.f64 (log.f64 t) #s(literal -1 binary64))))
22.1%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (pow.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
99.3%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (- a 1/2) -1) (log t)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (-.f64 a #s(literal 1/2 binary64))))))
73.8%
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
99.0%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.0%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (fma.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (/.f64 (log.f64 z) t)) t (neg.f64 t))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
74.4%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
74.4%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
74.5%
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
62.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
37.9%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
11.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
7.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
42.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)))
16.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
18.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
35.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
98.9%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t))
73.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
71.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
73.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
57.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (fma.f64 #s(approx (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 y y))) x (log.f64 y))) (-.f64 t (log.f64 z))))
48.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
61.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)))) t))
74.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
31.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) #s(approx (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (*.f64 x x))) (-.f64 t (log.f64 z))))
33.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
36.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (*.f64 (/.f64 a x) (/.f64 (log.f64 t) x))) (*.f64 x x))) (-.f64 t (log.f64 z))))
74.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
31.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
41.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) y x) y (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 y y))) (-.f64 t (log.f64 z))))
45.1%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y))) x) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
38.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
72.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 (+.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (/.f64 (log.f64 (*.f64 y z)) a)) (log.f64 t)) a)) t))
72.8%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 y z))) (neg.f64 a)) (log.f64 t)))) t))
71.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
88.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (-.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (/.f64 (log.f64 z) t)) #s(literal 1 binary64))) t))
35.2%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
2.6%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
2.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
2.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
2.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
46.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
65.5%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
64.7%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
46.4%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
28.3%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y))))
41.0%
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
92.3%
#s(approx (+ (* (- (pow (log z) 2) (pow (log (+ y x)) 2)) (/ 1 (log (/ z (+ y x))))) (+ (neg t) (* (log t) (- a 1/2)))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z y)))) (+.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (/.f64 z y))) t)))
Compiler

Compiled 3 775 to 1 538 computations (59.3% saved)

regimes472.0ms (3.3%)

Memory
-31.3MiB live, 535.8MiB allocated
Counts
111 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (*.f64 (/.f64 a x) (/.f64 (log.f64 t) x))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
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#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 y)) (log.f64 z))))) t))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (+.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (log.f64 (*.f64 z (+.f64 y x))))))) (/.f64 (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (+.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (log.f64 (*.f64 z (+.f64 y x))))))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

11 calls:

75.0ms
z
58.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
55.0ms
a
46.0ms
y
35.0ms
(-.f64 a #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1t
99.4%1a
99.4%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
99.4%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
99.4%1(log.f64 (+.f64 x y))
99.4%1(+.f64 x y)
99.4%1(log.f64 z)
99.4%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes228.0ms (1.6%)

Memory
19.5MiB live, 290.3MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (*.f64 (/.f64 a x) (/.f64 (log.f64 t) x))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) #s(approx (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (-.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (+.f64 y x))) (log.f64 z)) t))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (/ (log t) (/ 1 (- a 1/2))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t))
Calls

11 calls:

42.0ms
(log.f64 (+.f64 x y))
26.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
19.0ms
z
19.0ms
y
18.0ms
(log.f64 z)
Results
AccuracySegmentsBranch
98.9%1x
98.9%1y
98.9%1z
98.9%1a
98.9%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
98.9%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
98.9%1(log.f64 (+.f64 x y))
98.9%1(+.f64 x y)
98.9%1(log.f64 z)
98.9%1(-.f64 a #s(literal 1/2 binary64))
98.9%1t
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes263.0ms (1.8%)

Memory
29.8MiB live, 332.0MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (*.f64 (/.f64 a x) (/.f64 (log.f64 t) x))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) #s(approx (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
Calls

11 calls:

63.0ms
y
47.0ms
x
19.0ms
t
18.0ms
(log.f64 z)
17.0ms
a
Results
AccuracySegmentsBranch
98.8%1t
98.8%1(-.f64 a #s(literal 1/2 binary64))
98.8%1x
98.8%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
98.8%1y
98.8%1z
98.8%1a
98.8%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
98.8%1(log.f64 (+.f64 x y))
98.8%1(+.f64 x y)
98.8%1(log.f64 z)
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes230.0ms (1.6%)

Memory
-40.1MiB live, 340.5MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (*.f64 (/.f64 a x) (/.f64 (log.f64 t) x))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) #s(approx (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

11 calls:

31.0ms
z
31.0ms
y
30.0ms
(+.f64 x y)
22.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
18.0ms
x
Results
AccuracySegmentsBranch
80.2%4x
81.5%2y
85.2%2z
98.5%2t
98.3%2(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
81.5%2(log.f64 (+.f64 x y))
81.5%2(+.f64 x y)
85.2%2(log.f64 z)
97.3%3(-.f64 a #s(literal 1/2 binary64))
97.3%3a
94.2%3(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes59.0ms (0.4%)

Memory
10.5MiB live, 47.9MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (*.f64 (/.f64 a x) (/.f64 (log.f64 t) x))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) #s(approx (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)))) t))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

2 calls:

41.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
15.0ms
t
Results
AccuracySegmentsBranch
97.8%2(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
98.0%2t
Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes84.0ms (0.6%)

Memory
7.9MiB live, 126.0MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (*.f64 (/.f64 a x) (/.f64 (log.f64 t) x))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) #s(approx (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y))))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
Calls

4 calls:

33.0ms
t
19.0ms
a
15.0ms
(-.f64 a #s(literal 1/2 binary64))
14.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Results
AccuracySegmentsBranch
88.3%3a
88.2%3(-.f64 a #s(literal 1/2 binary64))
96.5%3(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
85.9%2t
Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes38.0ms (0.3%)

Memory
4.9MiB live, 75.8MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) (log.f64 t) (log.f64 (*.f64 z y))) t))
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (*.f64 (/.f64 a x) (/.f64 (log.f64 t) x))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) #s(approx (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (*.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (/.f64 (log.f64 (*.f64 y z)) t)) #s(literal 1 binary64)) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) x) (/.f64 (log.f64 t) x) #s(approx (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) (*.f64 x x))) (-.f64 t (log.f64 z))))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
(-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
Calls

2 calls:

18.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
17.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Results
AccuracySegmentsBranch
94.2%3(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
93.6%3(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes16.0ms (0.1%)

Memory
-7.3MiB live, 29.2MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
Calls

1 calls:

14.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Results
AccuracySegmentsBranch
93.6%3(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes12.0ms (0.1%)

Memory
28.2MiB live, 28.2MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
Calls

1 calls:

10.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Results
AccuracySegmentsBranch
93.6%3(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes33.0ms (0.2%)

Memory
-31.5MiB live, 49.7MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (log.f64 (*.f64 y z)))))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
Calls

2 calls:

17.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
10.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Results
AccuracySegmentsBranch
92.0%3(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
82.2%5(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes12.0ms (0.1%)

Memory
26.4MiB live, 26.4MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
Calls

1 calls:

10.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Results
AccuracySegmentsBranch
92.0%3(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Compiler

Compiled 16 to 15 computations (6.3% saved)

regimes127.0ms (0.9%)

Memory
-15.6MiB live, 225.9MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) #s(approx (/ (+ (* (* x x) -1/2) (* y x)) (* y y)) (/.f64 x y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (pow.f64 t #s(literal -1 binary64)))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/2 binary64)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 #s(approx (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) #s(approx (* (+ (* (/ (- a 1/2) x) (/ (log t) x)) (- (/ (/ 1 x) y) (- (/ 1/2 (* y y)) (/ (log y) (* x x))))) (* x x)) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y)))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t))) (log.f64 y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))
Outputs
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Calls

11 calls:

23.0ms
(log.f64 z)
12.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
12.0ms
(-.f64 a #s(literal 1/2 binary64))
11.0ms
(+.f64 x y)
11.0ms
x
Results
AccuracySegmentsBranch
74.5%1x
74.5%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
74.5%1y
74.5%1(log.f64 (+.f64 x y))
74.5%1(+.f64 x y)
74.5%1z
74.5%1(log.f64 z)
74.5%1t
74.5%1(-.f64 a #s(literal 1/2 binary64))
74.5%1a
74.5%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes65.0ms (0.5%)

Memory
18.1MiB live, 141.9MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (log (* z y))) (*.f64 a (log.f64 t))) t))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
Calls

11 calls:

9.0ms
(log.f64 z)
6.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
6.0ms
y
5.0ms
(+.f64 x y)
5.0ms
z
Results
AccuracySegmentsBranch
71.2%1a
71.2%1t
71.2%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
71.2%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
71.2%1(-.f64 a #s(literal 1/2 binary64))
71.2%1y
71.2%1z
71.2%1(log.f64 (+.f64 x y))
71.2%1(+.f64 x y)
71.2%1(log.f64 z)
71.2%1x
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes111.0ms (0.8%)

Memory
-3.7MiB live, 114.6MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (- a 1/2)))) (*.f64 a (log.f64 t)))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))
Calls

11 calls:

60.0ms
(+.f64 x y)
6.0ms
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
5.0ms
(-.f64 a #s(literal 1/2 binary64))
5.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
5.0ms
(log.f64 (+.f64 x y))
Results
AccuracySegmentsBranch
42.5%2y
62.6%3a
42.5%2(log.f64 (+.f64 x y))
42.5%2(+.f64 x y)
53.1%2(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
44.0%3z
60.2%2t
46.6%4(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
44.0%3(log.f64 z)
47.1%4x
62.6%3(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

regimes86.0ms (0.6%)

Memory
-8.9MiB live, 107.0MiB allocated
Accuracy

Total -22.0b remaining (-53%)

Threshold costs -22b (-53%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (*.f64 (neg.f64 t) t) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) x) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 y y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (/.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 t) t)) (neg.f64 t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (/ (- (pow (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) 2) (pow (log y) 2)) (- (* (+ (* -1/2 (/ (/ x y) y)) (pow y -1)) x) (log y)))) (- t (log z))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))
Outputs
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Calls

11 calls:

34.0ms
a
9.0ms
y
7.0ms
x
5.0ms
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
4.0ms
(log.f64 (+.f64 x y))
Results
AccuracySegmentsBranch
35.2%1z
35.2%1(log.f64 z)
35.2%1y
35.2%1(log.f64 (+.f64 x y))
35.2%1(+.f64 x y)
35.2%1(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
35.2%1x
35.2%1(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
35.2%1t
35.2%1a
35.2%1(-.f64 a #s(literal 1/2 binary64))
Compiler

Compiled 40 to 75 computations (-87.5% saved)

bsearch15.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.04893032869011609
0.24790532158890177
Samples
9.0ms96×0valid
Compiler

Compiled 163 to 191 computations (-17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 3.0ms (49.2% of total)
ival-sub: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-mult: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.04893032869011609
0.24790532158890177
Compiler

Compiled 157 to 191 computations (-21.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1633.617693709098
25413315.98448547
0.0ms
-2009.0762842836252
-843.0871847936639
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
706.0780266904253
714.5908012390478
0.0ms
-800.3562099320591
-724.4933230347945
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
706.0780266904253
714.5908012390478
0.0ms
-800.3562099320591
-724.4933230347945
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
706.0780266904253
714.5908012390478
0.0ms
-800.3562099320591
-724.4933230347945
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1030.8734251853148
1047.0314351621853
0.0ms
-827396098374.6664
-76834.61724086189
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1030.8734251853148
1047.0314351621853
0.0ms
-3362812236052.513
-827396098374.6664
Compiler

Compiled 19 to 23 computations (-21.1% saved)

bsearch15.0ms (0.1%)

Memory
-34.9MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.4146618057622773
3.8770764720711446
0.0ms
-39867521256350966000.0
-830879839989801200.0
Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify54.0ms (0.4%)

Memory
24.5MiB live, 62.9MiB allocated
Algorithm
egg-herbie
Rules
240×unsub-neg-binary64--.f64-neg.f64-+.f64
58×neg-mul-1-binary64-*.f64-neg.f64
56×+-commutative-binary64-+.f64
40×distribute-lft-neg-in-binary64-*.f64-neg.f64
40×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381228
11731228
21951228
32091228
42321228
52471228
62721228
73521228
84871228
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
(if (<=.f64 t #s(literal 2206763817411543/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 2206763817411543/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -500000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 1040 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -2000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 1040 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -20000000000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (+.f64 (log.f64 y) (log.f64 z))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)) t))
(if (<=.f64 t #s(literal 2206763817411543/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 2206763817411543/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(if (<=.f64 t #s(literal 2206763817411543/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))
(if (<=.f64 t #s(literal 2206763817411543/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) (log.f64 y)))) (+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t)) #s(literal -2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (log.f64 t) a)) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t)) #s(literal 2000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) t) (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z))) (log.f64 y)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 (log.f64 t) a)) (log.f64 y)) t))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (log.f64 t) a)) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal 710 binary64)) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 (log.f64 t) a)) (log.f64 y)) t))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 (*.f64 z y))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (log.f64 t) a)) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal 710 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 (log.f64 t) a)) (log.f64 y)) t))))
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 710 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal -800 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (log.f64 t) a)) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal 710 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 (log.f64 t) a)) (log.f64 y)) t))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -500000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 1040 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t)) #s(literal -500000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (log.f64 t) a)) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t)) #s(literal 1040 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 #s(approx (- a 1/2) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 (log.f64 t) a)) (log.f64 y)) t))))
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -2000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 a (log.f64 t))) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 1040 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 (log.f64 y) #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 a (log.f64 t)))) t))))
(if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t)) #s(literal -2000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (* (- a 1/2) (log t)) (+ (* (+ (* (/ (/ x y) y) -1/2) (/ 1 y)) x) (log y))) (*.f64 (log.f64 t) a)) (-.f64 t (log.f64 z)))) (if (<=.f64 (+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t)) #s(literal 1040 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (- (+ (* (- a 1/2) (log t)) (log (* z y))) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (*.f64 z y))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (+.f64 #s(approx (+ (* (- a 1/2) (log t)) (log z)) (*.f64 (log.f64 t) a)) (log.f64 y)) t))))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 #s(approx (- (+ (log (+ x y)) (log z)) t) (neg.f64 t)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 a (log.f64 t))) t))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 #s(approx (+ (log y) (+ (* (- a 1/2) (log t)) (log z))) (*.f64 (log.f64 t) a)) t))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -20000000000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 a (log.f64 t)))))
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -20000000000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))))
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))

soundness1.5s (10.2%)

Memory
27.7MiB live, 1 096.6MiB allocated
Rules
16 372×lower-fma.f64
16 372×lower-fma.f32
7 350×lower-+.f64
7 350×lower-+.f32
6 948×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055313
092295
1420288
23928288
09578280
0100922406
1321321716
0811420678
03823187
111013021
235062976
083122824
01544
02441
110241
283741
0828040
0163921639
1529020669
0828519913
070509
0114491
1554393
25122393
08187383
0101520180
1318919543
0823918599
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 729 to 452 computations (38% saved)

preprocess130.0ms (0.9%)

Memory
-43.0MiB live, 250.2MiB allocated
Remove

(sort x y)

Compiler

Compiled 1 312 to 452 computations (65.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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