Logistic regression 2

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze70.0ms (0.9%)

Memory
-2.1MiB live, 113.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.5s (19.2%)

Memory
18.0MiB live, 1 575.2MiB allocated
Samples
795.0ms8 256×0valid
239.0ms2 660×1exit
Precisions
Click to see histograms. Total time spent on operations: 738.0ms
ival-sub: 353.0ms (47.9% of total)
ival-log1p: 136.0ms (18.4% of total)
ival-exp: 106.0ms (14.4% of total)
ival-mult: 91.0ms (12.3% of total)
adjust: 41.0ms (5.6% of total)
ival-true: 8.0ms (1.1% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain91.0ms (1.2%)

Memory
14.4MiB live, 214.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
192(-3.023455928323699e+182 2.2016271786637606e-38)0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 x))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))sensitivity930
Confusion
Predicted +Predicted -
+00
-93163
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-930163
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0163
193
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
35.0ms512×0valid
Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log1p: 6.0ms (30.3% of total)
ival-mult: 5.0ms (25.3% of total)
ival-exp: 4.0ms (20.2% of total)
ival-sub: 2.0ms (10.1% of total)
ival-add: 2.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess28.0ms (0.4%)

Memory
4.3MiB live, 43.6MiB allocated
Algorithm
1×egg-herbie
Rules
148×lower-fma.f64
148×lower-fma.f32
108×lower-*.f32
106×lower-*.f64
78×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251
15849
211349
322749
431149
542949
648349
751549
851849
089
0139
1229
2339
3459
4609
5849
61239
71609
82059
92319
102559
112649
02647
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify10.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff0
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
cost-diff192
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Rules
148×lower-fma.f64
148×lower-fma.f32
108×lower-*.f32
106×lower-*.f64
52×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
12226
23326
34526
46026
58426
612326
716026
820526
923126
1025526
1126426
026422
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
(*.f64 y x)
y

localize31.0ms (0.4%)

Memory
-6.7MiB live, 33.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 x)
accuracy0.00390625
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy0.0078125
(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy0.2540911449205252
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Samples
23.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 2.0ms (22.7% of total)
ival-log1p: 2.0ms (22.7% of total)
ival-mult: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series81.0ms (1.1%)

Memory
-3.9MiB live, 109.1MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* 1/2 x)) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- 1/2 y))) (taylor 0 x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (taylor 0 x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) (taylor 0 x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) (patch (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
28.0ms
x
@inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
23.0ms
x
@-inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
21.0ms
y
@inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
6.0ms
y
@0
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms
y
@-inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))

simplify123.0ms (1.6%)

Memory
21.7MiB live, 140.1MiB allocated
Algorithm
1×egg-herbie
Rules
11 474×lower-fma.f64
11 474×lower-fma.f32
2 474×lower-*.f64
2 474×lower-*.f32
1 772×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067385
1180370
2389370
31351370
44010370
56711370
08052300
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(exp x)
(exp x)
(exp x)
(exp x)
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(exp x)
(exp x)
(exp x)
(exp x)
Outputs
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite201.0ms (2.6%)

Memory
-17.0MiB live, 185.8MiB allocated
Rules
4 436×lower-/.f64
4 436×lower-/.f32
3 924×lower-*.f32
3 922×lower-*.f64
3 690×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01320
14720
231120
3271820
0905116
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 359
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
Outputs
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))))
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (log1p.f64 (exp.f64 (+.f64 x x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (log1p.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (+.f64 x x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)))))
(-.f64 (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))) (log1p.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 #s(literal 3 binary64) x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (neg.f64 (exp.f64 x))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) x)))) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) x)))) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)

eval68.0ms (0.9%)

Memory
-22.8MiB live, 98.0MiB allocated
Compiler

Compiled 15 043 to 1 437 computations (90.4% saved)

prune52.0ms (0.7%)

Memory
19.4MiB live, 104.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4127419
Fresh000
Picked101
Done000
Total4137420
Accuracy
100.0%
Counts
420 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
▶90.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
72.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
76.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶81.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
▶47.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 154 to 104 computations (32.5% saved)

simplify28.0ms (0.4%)

Memory
-14.6MiB live, 23.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff0
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff0
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
cost-diff192
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
Rules
692×lower-fma.f32
690×lower-fma.f64
288×lower-*.f32
284×lower-*.f64
188×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028148
043136
172136
2103136
3156136
4252136
5371136
6604136
7711136
8765136
9779136
0779126
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(log1p.f64 (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
(*.f64 x y)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize143.0ms (1.9%)

Memory
3.8MiB live, 119.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0
(log.f64 #s(literal 2 binary64))
accuracy0.00390625
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy12.079471904917492
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
accuracy0
(*.f64 x y)
accuracy0.00390625
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy0.2540911449205252
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy19.237388280858966
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
accuracy0
(log.f64 #s(literal 2 binary64))
accuracy33.64887898830368
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy28.958073125622946
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
accuracy0.0078125
(+.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
accuracy0.2540911449205252
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
Samples
54.0ms78×2valid
26.0ms163×0valid
6.0ms15×1valid
Compiler

Compiled 129 to 23 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-log: 30.0ms (45.7% of total)
adjust: 8.0ms (12.2% of total)
ival-mult: 6.0ms (9.1% of total)
ival-add: 5.0ms (7.6% of total)
ival-div: 5.0ms (7.6% of total)
ival-sub: 5.0ms (7.6% of total)
ival-exp: 2.0ms (3% of total)
ival-log1p: 2.0ms (3% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.8%)

Memory
26.7MiB live, 62.6MiB allocated
Counts
17 → 288
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) (patch (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) (patch (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) (patch (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) (patch (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) (patch (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) (patch (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp x)) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((/ 1 (/ 1 (+ (exp x) 1))) (log (/ 1 (/ 1 (+ (exp x) 1)))) (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (/ 1 (+ (exp x) 1)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (+ (exp x) 1))
8.0ms
x
@-inf
((/ 1 (/ 1 (+ (exp x) 1))) (log (/ 1 (/ 1 (+ (exp x) 1)))) (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (/ 1 (+ (exp x) 1)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (+ (exp x) 1))
5.0ms
y
@0
((/ 1 (/ 1 (+ (exp x) 1))) (log (/ 1 (/ 1 (+ (exp x) 1)))) (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (/ 1 (+ (exp x) 1)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (+ (exp x) 1))
3.0ms
y
@inf
((/ 1 (/ 1 (+ (exp x) 1))) (log (/ 1 (/ 1 (+ (exp x) 1)))) (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (/ 1 (+ (exp x) 1)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (+ (exp x) 1))
3.0ms
y
@-inf
((/ 1 (/ 1 (+ (exp x) 1))) (log (/ 1 (/ 1 (+ (exp x) 1)))) (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (/ 1 (+ (exp x) 1)) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (+ (exp x) 1))

simplify127.0ms (1.7%)

Memory
-0.5MiB live, 123.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 298×lower-fma.f64
8 298×lower-fma.f32
3 184×lower-*.f64
3 184×lower-*.f32
1 762×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111922
13111778
27581778
329461778
475401778
081431504
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(log (+ 1 (exp x)))
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(log (+ 1 (exp x)))
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(log (+ 1 (exp x)))
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(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* x y)
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(log (+ 1 (exp x)))
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(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
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1/2
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(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
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(* x y)
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(* -1 (* x y))
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(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
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(* -1 y)
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(* -1 (* x y))
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(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
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(* -1 (* x y))
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(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* x y)
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(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
1/2
(+ 1/2 (* -1/4 x))
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(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
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(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
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(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
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(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
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(* -1 (* x y))
(* -1 (* x y))
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(* x (- (/ (log (+ 1 (exp x))) x) y))
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(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
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(* x y)
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(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(/ 1 (+ 1 (exp x)))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
Outputs
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/48 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/48 (* -1/480 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/ 1 (+ 1 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))

rewrite199.0ms (2.6%)

Memory
-1.3MiB live, 224.9MiB allocated
Rules
7 552×lower-fma.f32
7 550×lower-fma.f64
5 100×lower-*.f32
5 096×lower-*.f64
3 442×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028128
043116
1168116
2985116
08547105
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 666
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(+.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (expm1.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (expm1.f64 x)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
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(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (expm1.f64 x)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 x)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(+.f64 #s(literal 1 binary64) (exp.f64 x))

eval130.0ms (1.7%)

Memory
6.2MiB live, 267.6MiB allocated
Compiler

Compiled 19 239 to 2 458 computations (87.2% saved)

prune145.0ms (1.9%)

Memory
7.4MiB live, 281.4MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New96714981
Fresh202
Picked325
Done000
Total97216988
Accuracy
100.0%
Counts
988 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.3%
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
73.2%
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (*.f64 x y))
72.8%
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
76.0%
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶47.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
▶24.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
10.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
10.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
28.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
30.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
30.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
11.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
▶30.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
✓54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
✓47.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶36.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
Compiler

Compiled 434 to 258 computations (40.6% saved)

simplify112.0ms (1.5%)

Memory
35.4MiB live, 187.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 y x))
cost-diff1664
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff1344
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
cost-diff0
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff0
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
Rules
5 012×lower-fma.f32
5 008×lower-fma.f64
3 920×lower-*.f32
3 906×lower-*.f64
1 792×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039235
057225
198205
2237195
3771195
42415195
54490195
08065185
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(neg.f64 y)
y
x
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(+.f64 #s(literal 0 binary64) (*.f64 y x))
#s(literal 0 binary64)
(*.f64 y x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(neg.f64 y)
y
x
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)
(*.f64 x (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(neg.f64 y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 x (neg.f64 y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (*.f64 x (neg.f64 y)) y)
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
x
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(*.f64 x y)
#s(literal 0 binary64)
(*.f64 y x)
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize79.0ms (1%)

Memory
6.8MiB live, 161.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 #s(literal 2 binary64))
accuracy0.00390625
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy12.079471904917492
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
accuracy34.18563149630122
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy0.15625
(*.f64 (*.f64 (neg.f64 y) x) y)
accuracy4.125562141034692
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
accuracy28.958073125622946
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
accuracy31.92248660124179
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy28.958073125622946
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
accuracy32.521577127077165
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
accuracy0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy12.079471904917492
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
accuracy29.02660387854334
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy0
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
accuracy0
(neg.f64 y)
accuracy0.2540911449205252
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy19.237388280858966
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
Samples
61.0ms256×0valid
Compiler

Compiled 172 to 29 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 18.0ms (47.5% of total)
ival-add: 4.0ms (10.6% of total)
ival-div: 3.0ms (7.9% of total)
ival-log: 3.0ms (7.9% of total)
ival-log1p: 3.0ms (7.9% of total)
ival-exp: 2.0ms (5.3% of total)
ival-sub: 2.0ms (5.3% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory
1.8MiB live, 119.8MiB allocated
Counts
21 → 396
Calls
Call 1
Inputs
#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (patch (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (*.f64 y x)) (patch (+.f64 #s(literal 0 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) x) y) (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (patch (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 y)) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) y) (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) y) (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) y) (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) y) (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* (neg y) y) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (* (neg y) x) y))
9.0ms
x
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* (neg y) y) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (* (neg y) x) y))
7.0ms
y
@0
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* (neg y) y) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (* (neg y) x) y))
4.0ms
y
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* (neg y) y) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (* (neg y) x) y))
4.0ms
y
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (* (neg y) y) (/ 1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) y) (/ 1 y)) x) (* (neg y) y) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (neg y) x) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (* (neg y) x) y))

simplify167.0ms (2.2%)

Memory
-51.6MiB live, 200.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 432×lower-fma.f64
10 432×lower-fma.f32
2 770×lower-*.f64
2 770×lower-*.f32
1 630×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01272601
14012328
29772328
333662328
469552328
082222073
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
Outputs
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(-.f64 #s(literal 1/2 binary64) y)
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(-.f64 #s(literal 1/2 binary64) y)
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(-.f64 #s(literal 1/2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
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(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
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(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* (pow x 2) (pow y 2)))
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rewrite68.0ms (0.9%)

Memory
1.2MiB live, 79.1MiB allocated
Rules
1 078×lower-fma.f32
1 074×lower-fma.f64
736×lower-*.f32
722×lower-*.f64
542×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039206
057182
1204164
01388154
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
21 → 434
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(neg.f64 y)
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)
(*.f64 (neg.f64 y) y)
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 y) x) y)
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x y) x) y))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x y) x) y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x y) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 x (neg.f64 y)) x) (/.f64 (*.f64 x y) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (/.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x x) (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x (*.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 x (*.f64 x y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 (*.f64 x y) (*.f64 x y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 x x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 x (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (*.f64 x y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 x (neg.f64 y) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 x y) (/.f64 x (*.f64 x y))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 y (*.f64 (*.f64 x (neg.f64 y)) (/.f64 x (*.f64 x y))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 y (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) (neg.f64 y))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(fma.f64 y (neg.f64 x) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y (/.f64 (neg.f64 y) y))
(*.f64 y (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(neg.f64 (/.f64 (*.f64 y y) y))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) x) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (neg.f64 y)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) y #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 1/2 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y (/.f64 (neg.f64 y) y))
(*.f64 y (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(neg.f64 (/.f64 (*.f64 y y) y))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y))
(*.f64 (*.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 (*.f64 x (neg.f64 y)) x) (/.f64 (*.f64 x y) y))
(*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x))
(*.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
(*.f64 (/.f64 x x) (*.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (*.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) y))
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(*.f64 x (*.f64 (*.f64 x (neg.f64 y)) y))
(*.f64 (neg.f64 y) (*.f64 x (*.f64 x y)))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x y) x))
(*.f64 y (*.f64 (*.f64 x (neg.f64 y)) x))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (*.f64 (*.f64 x y) x) y))) (*.f64 (*.f64 (*.f64 x y) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 x y) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)))))
(neg.f64 (*.f64 (*.f64 (*.f64 x y) x) y))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (*.f64 x (neg.f64 y))) y (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 (*.f64 x (*.f64 x (neg.f64 y))) y (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x y) (*.f64 x (neg.f64 y)) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 (*.f64 x y) (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
(fma.f64 x (*.f64 (*.f64 x (neg.f64 y)) y) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 x (*.f64 (*.f64 x (neg.f64 y)) y) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (*.f64 x (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 (neg.f64 y) (*.f64 x (*.f64 x y)) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 x y) x) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 x y) x) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (*.f64 x (neg.f64 y)) x) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(fma.f64 y (*.f64 (*.f64 x (neg.f64 y)) x) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x y) x) y))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
(+.f64 (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
(+.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (*.f64 (*.f64 x (neg.f64 y)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x y)))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x (neg.f64 y)) y)
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 x (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) (*.f64 x y))
(*.f64 y (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y))
(neg.f64 (*.f64 (*.f64 x y) y))
(neg.f64 (*.f64 y (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x y)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 (*.f64 x (neg.f64 y)) y))
(fma.f64 (*.f64 x (neg.f64 y)) y (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (*.f64 x (neg.f64 y)) y (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (neg.f64 y) y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 x (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 (*.f64 x (neg.f64 y)) y))
(fma.f64 y (*.f64 x (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 y (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 x (neg.f64 y)) y))
(+.f64 (*.f64 (neg.f64 y) #s(literal 0 binary64)) (*.f64 (*.f64 x (neg.f64 y)) y))
(+.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))

eval108.0ms (1.4%)

Memory
5.3MiB live, 159.5MiB allocated
Compiler

Compiled 11 108 to 845 computations (92.4% saved)

prune96.0ms (1.3%)

Memory
-28.4MiB live, 168.1MiB allocated
Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New87919898
Fresh369
Picked145
Done022
Total88331914
Accuracy
100.0%
Counts
914 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓90.3%
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
73.2%
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (*.f64 x y))
72.8%
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶76.0%
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
✓47.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
30.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
37.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
14.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
19.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
▶16.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
19.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
24.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
27.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
30.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
37.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
10.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
▶20.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
▶54.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
30.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
54.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
27.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
30.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
37.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
✓30.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
44.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
37.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
✓54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
27.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
✓47.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
✓36.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶3.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
Compiler

Compiled 880 to 487 computations (44.7% saved)

simplify99.0ms (1.3%)

Memory
24.0MiB live, 103.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 x y) x) y)
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
cost-diff2944
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
cost-diff0
#s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y))
cost-diff0
(/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 y x))
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Rules
7 522×lower-fma.f32
7 518×lower-fma.f64
2 834×lower-*.f32
2 810×lower-*.f64
1 458×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056349
082299
1159293
2478292
32196292
44530292
08068280
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
(/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
#s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(+.f64 #s(literal 0 binary64) (*.f64 y x))
#s(literal 0 binary64)
(*.f64 y x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
(*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))
(*.f64 (*.f64 (*.f64 x y) x) y)
(*.f64 (*.f64 x y) x)
(*.f64 x y)
x
y
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)
(*.f64 (*.f64 x (neg.f64 y)) y)
(*.f64 x (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
(*.f64 (neg.f64 y) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)) (*.f64 y x)))
(/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)) (*.f64 y x))
#s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y))
#s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(*.f64 y x)
#s(literal 0 binary64)
(*.f64 y x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
(*.f64 (neg.f64 y) x)
(*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))
(*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x y) x) y)
(*.f64 (*.f64 (*.f64 y x) x) y)
(*.f64 (*.f64 x y) x)
(*.f64 (*.f64 y x) x)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
(*.f64 (*.f64 x (neg.f64 y)) y)
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
(neg.f64 y)

localize168.0ms (2.2%)

Memory
-7.2MiB live, 193.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.125562141034692
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)
accuracy4.879266667671731
(*.f64 (*.f64 (*.f64 x y) x) y)
accuracy28.958073125622946
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
accuracy42.06308791627861
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
accuracy4.879266667671731
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
accuracy7.827945571657484
(*.f64 (*.f64 (neg.f64 x) x) y)
accuracy28.958073125622946
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
accuracy31.92248660124179
(/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
accuracy0
(neg.f64 y)
accuracy0.5126926940384892
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
accuracy0.6685061516009696
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
accuracy28.958073125622946
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
accuracy0.0078125
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy12.079471904917492
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
accuracy29.02660387854334
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy34.18563149630122
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0
(log.f64 #s(literal 2 binary64))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy15.332655588224027
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Samples
90.0ms232×0valid
15.0ms24×1valid
Compiler

Compiled 242 to 46 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 44.0ms (54.3% of total)
ival-div: 9.0ms (11.1% of total)
ival-log: 9.0ms (11.1% of total)
ival-add: 6.0ms (7.4% of total)
ival-sub: 4.0ms (4.9% of total)
adjust: 2.0ms (2.5% of total)
ival-exp: 2.0ms (2.5% of total)
ival-log1p: 2.0ms (2.5% of total)
ival-neg: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
11.9MiB live, 90.6MiB allocated
Counts
25 → 540
Calls
Call 1
Inputs
#s(alt #s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) y) (patch (-.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (patch #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (patch #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (*.f64 y x)) (patch (+.f64 #s(literal 0 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))) (patch (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (patch #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (patch (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x y) x) y) (patch (*.f64 (*.f64 (*.f64 x y) x) y) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) y) (patch (*.f64 (*.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) y) (patch (*.f64 (*.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) y) (patch (*.f64 (*.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) y) (patch (*.f64 (*.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@inf
((- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ 1 (/ 1 (* x (neg y)))) (/ 1 (* x (neg y))) (- (log (+ 1 (exp x))) (* x y)) (* x (neg y)) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (* (* (* (neg y) x) y) x) (/ (* (* (* (* x y) x) y) (* x y)) (* (* (* x (neg y)) y) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (* x y) x) y) (* x y)) (* (* (* x y) x) y) (log 2) (neg y) (* (* (neg x) x) y) (* (* (* (neg x) x) y) y) (* (* (* x (neg y)) y) x))
6.0ms
y
@0
((- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ 1 (/ 1 (* x (neg y)))) (/ 1 (* x (neg y))) (- (log (+ 1 (exp x))) (* x y)) (* x (neg y)) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (* (* (* (neg y) x) y) x) (/ (* (* (* (* x y) x) y) (* x y)) (* (* (* x (neg y)) y) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (* x y) x) y) (* x y)) (* (* (* x y) x) y) (log 2) (neg y) (* (* (neg x) x) y) (* (* (* (neg x) x) y) y) (* (* (* x (neg y)) y) x))
5.0ms
x
@inf
((- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ 1 (/ 1 (* x (neg y)))) (/ 1 (* x (neg y))) (- (log (+ 1 (exp x))) (* x y)) (* x (neg y)) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (* (* (* (neg y) x) y) x) (/ (* (* (* (* x y) x) y) (* x y)) (* (* (* x (neg y)) y) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (* x y) x) y) (* x y)) (* (* (* x y) x) y) (log 2) (neg y) (* (* (neg x) x) y) (* (* (* (neg x) x) y) y) (* (* (* x (neg y)) y) x))
5.0ms
y
@-inf
((- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ 1 (/ 1 (* x (neg y)))) (/ 1 (* x (neg y))) (- (log (+ 1 (exp x))) (* x y)) (* x (neg y)) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (* (* (* (neg y) x) y) x) (/ (* (* (* (* x y) x) y) (* x y)) (* (* (* x (neg y)) y) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (* x y) x) y) (* x y)) (* (* (* x y) x) y) (log 2) (neg y) (* (* (neg x) x) y) (* (* (* (neg x) x) y) y) (* (* (* x (neg y)) y) x))
5.0ms
x
@-inf
((- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (/ 1 (/ 1 (* x (neg y)))) (/ 1 (* x (neg y))) (- (log (+ 1 (exp x))) (* x y)) (* x (neg y)) (+ 0 (* y x)) (- (log (+ 1 (exp x))) (* x y)) (/ (* (* (* (neg y) x) y) x) (+ 0 (* y x))) (* (* (* (neg y) x) y) x) (/ (* (* (* (* x y) x) y) (* x y)) (* (* (* x (neg y)) y) x)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* (* x y) x) y) (* x y)) (* (* (* x y) x) y) (log 2) (neg y) (* (* (neg x) x) y) (* (* (* (neg x) x) y) y) (* (* (* x (neg y)) y) x))

simplify146.0ms (1.9%)

Memory
0.9MiB live, 192.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 866×lower-fma.f64
11 866×lower-fma.f32
3 466×lower-*.f64
3 466×lower-*.f32
2 456×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423724
14213508
211663508
348283498
083123235
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* x (- 1/2 y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
Outputs
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ 1/2 (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(* (pow x 3) (pow y 3))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)
(* (pow x 3) (pow y 3))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)
(* (pow x 3) (pow y 3))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)
(* (pow x 3) (pow y 3))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
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(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* (pow x 3) (pow y 3))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)
(* (pow x 3) (pow y 3))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)
(* (pow x 3) (pow y 3))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)
(* (pow x 3) (pow y 3))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)

rewrite307.0ms (4%)

Memory
3.3MiB live, 313.5MiB allocated
Rules
4 754×lower-fma.f32
4 750×lower-fma.f64
3 922×lower-*.f32
3 898×lower-*.f64
3 548×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056305
082255
1314230
22123230
08403218
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 489
Calls
Call 1
Inputs
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
(*.f64 x (neg.f64 y))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
(/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
#s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
(*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))
(*.f64 (*.f64 (*.f64 x y) x) y)
(log.f64 #s(literal 2 binary64))
(neg.f64 y)
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (log.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (log.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 1/2 binary64)))))))
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(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
(*.f64 (*.f64 y x) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(*.f64 (neg.f64 x) (*.f64 x (*.f64 y y)))
(*.f64 (neg.f64 x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 y x))
(*.f64 (neg.f64 y) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x (*.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 x (*.f64 (*.f64 (neg.f64 y) x) y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x))) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))) (*.f64 y x))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y x) x) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x))) (*.f64 (*.f64 (*.f64 y x) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y x) x) y)))))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x))))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))
(/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) #s(literal -1 binary64))
(/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(neg.f64 (*.f64 (*.f64 (*.f64 y x) x) y))
(fma.f64 (*.f64 x x) (*.f64 (neg.f64 y) y) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 x x) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 y x) (*.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 y x) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 y y) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 y y) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 x) (*.f64 x (*.f64 y y)) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 y x) x) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 y x) x) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (*.f64 (neg.f64 x) x) y) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 y (*.f64 (*.f64 (neg.f64 x) x) y) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (neg.f64 x) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 x (*.f64 (neg.f64 x) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 x (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y x) x) y))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y x) x) y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y x) x) y)) (*.f64 (*.f64 (*.f64 y x) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (*.f64 (*.f64 y x) x) y))
(-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x))))
(-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y x) x) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 3 binary64)) (log.f64 (*.f64 (neg.f64 y) x))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(+.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))

eval445.0ms (5.9%)

Memory
13.7MiB live, 589.5MiB allocated
Compiler

Compiled 50 778 to 3 773 computations (92.6% saved)

prune589.0ms (7.7%)

Memory
-84.2MiB live, 659.9MiB allocated
Pruning

47 alts after pruning (41 fresh and 6 done)

PrunedKeptTotal
New2 290272 317
Fresh61420
Picked415
Done156
Total2 301472 348
Accuracy
100.0%
Counts
2 348 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓90.3%
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
73.2%
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (*.f64 x y))
72.8%
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
49.2%
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
4.8%
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
✓47.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
30.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
37.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
19.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
16.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
16.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
12.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
24.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
18.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
27.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
30.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
37.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
10.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
11.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
11.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
20.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
54.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
54.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
54.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
35.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
54.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
12.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
54.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
44.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
15.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
14.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
31.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
17.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
19.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
30.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
54.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
27.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
30.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
37.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
35.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
19.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
44.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
✓54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
27.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
✓47.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
✓36.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
✓3.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
Compiler

Compiled 1 796 to 623 computations (65.3% saved)

regimes64.0ms (0.8%)

Memory
-15.4MiB live, 143.8MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
Calls

3 calls:

19.0ms
y
19.0ms
x
19.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes87.0ms (1.1%)

Memory
7.4MiB live, 124.1MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

48.0ms
x
19.0ms
y
17.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes70.0ms (0.9%)

Memory
28.9MiB live, 108.7MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x #s(literal 1/2 binary64))))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

3 calls:

30.0ms
y
20.0ms
x
16.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%2x
90.3%1y
99.0%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes63.0ms (0.8%)

Memory
-33.2MiB live, 43.8MiB allocated
Counts
63 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.3%)

Memory
32.0MiB live, 32.0MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes44.0ms (0.6%)

Memory
-31.5MiB live, 25.3MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
Calls

1 calls:

41.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.5%)

Memory
-4.6MiB live, 33.4MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Calls

1 calls:

35.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.5%)

Memory
-3.4MiB live, 34.4MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
Calls

2 calls:

19.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
15.0ms
x
Results
AccuracySegmentsBranch
98.5%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
86.1%3x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes16.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
Calls

1 calls:

13.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.4%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes56.0ms (0.7%)

Memory
16.1MiB live, 54.4MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (/ 1 (/ 1 (+ (exp x) 1)))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) y) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 x) (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 y (/.f64 x (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 (neg.f64 y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 y y #s(literal 0 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 x (neg.f64 y)) y) (/.f64 (*.f64 x y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 y x) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (*.f64 (*.f64 y x) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (* x y) x) y) (* x y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) y) y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 y x) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) x) (/.f64 y (*.f64 (*.f64 (neg.f64 y) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (-.f64 (*.f64 x y) #s(literal 0 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) x)) (*.f64 x (neg.f64 y))) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 y y) x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) x) x (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) y)) (/.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) x) (neg.f64 y)) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(approx (* (* (* (neg y) x) y) x) (*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) y) x)) (*.f64 (*.f64 (*.f64 y x) x) y)) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (/.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 x y) x) y)) (+.f64 #s(literal 0 binary64) (*.f64 y x))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
Calls

3 calls:

25.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
14.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
54.8%1x
54.8%1y
54.8%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory
-38.3MiB live, 5.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

4.0ms
y
1.0ms
x
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
3.2%1y
3.2%1x
3.2%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch13.0ms (0.2%)

Memory
19.2MiB live, 19.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-2711791353.414651
-1183700.0974874722
Samples
7.0ms128×0valid
Compiler

Compiled 230 to 155 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (50.3% of total)
ival-log1p: 1.0ms (25.2% of total)
ival-mult: 1.0ms (25.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2711791353.414651
-1183700.0974874722
Compiler

Compiled 190 to 131 computations (31.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2711791353.414651
-1183700.0974874722
Compiler

Compiled 166 to 115 computations (30.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2711791353.414651
-1183700.0974874722
Compiler

Compiled 158 to 107 computations (32.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-2711791353.414651
-1183700.0974874722
Compiler

Compiled 158 to 107 computations (32.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.6952171530974744
1.8451540482244146
0.0ms
4.005764165658448e-27
0.6916632727777352
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.6952171530974744
1.8451540482244146
0.0ms
4.005764165658448e-27
0.6916632727777352
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify8.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
14×sub-neg_binary64
12×*-commutative_binary64
6×neg-sub0_binary64
6×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066371
188371
299371
3104371
4106371
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
Outputs
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 x y))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)))
(if (<=.f64 x #s(literal -1200000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness1.4s (18.8%)

Memory
2.8MiB live, 589.2MiB allocated
Rules
11 474×lower-fma.f64
11 474×lower-fma.f32
10 432×lower-fma.f64
10 432×lower-fma.f32
8 298×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01272601
14012328
29772328
333662328
469552328
082222073
0820
01320
14720
231120
3271820
0905116
01111922
13111778
27581778
329461778
475401778
081431504
028128
043116
1168116
2985116
08547105
067385
1180370
2389370
31351370
44010370
56711370
08052300
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 401 to 172 computations (57.1% saved)

preprocess118.0ms (1.6%)

Memory
0.7MiB live, 123.4MiB allocated
Compiler

Compiled 492 to 142 computations (71.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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