Logistic regression 2

Time bar (total: 8.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze107.0ms (1.2%)

Memory
1.7MiB live, 159.7MiB 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 (16.9%)

Memory
-300.7MiB live, 2 067.1MiB allocated
Samples
528.0ms8 256×0valid
204.0ms2 661×1exit
Precisions
Click to see histograms. Total time spent on operations: 449.0ms
ival-log1p: 122.0ms (27.2% of total)
ival-mult: 115.0ms (25.6% of total)
ival-exp: 108.0ms (24% of total)
ival-sub: 52.0ms (11.6% of total)
adjust: 41.0ms (9.1% of total)
ival-true: 8.0ms (1.8% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

explain150.0ms (1.7%)

Memory
-8.7MiB live, 154.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
183(-1.0682233849189113e+265 -2.79906079814096e-221)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)))sensitivity840
Confusion
Predicted +Predicted -
+10
-83172
Precision
0.011904761904761904
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-830172
Precision?
0.011904761904761904
Recall?
1.0
Freqs
test
numberfreq
0172
184
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 67 to 28 computations (58.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log1p: 5.0ms (26.4% of total)
ival-exp: 4.0ms (21.1% of total)
ival-mult: 4.0ms (21.1% of total)
ival-sub: 2.0ms (10.6% of total)
ival-add: 2.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess32.0ms (0.4%)

Memory
9.3MiB live, 47.3MiB 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))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB 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))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y

localize29.0ms (0.3%)

Memory
-28.5MiB live, 48.5MiB 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))
accuracy0.01953125
(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy0.2691018737260696
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Samples
19.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log1p: 4.0ms (37.9% of total)
ival-exp: 2.0ms (18.9% of total)
ival-mult: 2.0ms (18.9% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory
21.9MiB live, 97.8MiB 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 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 (+ 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 (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 (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 (* -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 (* 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 (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 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 (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 (+ 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 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 (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 (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

15 calls:

TimeVariablePointExpression
32.0ms
x
@inf
(log (+ 1 (exp x)))
23.0ms
x
@-inf
(log (+ 1 (exp x)))
3.0ms
y
@0
(- (log (+ 1 (exp x))) (* x y))
0.0ms
x
@0
(log (+ 1 (exp x)))
0.0ms
x
@inf
(- (log (+ 1 (exp x))) (* x y))

simplify216.0ms (2.5%)

Memory
12.1MiB live, 201.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 474×lower-fma.f64
11 474×lower-fma.f32
2 426×lower-*.f64
2 426×lower-*.f32
1 772×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067400
1180400
2389400
31353400
44014370
56856370
08132300
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(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 (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp 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)))
(* -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 (- (* -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))) (* -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))))
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))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
Outputs
(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 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 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))
(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))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite295.0ms (3.4%)

Memory
6.4MiB live, 438.9MiB 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
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))))
(+.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(+.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 9 binary64)))) (log.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))))) (log.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (log.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 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 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.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 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 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))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) (log1p.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))
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(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))

eval49.0ms (0.6%)

Memory
19.9MiB live, 93.3MiB allocated
Compiler

Compiled 15 107 to 1 438 computations (90.5% saved)

prune72.0ms (0.8%)

Memory
-6.3MiB live, 147.5MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4109419
Fresh000
Picked101
Done000
Total4119420
Accuracy
100.0%
Counts
420 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) (*.f64 x y))
▶87.7%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
60.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) #s(literal -1 binary64)))
73.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
▶75.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
▶80.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
▶48.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
▶54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
53.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 218 to 142 computations (34.9% saved)

simplify85.0ms (1%)

Memory
-1.9MiB live, 79.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(log1p.f64 (exp.f64 x))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
cost-diff0
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff0
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
cost-diff0
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
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))
Rules
2 284×lower-fma.f32
2 278×lower-fma.f64
596×lower-*.f32
592×lower-*.f64
484×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029143
046143
171143
2104143
3192143
4315143
5527143
6912143
71392143
81916143
91999143
102029143
112029143
02029143
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.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)) (*.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 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)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
x
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
Outputs
(-.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)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (neg.f64 x)))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
x
(neg.f64 y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 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)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64)))
x
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x

localize85.0ms (1%)

Memory
-3.2MiB live, 126.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 x)
accuracy0.0078125
(log1p.f64 (exp.f64 x))
accuracy28.93489733536065
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
accuracy0
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
accuracy0
(log.f64 #s(literal 2 binary64))
accuracy0.0078125
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
accuracy15.711209562230977
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
accuracy0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0
(log.f64 #s(literal 2 binary64))
accuracy0.01171875
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
accuracy12.784845817170881
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
accuracy0
(*.f64 x (neg.f64 y))
accuracy0
(neg.f64 y)
accuracy33.19534730094436
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
accuracy0
(*.f64 x y)
accuracy0.00390625
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy0.2691018737260696
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy17.976788966313126
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
Samples
56.0ms256×0valid
Compiler

Compiled 126 to 24 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 17.0ms (40.7% of total)
ival-mult: 9.0ms (21.5% of total)
ival-exp: 4.0ms (9.6% of total)
ival-sub: 3.0ms (7.2% of total)
ival-log: 3.0ms (7.2% of total)
ival-log1p: 3.0ms (7.2% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-0.6MiB live, 37.1MiB allocated
Counts
18 → 324
Calls
Call 1
Inputs
#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)) (*.f64 x (neg.f64 y))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (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 (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (log 2) (taylor 0 x) (#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 2) (* x (- 1/2 y))) (taylor 0 x) (#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 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (taylor 0 x) (#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 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) (taylor 0 x) (#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 (* -1 (* x y)) (taylor inf x) (#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 (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#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 (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#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 (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#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 (* -1 (* x y)) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) (taylor -inf x) (#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 (+ 1 (exp x))) (taylor 0 y) (#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 (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#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 (* -1 (* x y)) (taylor inf y) (#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 (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#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 (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#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 (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#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 (* -1 (* x y)) (taylor -inf y) (#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 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#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 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#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 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#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 2) (taylor 0 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>) () ())) ())
#s(alt (+ (log 2) (* 1/2 x)) (taylor 0 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 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/8 x)) (taylor 0 y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1 y) (* 1/8 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1 y) (* 1/8 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1 y) (* 1/8 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (taylor inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (taylor inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (taylor inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (patch (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/8 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/8 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/8 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- 1/2 y))) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 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)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 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)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 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)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 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)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 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)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 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)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* 1/2 x)) (taylor 0 x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) (taylor 0 x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (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 (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (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 (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 (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

81 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+ (* x (- 1/2 y)) (log 2))
2.0ms
y
@-inf
(+ (* x (- 1/2 y)) (log 2))
1.0ms
y
@0
(+ (* x (- 1/2 y)) (log 2))
0.0ms
x
@-inf
(+ (* x (- 1/2 y)) (log 2))
0.0ms
y
@0
(+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2))

simplify236.0ms (2.7%)

Memory
34.3MiB live, 330.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 522×lower-fma.f64
12 522×lower-fma.f32
3 776×lower-*.f64
3 776×lower-*.f32
2 380×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422211
14262196
211522196
346302186
083551860
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(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))
(* 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 (- (* -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))) (* -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 (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
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))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(+ 1 (exp x))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 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))
(* 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 (- (* -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))) (* -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))))
(* -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 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 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))
(* 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 (- (* -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))) (* -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) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 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))
(* -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)))))
(+ (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 (* 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))
(* -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)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 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 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 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))
(* 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 (- (* -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))) (* -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) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 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 (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))))
(+ (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 (* 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 (* 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)))))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* 1/8 x)) y)
(* 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)))
(* 1/8 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)))
(+ 1/2 (* 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 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)
(* -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)))))
1/2
(+ 1/2 (* 1/8 x))
(+ 1/2 (* 1/8 x))
(+ 1/2 (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* 1/8 x)
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 x))))
(* x (+ 1/8 (* 1/2 (/ 1 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)))
(* -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 (- (* -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))) (* -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 (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 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))
(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))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+ 1 (exp x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
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(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 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))
(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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite369.0ms (4.2%)

Memory
-17.8MiB live, 391.9MiB allocated
Rules
5 174×lower-*.f32
5 170×lower-*.f64
4 714×lower-/.f64
4 714×lower-/.f32
3 086×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029126
046126
1161126
21153126
08400126
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 354
Calls
Call 1
Inputs
(-.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)) (*.f64 x (neg.f64 y)))
(*.f64 x (neg.f64 y))
(neg.f64 y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
Outputs
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x 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 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))))
(fma.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))))
(fma.f64 (neg.f64 y) x (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 (neg.f64 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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y))))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y))) (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (neg.f64 (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (*.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (pow.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (fma.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y))) (pow.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/16 binary64))))))
(*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/512 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (*.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))))
(/.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))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (exp.f64 x))) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x)))))))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))

eval87.0ms (1%)

Memory
-17.4MiB live, 183.2MiB allocated
Compiler

Compiled 14 371 to 1 320 computations (90.8% saved)

prune84.0ms (1%)

Memory
1.1MiB live, 162.4MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New66514679
Fresh404
Picked235
Done000
Total67117688
Accuracy
100.0%
Counts
688 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.7%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
56.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
54.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
15.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
▶99.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
▶9.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
▶23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
✓48.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
▶52.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
53.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
24.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
5.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
▶29.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
58.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 406 to 232 computations (42.9% saved)

simplify144.0ms (1.6%)

Memory
-19.4MiB live, 168.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))
cost-diff192
(+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))
cost-diff320
(*.f64 #s(literal 0 binary64) y)
cost-diff1664
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff192
(+.f64 #s(literal 0 binary64) y)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
cost-diff0
(/.f64 (log1p.f64 (exp.f64 x)) y)
cost-diff0
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
cost-diff704
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
Rules
4 050×lower-fma.f32
4 048×lower-fma.f64
2 776×lower-*.f32
2 766×lower-*.f64
1 556×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043273
065214
1127214
2240190
3500190
41201188
53521188
65493188
08174186
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
y
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
y
(+.f64 #s(literal 0 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))
#s(literal 0 binary64)
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))
(fma.f64 y y (*.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 0 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
y
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (neg.f64 x)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 y (neg.f64 x))
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(neg.f64 (*.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
y
(+.f64 #s(literal 0 binary64) y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (neg.f64 x)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(*.f64 y (neg.f64 x))
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))
(neg.f64 (*.f64 y (*.f64 y y)))
#s(literal 0 binary64)
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))
(*.f64 y y)
(fma.f64 y y (*.f64 #s(literal 0 binary64) y))
(*.f64 y y)
(*.f64 #s(literal 0 binary64) y)
#s(literal 0 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)

localize117.0ms (1.3%)

Memory
-0.8MiB live, 113.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
accuracy21.113555703288434
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
accuracy28.93489733536065
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
accuracy0
(*.f64 #s(literal 0 binary64) y)
accuracy0.0859375
(*.f64 y (*.f64 y y))
accuracy33.19534730094436
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
accuracy42.77530241826973
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
accuracy32.18565835792625
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
accuracy33.19534730094436
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
accuracy0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0.0078125
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
accuracy12.784845817170881
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
accuracy33.224282517754624
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
accuracy0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
accuracy0.0078125
(log1p.f64 (exp.f64 x))
accuracy0.12109375
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
accuracy0.125
(/.f64 (log1p.f64 (exp.f64 x)) y)
Samples
54.0ms256×0valid
Compiler

Compiled 221 to 32 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 12.0ms (31.9% of total)
ival-sub: 6.0ms (15.9% of total)
ival-div: 5.0ms (13.3% of total)
ival-add: 5.0ms (13.3% of total)
ival-exp: 4.0ms (10.6% of total)
ival-log: 3.0ms (8% of total)
ival-log1p: 3.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory
4.6MiB live, 81.7MiB allocated
Counts
25 → 432
Calls
Call 1
Inputs
#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (patch (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (exp.f64 x)) y) (patch (/.f64 (log1p.f64 (exp.f64 x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (patch #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (patch (*.f64 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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) y) (patch (*.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (patch (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) (patch (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 x)) (patch (log1p.f64 (exp.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())
Outputs
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) (taylor inf y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) (taylor inf y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) (taylor inf y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) (taylor -inf y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) (taylor -inf y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) (taylor -inf y) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) (taylor 0 x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) (taylor 0 x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) (taylor 0 x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (patch (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- 1/2 y))) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (log (+ 1 (exp x))) x) y)) (taylor inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) #<representation binary64>) () ())) ())
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#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ (log (+ 1 (exp x))) y) x)) (taylor inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))) #<representation binary64>) () ())) ())
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#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
Calls

108 calls:

TimeVariablePointExpression
31.0ms
y
@inf
(/ (log (+ 1 (exp x))) y)
10.0ms
y
@0
(/ (log (+ 1 (exp x))) y)
2.0ms
y
@0
(* y (- (/ (log (+ 1 (exp x))) y) x))
1.0ms
y
@-inf
(* y (- (/ (log (+ 1 (exp x))) y) x))
0.0ms
y
@inf
(/ (- 0 (* y y)) (+ 0 y))

simplify257.0ms (2.9%)

Memory
27.5MiB live, 257.8MiB allocated
Algorithm
1×egg-herbie
Rules
15 974×lower-fma.f64
15 974×lower-fma.f32
3 912×lower-*.f64
3 912×lower-*.f32
2 402×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01572781
14762688
212212636
344302484
084992104
Stop Event
1×iter limit
1×node limit
Counts
432 → 418
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 (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -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)))))
(log 2)
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))
(+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))
(* -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)))
(* -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 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))
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(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (/ (log (+ 1 (exp x))) 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))))
(log (+ 1 (exp x)))
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(* y (- (/ (log (+ 1 (exp x))) y) x))
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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))))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))
(* -1 x)
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(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(/ (log (+ 1 (exp x))) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(* -1 x)
(- (/ (log (+ 1 (exp x))) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(* -1 x)
(- (/ (log (+ 1 (exp x))) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(/ (log 2) y)
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
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(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
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(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
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(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
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(+ (log 2) (* 1/2 x))
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(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* -1 (* x y))
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(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -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)))))
(* x (- 1/2 y))
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(+ (* -1 (* x y)) (* 1/2 x))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
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(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 (* x y))
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(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
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(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
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y
y
y
y
y
y
y
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y
y
(* -1 (pow y 2))
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(* -1 y)
(* -1 y)
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0
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(log (+ 1 (exp x)))
1
(+ 1 x)
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(exp x)
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1
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x
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x
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(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 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 (- (* -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))) (* -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))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
Outputs
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y) x)
(+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))
(-.f64 (fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))
(+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y) (*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(* -1 x)
(neg.f64 x)
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) y)
(* -1 x)
(neg.f64 x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* -1 x)
(neg.f64 x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)
(+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(fma.f64 x (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y))
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 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))
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(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
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0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
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#s(literal 0 binary64)
(pow y 2)
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(log 2)
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(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
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(log (+ 1 (exp x)))
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(log (+ 1 (exp x)))
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1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
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(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
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(pow y 2)
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(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
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(*.f64 y (*.f64 y y))
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(*.f64 y (*.f64 y y))
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(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))

rewrite290.0ms (3.3%)

Memory
15.7MiB live, 324.1MiB allocated
Rules
4 420×lower-/.f32
4 414×lower-/.f64
4 046×lower-fma.f32
4 044×lower-fma.f64
3 064×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043231
065187
1289167
22344167
08801165
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 028
Calls
Call 1
Inputs
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/.f64 (log1p.f64 (exp.f64 x)) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(-.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(*.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(log1p.f64 (exp.f64 x))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(*.f64 y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
(*.f64 y (*.f64 y y))
Outputs
(+.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64)))
(+.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(+.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) y)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) y) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(fma.f64 y (/.f64 (log1p.f64 (exp.f64 x)) y) (*.f64 x (neg.f64 y)))
(fma.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64)))
(fma.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) y (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64)))
(fma.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(fma.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(fma.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))) (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))) (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))) (neg.f64 y)) (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))) (*.f64 y y)) (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 y)) (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (*.f64 y y)) (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))) (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) y)))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 y) (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (neg.f64 y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 y (neg.f64 y))) (*.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y (neg.f64 y))) (*.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (*.f64 y y)))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(/.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 y (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 y y))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) y) (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 y) (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 (neg.f64 y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (*.f64 y y) (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 y y) (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 y (neg.f64 y)))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64))) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y (neg.f64 y)))) (neg.f64 (*.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 y (neg.f64 y)))) y)
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) (*.f64 y (*.f64 y y)))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) y)) (neg.f64 (fma.f64 x (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) #s(literal 2 binary64)) (*.f64 x x)) y)) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64))) (*.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))) (*.f64 (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) y)) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) y)) (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) y)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y (/.f64 (log1p.f64 (exp.f64 x)) y)) (*.f64 x (neg.f64 y))))))
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(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 0 binary64))
(neg.f64 (*.f64 y (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y))) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y))) (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) y)))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (neg.f64 y) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (neg.f64 y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (neg.f64 y))) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))) (pow.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y y)) (neg.f64 y))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (*.f64 y (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) y) (*.f64 y (neg.f64 y)))
(/.f64 (pow.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y)))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y y))) y)
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))) (neg.f64 (*.f64 (neg.f64 y) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y)))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (neg.f64 y)))) (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (neg.f64 y)))) (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) y)) (*.f64 y y))
(/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (neg.f64 y)))))))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 y (*.f64 y y))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(*.f64 (*.f64 y y) y)
(*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))

eval175.0ms (2%)

Memory
8.1MiB live, 310.2MiB allocated
Compiler

Compiled 31 656 to 3 475 computations (89% saved)

prune243.0ms (2.8%)

Memory
-25.0MiB live, 393.4MiB allocated
Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New1 500291 529
Fresh369
Picked415
Done033
Total1 507391 546
Accuracy
100.0%
Counts
1 546 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.7%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
56.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
54.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
15.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
7.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
22.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
47.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
47.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
7.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
22.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
48.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))))
21.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
▶22.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
▶87.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
73.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 x (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y))) x)))
4.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
23.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
18.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
5.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
▶6.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
8.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
15.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
6.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
9.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
▶6.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
4.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
6.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
✓48.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓52.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
53.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
24.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
5.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
15.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
▶3.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
58.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 1 166 to 631 computations (45.9% saved)

simplify185.0ms (2.1%)

Memory
20.8MiB live, 170.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))
cost-diff1664
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))
cost-diff1664
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))
cost-diff0
(neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))
cost-diff0
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
cost-diff2304
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
cost-diff0
(*.f64 y (neg.f64 y))
cost-diff0
(*.f64 x (*.f64 y (neg.f64 y)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
cost-diff1344
(*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
cost-diff0
(/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)
cost-diff0
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)
cost-diff0
(*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
Rules
3 808×lower-fma.f64
3 808×lower-fma.f32
2 670×lower-*.f32
2 652×lower-*.f64
2 576×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043365
063281
1125263
2380239
31490239
42737239
54911239
08687217
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
(*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))
y
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)
(/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
(*.f64 x #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)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 y (neg.f64 y)))
x
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
x
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
(neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y y)))
y
(*.f64 y (*.f64 y y))
(*.f64 y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))
#s(literal 0 binary64)
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))
(*.f64 y (*.f64 y (*.f64 y y)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
(*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))
y
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)
(/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
(*.f64 x #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)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (neg.f64 y))
(*.f64 x (*.f64 y (neg.f64 y)))
x
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(*.f64 x (neg.f64 y))
x
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
(neg.f64 y)
(neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y y)))
y
(*.f64 y (*.f64 y y))
(*.f64 y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))
(*.f64 x (neg.f64 y))
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y (neg.f64 y)))
#s(literal 0 binary64)
(*.f64 y (*.f64 y y))
y
(*.f64 y y)
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))
(*.f64 y y)
(*.f64 y (*.f64 y (*.f64 y y)))

localize138.0ms (1.6%)

Memory
-3.1MiB live, 154.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 y (*.f64 y y))
accuracy33.19534730094436
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
accuracy42.77530241826973
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))
accuracy44.11955766576579
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))
accuracy0.0859375
(*.f64 y (*.f64 y (*.f64 y y)))
accuracy0.0859375
(*.f64 y (*.f64 y y))
accuracy33.19534730094436
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
accuracy47.81232692064233
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
accuracy0
(neg.f64 y)
accuracy8.515448729723296
(*.f64 x (*.f64 y (neg.f64 y)))
accuracy14.69287861556883
(*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
accuracy33.19534730094436
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
accuracy0.0078125
(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
accuracy12.784845817170881
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
accuracy28.638287258988935
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy33.224282517754624
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
accuracy0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
accuracy0.12109375
(*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))
accuracy0.125
(/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)
accuracy21.24947290471993
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
Samples
67.0ms256×0valid
Compiler

Compiled 261 to 34 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 21.0ms (42.2% of total)
ival-div: 8.0ms (16.1% of total)
ival-exp: 7.0ms (14.1% of total)
ival-sub: 5.0ms (10.1% of total)
ival-log: 3.0ms (6% of total)
ival-log1p: 3.0ms (6% of total)
ival-neg: 2.0ms (4% of total)
ival-add: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
4.3MiB live, 41.0MiB allocated
Counts
24 → 444
Calls
Call 1
Inputs
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))) #<representation binary64>) () ())
#s(alt (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)) (patch (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x) (patch (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) (patch (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (patch #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (patch (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 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 (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 y (neg.f64 y))) (patch (*.f64 x (*.f64 y (neg.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) (patch (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))) (patch (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (patch (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)) (patch (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (patch (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())
Outputs
#s(alt (log 2) (taylor 0 x) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (+ 1 (exp x))) (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))) (patch #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))) #<representation binary64>) () ())) ())
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#s(alt (log 2) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor inf x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp x))) (log.f64 #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 (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y y)) (patch (*.f64 y (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ())
Calls

111 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (* y (neg y)))
0.0ms
x
@inf
(* x (* y (neg y)))
0.0ms
y
@0
(* x (* y (neg y)))
0.0ms
y
@inf
(* x (* y (neg y)))
0.0ms
y
@0
(neg (* y (* y (* y y))))

simplify300.0ms (3.4%)

Memory
20.7MiB live, 330.7MiB allocated
Algorithm
1×egg-herbie
Rules
17 372×lower-fma.f64
17 372×lower-fma.f32
3 456×lower-*.f64
3 456×lower-*.f32
2 332×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01472869
14442866
211552862
341742626
083622272
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(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))
(* 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 (- (* -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))) (* -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 (+ 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 (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* -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)))))
(log 2)
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))
(+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))
(* -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)))
(* -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 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))
(* -1 x)
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(/ (log (+ 1 (exp x))) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(* -1 x)
(- (/ (log (+ 1 (exp x))) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(* -1 x)
(- (/ (log (+ 1 (exp x))) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(/ (log 2) y)
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp x))) y)
(/ (log (+ 1 (exp 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))
(* 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 (- (* -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))) (* -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) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- 1/2 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))
(* -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)))))
(+ (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 (* 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))
(* -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)))))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* x (- 1/2 y))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(+ (* -1 (* x y)) (* 1/2 x))
(* -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 (* x y))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
1/2
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 y))
(+ 1/2 (* -1 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 (* 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 (* 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 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))
(* 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 (- (* -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))) (* -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))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))
(* 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 (- (* -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))) (* -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))))
(* -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 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 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(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))
(* 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 (- (* -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))) (* -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 (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(log (+ 1 (exp x)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y) x)
(+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))
(-.f64 (fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x)
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))
(fma.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y))
(* -1 x)
(neg.f64 x)
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) y)
(/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) y)
(* -1 x)
(neg.f64 x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(* -1 x)
(neg.f64 x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(- (/ (log (+ 1 (exp x))) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)
(+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(fma.f64 x (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y))
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
(/.f64 (log1p.f64 (exp.f64 x)) y)
(/ (log (+ 1 (exp x))) y)
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(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(* -1 (pow y 3))
(neg.f64 (*.f64 y (*.f64 y y)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 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))
(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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))

rewrite259.0ms (3%)

Memory
-26.8MiB live, 385.8MiB allocated
Rules
4 444×lower-fma.f64
4 444×lower-fma.f32
3 386×lower-/.f32
3 376×lower-/.f64
3 340×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043308
063259
1230229
21700205
08628183
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 790
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
(*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))
(-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)
(/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
(*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (neg.f64 y))
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
(*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y))))
(neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
(neg.f64 y)
(*.f64 y (*.f64 y y))
(*.f64 y (*.f64 y (*.f64 y y)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
(+.f64 (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y) (*.f64 y (neg.f64 x)))
(-.f64 (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (*.f64 x y))
(-.f64 (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y) (*.f64 x y))
(fma.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) (*.f64 y (neg.f64 x)))
(fma.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y (*.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64))) (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
(/.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) y) (fma.f64 x (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) y) (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) y)) (neg.f64 (fma.f64 x (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) y)) (neg.f64 (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y) (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y) (-.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y))) (*.f64 x (*.f64 x (*.f64 y y)))) (-.f64 (*.f64 y (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y) (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y)) (*.f64 x (*.f64 x (*.f64 y y)))) (-.f64 (*.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) y) (*.f64 y (neg.f64 x))))
(*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x))
(*.f64 (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x) y)
(*.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)))))
(*.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y))))
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y)) (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y))))
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(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 y (*.f64 y y)) #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y y))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 0 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 y (neg.f64 y)))
(*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 y y) y)
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (pow.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(neg.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 y (*.f64 y (*.f64 y y)))
(*.f64 (neg.f64 y) (neg.f64 (*.f64 y (*.f64 y y))))
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y)))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))

eval185.0ms (2.1%)

Memory
28.2MiB live, 320.6MiB allocated
Compiler

Compiled 30 143 to 2 792 computations (90.7% saved)

prune297.0ms (3.4%)

Memory
-11.9MiB live, 517.4MiB allocated
Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New1 515231 538
Fresh121830
Picked235
Done044
Total1 529481 577
Accuracy
100.0%
Counts
1 577 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.7%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
56.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
54.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
15.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
22.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
47.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
47.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
22.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
48.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
31.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
8.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
21.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
22.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
48.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (neg.f64 y)))
31.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
6.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
9.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
3.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
22.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
22.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
22.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
87.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (neg.f64 x))))
✓87.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
73.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)))))
23.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
18.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
8.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
9.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
4.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
15.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
4.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
5.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
6.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
✓6.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
23.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
4.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
23.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
✓48.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
✓54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓52.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
53.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
24.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
5.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
15.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
✓3.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
58.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
Compiler

Compiled 1 886 to 670 computations (64.5% saved)

regimes74.0ms (0.8%)

Memory
-3.4MiB live, 152.4MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (neg.f64 x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 x (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 y y))))) #s(literal -1 binary64)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
Calls

3 calls:

23.0ms
x
23.0ms
y
22.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes67.0ms (0.8%)

Memory
7.5MiB live, 130.4MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (neg.f64 x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 x (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(-.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:

22.0ms
x
21.0ms
y
20.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes65.0ms (0.7%)

Memory
5.6MiB live, 120.4MiB allocated
Counts
73 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (neg.f64 x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y #s(approx (- (/ (log (+ 1 (exp x))) y) x) (fma.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 #s(approx (/ (log (+ 1 (exp x))) y) (fma.f64 x (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
Calls

3 calls:

22.0ms
y
21.0ms
x
19.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%2x
87.7%1y
98.4%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes24.0ms (0.3%)

Memory
-20.7MiB live, 38.7MiB allocated
Counts
69 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (log (+ 1 (exp x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64))) (neg.f64 x))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory
3.5MiB live, 42.0MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- (+ (* x 1/8) 1/2) y) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
7.4MiB live, 46.4MiB allocated
Counts
62 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (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 x (neg.f64 y)))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
98.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes69.0ms (0.8%)

Memory
16.9MiB live, 55.2MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
Calls

2 calls:

51.0ms
x
15.0ms
(-.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))
87.1%2x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes31.0ms (0.4%)

Memory
-17.2MiB live, 26.6MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
Calls

1 calls:

28.0ms
(-.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)

regimes34.0ms (0.4%)

Memory
-16.2MiB live, 22.5MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 #s(approx (exp x) #s(approx (+ x 1) #s(literal 1 binary64)))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
Calls

1 calls:

31.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.2%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes50.0ms (0.6%)

Memory
14.5MiB live, 90.9MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) (*.f64 x (fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (neg.f64 y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x y) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (neg.f64 y)) (*.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (*.f64 y (neg.f64 x)) y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (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)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (neg.f64 y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 y (*.f64 y y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (neg.f64 (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (*.f64 x (*.f64 y (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
Calls

3 calls:

17.0ms
x
16.0ms
y
14.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
48.1%1x
48.1%1y
48.1%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0%)

Memory
11.1MiB live, 11.1MiB 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 (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
3.5%1y
3.5%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
3.5%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch16.0ms (0.2%)

Memory
-18.9MiB live, 23.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-51.35552426884805
-0.060756980184751994
Samples
7.0ms128×0valid
Compiler

Compiled 230 to 155 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (21.5% of total)
ival-exp: 1.0ms (21.5% of total)
ival-log1p: 1.0ms (21.5% of total)
ival-mult: 1.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-3326249075.4443235
-259719.8059949368
Samples
7.0ms128×0valid
Compiler

Compiled 190 to 131 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (48.3% of total)
ival-sub: 1.0ms (24.1% of total)
ival-log1p: 1.0ms (24.1% of total)
ival-mult: 1.0ms (24.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-8.7MiB live, 29.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-51.35552426884805
-0.060756980184751994
Samples
8.0ms112×0valid
Compiler

Compiled 166 to 115 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.1% of total)
ival-exp: 1.0ms (16.4% of total)
ival-log1p: 1.0ms (16.4% 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
-3326249075.4443235
-259719.8059949368
Compiler

Compiled 158 to 107 computations (32.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7058371911570572
30733091.76573527
0.0ms
2.903962732918169e-7
0.6897867283231424
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7058371911570572
30733091.76573527
0.0ms
2.903962732918169e-7
0.6897867283231424
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.7058371911570572
30733091.76573527
0.0ms
2.903962732918169e-7
0.6897867283231424
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify56.0ms (0.6%)

Memory
-15.0MiB live, 22.5MiB allocated
Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
18×sub-neg_binary64
14×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076417
1100417
2113417
3118417
4120417
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -260000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -260000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (-.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 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (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 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (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)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (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 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -260000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -260000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -260000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)))
(if (<=.f64 x #s(literal -260000 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) (-.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 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (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 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) (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 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (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)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) (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)) (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y))) (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 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y))) (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)) (neg.f64 (*.f64 x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (neg.f64 (*.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* x (- 1/2 y)) (log 2)) (*.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))

soundness1.9s (21.5%)

Memory
21.2MiB live, 650.1MiB allocated
Rules
15 974×lower-fma.f64
15 974×lower-fma.f32
12 522×lower-fma.f64
12 522×lower-fma.f32
11 474×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067400
1180400
2389400
31353400
44014370
56856370
08132300
01572781
14762688
212212636
344302484
084992104
01422211
14262196
211522196
346302186
083551860
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 387 to 167 computations (56.8% saved)

preprocess175.0ms (2%)

Memory
-13.9MiB live, 142.6MiB allocated
Compiler

Compiled 534 to 156 computations (70.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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