Logistic regression 2

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze78.0ms (1.3%)

Memory
9.6MiB live, 88.8MiB 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)

sample1.3s (20.8%)

Memory
-5.1MiB live, 1 412.0MiB allocated
Samples
637.0ms8 256×0valid
253.0ms2 623×1exit
Precisions
Click to see histograms. Total time spent on operations: 436.0ms
ival-log1p: 144.0ms (33% of total)
ival-exp: 105.0ms (24.1% of total)
ival-mult: 82.0ms (18.8% of total)
ival-sub: 51.0ms (11.7% of total)
adjust: 43.0ms (9.9% of total)
ival-true: 8.0ms (1.8% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

explain104.0ms (1.7%)

Memory
23.1MiB live, 191.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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)
093(-3.088295741738664e+260 4.329864197989938e+118)0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-(exp.f64 x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))sensitivity930
Confusion
Predicted +Predicted -
+00
-93163
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-930163
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0163
193
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
42.0ms512×0valid
Compiler

Compiled 91 to 36 computations (60.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log1p: 5.0ms (26.5% of total)
ival-exp: 4.0ms (21.2% of total)
ival-mult: 4.0ms (21.2% 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)

preprocess167.0ms (2.7%)

Memory
-19.6MiB live, 170.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251
15249
211849
324949
491249
5759949
089
0139
1239
2439
3829
42219
515489
656329
779279
084177
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify148.0ms (2.4%)

Memory
20.9MiB live, 142.9MiB 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-diff2
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
12326
24326
38226
422126
5154826
6563226
7792726
0841722
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
(*.f64 y x)
y

localize26.0ms (0.4%)

Memory
-2.5MiB live, 34.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy0.0
(*.f64 x y)
accuracy0.0
(exp.f64 x)
accuracy0.015625
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Samples
19.0ms256×0valid
Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log1p: 3.0ms (32.8% of total)
ival-exp: 2.0ms (21.9% of total)
ival-mult: 2.0ms (21.9% of total)
ival-sub: 1.0ms (10.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (1%)

Memory
-2.5MiB live, 69.8MiB allocated
Counts
5 → 25
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)
(*.f64 x y)
Outputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
Calls

6 calls:

TimeVariablePointExpression
29.0ms
x
@inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
23.0ms
x
@-inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
3.0ms
y
@0
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
1.0ms
y
@-inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
1.0ms
y
@inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))

simplify141.0ms (2.3%)

Memory
2.5MiB live, 159.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067197
1212197
2648197
32113197
44330187
57532187
08555153
Stop Event
1×iter limit
1×node limit
Counts
25 → 25
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 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 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 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))

rewrite194.0ms (3.2%)

Memory
13.1MiB live, 139.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
01323
14923
233523
3339123
0837519
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 295
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)
(*.f64 x y)
Outputs
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (neg.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))))
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(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 y y)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 y y)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 y (*.f64 (neg.f64 x) y))))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x))))
(log.f64 (pow.f64 (exp.f64 x) y))

eval57.0ms (0.9%)

Memory
-2.7MiB live, 35.7MiB allocated
Compiler

Compiled 7 258 to 1 299 computations (82.1% saved)

prune39.0ms (0.6%)

Memory
-8.9MiB live, 37.3MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3097316
Fresh000
Picked101
Done000
Total3107317
Accuracy
100.0%
Counts
317 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
63.0%
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
▶86.9%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
71.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶75.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶80.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶55.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Compiler

Compiled 218 to 172 computations (21.1% saved)

simplify210.0ms (3.4%)

Memory
-3.7MiB live, 151.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff0
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff0
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
cost-diff0
(exp.f64 x)
cost-diff0
(log1p.f64 (exp.f64 x))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029141
047141
171141
2121141
3227141
4472141
51906141
66082141
08180141
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(neg.f64 y)
y
x
(log1p.f64 (exp.f64 x))
(exp.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(neg.f64 y)
y
x
(log1p.f64 (exp.f64 x))
(exp.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize79.0ms (1.3%)

Memory
17.3MiB live, 53.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy15.880726205901144
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy0.0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.00390625
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy12.687334759135634
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
accuracy0.0
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy0.0
(*.f64 x y)
accuracy0.015625
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy20.028293259792502
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy28.2657533109688
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
accuracy0.0
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy0.0
(neg.f64 y)
accuracy0.0
(exp.f64 x)
accuracy0.0078125
(log1p.f64 (exp.f64 x))
Samples
63.0ms256×0valid
Compiler

Compiled 275 to 55 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (33.9% of total)
ival-add: 5.0ms (18.8% of total)
ival-log: 3.0ms (11.3% of total)
ival-exp: 2.0ms (7.5% of total)
ival-sub: 2.0ms (7.5% of total)
ival-log1p: 2.0ms (7.5% of total)
ival-neg: 2.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (1.1%)

Memory
12.2MiB live, 50.4MiB allocated
Counts
18 → 60
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(neg.f64 y)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
Outputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 x)
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) 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)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
Calls

6 calls:

TimeVariablePointExpression
42.0ms
x
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)))
9.0ms
x
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)))
4.0ms
x
@0
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)))
4.0ms
y
@0
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)))
3.0ms
y
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)))

simplify137.0ms (2.2%)

Memory
-12.6MiB live, 110.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159551
1555521
21892515
36786515
08376452
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(* -1 x)
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) 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)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(* x y)
(*.f64 x y)
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) x)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ 1/2 (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) y y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) y (neg.f64 y))

rewrite267.0ms (4.4%)

Memory
-9.7MiB live, 219.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029120
047120
1165120
21180120
08183120
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 270
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(neg.f64 y)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 x)) y))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 y)))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 y)) x) (*.f64 (neg.f64 (neg.f64 y)) x))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x)))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
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(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) x))
(-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))

eval47.0ms (0.8%)

Memory
-9.9MiB live, 76.4MiB allocated
Compiler

Compiled 14 044 to 1 414 computations (89.9% saved)

prune14.0ms (0.2%)

Memory
-2.9MiB live, 36.2MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New3318339
Fresh112
Picked235
Done000
Total33412346
Accuracy
100.0%
Counts
346 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓86.9%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶71.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
49.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶46.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
▶99.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
✓55.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶37.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶22.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
44.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
7.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
45.8%
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 478 to 379 computations (20.7% saved)

simplify120.0ms (2%)

Memory
19.3MiB live, 138.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x))
cost-diff0
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
cost-diff0
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
cost-diff0
(/.f64 (log1p.f64 (exp.f64 x)) x)
cost-diff0
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
cost-diff0
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046286
070286
1112286
2232286
3565286
41418286
54146286
67944286
08007280
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
(-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x))
#s(literal 1/8 binary64)
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
(+.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
x
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) x) x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) x) x))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) x) x)
(-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x))
#s(literal 1/8 binary64)
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
(+.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
x
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize116.0ms (1.9%)

Memory
-12.6MiB live, 147.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
accuracy0.04296875
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy0.2910272448420753
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy18.4051258552692
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.00390625
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy12.687334759135634
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
accuracy31.84723812516147
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy0.00390625
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
accuracy15.880726205901144
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
accuracy18.820651240352902
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
accuracy28.200396583411766
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x)))
accuracy0.0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy12.687334759135634
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
accuracy28.36400415780074
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy0.0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
accuracy0.0078125
(log1p.f64 (exp.f64 x))
accuracy0.11328125
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
accuracy0.13671875
(/.f64 (log1p.f64 (exp.f64 x)) x)
Samples
88.0ms256×0valid
Compiler

Compiled 511 to 84 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 18.0ms (31.5% of total)
ival-mult: 15.0ms (26.2% of total)
ival-add: 7.0ms (12.2% of total)
ival-sub: 4.0ms (7% of total)
const: 4.0ms (7% of total)
ival-log: 3.0ms (5.2% of total)
ival-log1p: 3.0ms (5.2% of total)
ival-exp: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series107.0ms (1.7%)

Memory
23.9MiB live, 98.1MiB allocated
Counts
22 → 97
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
(-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(log1p.f64 (exp.f64 x))
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
Outputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)
(/ (+ (log 2) (* 1/2 x)) x)
(/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x)
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 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)))))))
(/ (- y 1/2) x)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* -1 y)
(- (/ (log (+ 1 (exp x))) x) y)
(/ (log (+ 1 (exp x))) x)
(* x (- (+ 1/2 (/ (log 2) 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)))
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(log (+ 1 (exp x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(+ 1/8 (* -1 (/ (- y 1/2) x)))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (* -1 y) (/ (log (+ 1 (exp x))) x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(/ -1/2 x)
(- (/ y x) (* 1/2 (/ 1 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(/ y x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (log (+ 1 (exp x))) (/ (+ -1/2 y) x))
41.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (log (+ 1 (exp x))) (/ (+ -1/2 y) x))
5.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (log (+ 1 (exp x))) (/ (+ -1/2 y) x))
4.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (log (+ 1 (exp x))) (/ (+ -1/2 y) x))
4.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (log (+ 1 (exp x))) (/ (+ -1/2 y) x))

simplify207.0ms (3.4%)

Memory
-45.1MiB live, 135.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391056
17911034
228171014
08555926
Stop Event
1×iter limit
1×node limit
Counts
97 → 97
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)))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)
(/ (+ (log 2) (* 1/2 x)) x)
(/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x)
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 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)))))))
(/ (- y 1/2) x)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* -1 y)
(- (/ (log (+ 1 (exp x))) x) y)
(/ (log (+ 1 (exp x))) x)
(* x (- (+ 1/2 (/ (log 2) 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)))
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(log (+ 1 (exp x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(+ 1/8 (* -1 (/ (- y 1/2) x)))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (* -1 y) (/ (log (+ 1 (exp x))) x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(/ -1/2 x)
(- (/ y x) (* 1/2 (/ 1 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(/ y x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(/ (log 2) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) x)
(/ (+ (log 2) (* 1/2 x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) x)
(/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) x)
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) x)
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(/ (- y 1/2) x)
(/.f64 (-.f64 y #s(literal 1/2 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 y)
(neg.f64 y)
(- (/ (log (+ 1 (exp x))) x) y)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/ (log (+ 1 (exp x))) x)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x))
(* -1/192 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1/192 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1/192 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/192 binary64))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
(+ 1/8 (* -1 (/ (- y 1/2) x)))
(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) (*.f64 x x))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (* -1 y) (/ (log (+ 1 (exp x))) x))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (neg.f64 x) (-.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x)
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x (*.f64 (neg.f64 x) y))
(+ 1/8 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (/ y x) (* 1/2 (/ 1 x)))
(/.f64 (-.f64 y #s(literal 1/2 binary64)) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (*.f64 x x) (neg.f64 x)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)
(/ y x)
(/.f64 y x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) y (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) y y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (*.f64 x x) (neg.f64 x)) y)
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) y) y (/.f64 y x)))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) y (neg.f64 y))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))

rewrite278.0ms (4.5%)

Memory
15.0MiB live, 252.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046252
070252
1264252
21946252
08524246
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 279
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
(-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(log1p.f64 (exp.f64 x))
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y y)) x)) (neg.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) #s(literal 2 binary64)) (*.f64 y y)) x) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
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(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x))))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x)) (/.f64 (*.f64 y x) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)))
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) x))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x)))
(+.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 y x))

eval85.0ms (1.4%)

Memory
-9.9MiB live, 109.5MiB allocated
Compiler

Compiled 17 141 to 1 857 computations (89.2% saved)

prune22.0ms (0.4%)

Memory
21.8MiB live, 60.7MiB allocated
Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New36014374
Fresh134
Picked325
Done033
Total36422386
Accuracy
100.0%
Counts
386 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓86.9%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
50.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶49.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓46.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓99.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
✓55.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
45.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
20.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
▶3.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
37.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
▶71.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
9.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))))
17.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
22.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
22.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
▶7.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
44.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
7.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
▶22.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
35.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
32.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
Compiler

Compiled 1 274 to 937 computations (26.5% saved)

simplify143.0ms (2.3%)

Memory
9.5MiB live, 167.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))
cost-diff0
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
cost-diff1
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
cost-diff0
(-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
cost-diff0
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
cost-diff0
(-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)
cost-diff0
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
cost-diff0
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061525
084523
1138523
2305518
3808518
42144518
56675518
08112500
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x)))
#s(literal 1/8 binary64)
#s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x)))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
x
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x)))
#s(literal 1/8 binary64)
#s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64))) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64))) (*.f64 x x)))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64))) (*.f64 x x))
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
x
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize137.0ms (2.2%)

Memory
-19.0MiB live, 178.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
accuracy15.880726205901144
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
accuracy31.84723812516147
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy0.01953125
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
accuracy15.880726205901144
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
accuracy18.820651240352902
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))
accuracy28.200396583411766
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x)))
accuracy15.880726205901144
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
accuracy18.820651240352902
(*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
accuracy28.200396583411766
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
accuracy31.677158647090234
#s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))
accuracy0.0078125
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy12.687334759135634
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
accuracy28.36400415780074
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy31.84723812516147
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy0.2910272448420753
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy1.0585791405865137
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)
accuracy1.5164182992354824
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
accuracy18.4051258552692
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
Samples
106.0ms256×0valid
Compiler

Compiled 847 to 106 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
const: 29.0ms (34.1% of total)
ival-mult: 17.0ms (20% of total)
ival-add: 13.0ms (15.3% of total)
ival-sub: 11.0ms (12.9% of total)
ival-div: 7.0ms (8.2% of total)
ival-log: 3.0ms (3.5% of total)
ival-log1p: 3.0ms (3.5% of total)
ival-exp: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series82.0ms (1.3%)

Memory
10.9MiB live, 132.9MiB allocated
Counts
23 → 106
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x)))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
#s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))
(log.f64 #s(literal 2 binary64))
Outputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+ (log 2) (* 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)))))
(/ (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))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) 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))
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(/ (- y 1/2) x)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3))) 1/192))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (+ (/ (log 2) (pow x 4)) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3)))) 1/192))
(* -1/192 (/ (pow x 4) y))
(* (pow x 4) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* x (- (+ 1/2 (/ (log 2) 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)))
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (* 1/192 (/ 1 y))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (* y (- 1 (* 1/2 (/ 1 y)))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y))))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (* -1 (/ (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(+ 1/8 (* -1 (/ (- y 1/2) x)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ (+ 1/2 (* 1/8 x)) x)
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(/ -1/2 x)
(- (/ y x) (* 1/2 (/ 1 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* -1 x)
(- (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)) x)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(/ y x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
Calls

6 calls:

TimeVariablePointExpression
24.0ms
x
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (* (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) y) (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (/ (+ (* 1/8 x) (- 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) (+ (* (* x x) -1/192) 1/8) (/ (+ -1/2 y) x) (log 2))
19.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (* (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) y) (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (/ (+ (* 1/8 x) (- 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) (+ (* (* x x) -1/192) 1/8) (/ (+ -1/2 y) x) (log 2))
14.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (* (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) y) (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (/ (+ (* 1/8 x) (- 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) (+ (* (* x x) -1/192) 1/8) (/ (+ -1/2 y) x) (log 2))
13.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (* (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) y) (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (/ (+ (* 1/8 x) (- 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) (+ (* (* x x) -1/192) 1/8) (/ (+ -1/2 y) x) (log 2))
5.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (* (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) y) (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) (/ (+ (* 1/8 x) (- 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) (+ (* (* x x) -1/192) 1/8) (/ (+ -1/2 y) x) (log 2))

simplify149.0ms (2.4%)

Memory
-6.8MiB live, 186.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03051358
19721316
233931251
088221172
Stop Event
1×iter limit
1×node limit
Counts
106 → 106
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)))
(+ (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)))))
(/ (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))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) 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))
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(/ (- y 1/2) x)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3))) 1/192))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (+ (/ (log 2) (pow x 4)) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3)))) 1/192))
(* -1/192 (/ (pow x 4) y))
(* (pow x 4) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* x (- (+ 1/2 (/ (log 2) 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)))
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (* 1/192 (/ 1 y))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (* y (- 1 (* 1/2 (/ 1 y)))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y))))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (* -1 (/ (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(+ 1/8 (* -1 (/ (- y 1/2) x)))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ (+ 1/2 (* 1/8 x)) x)
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(/ -1/2 x)
(- (/ y x) (* 1/2 (/ 1 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* -1 x)
(- (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)) x)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(/ y x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (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 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64)))
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))
(fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))
(fma.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
(+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (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))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(/ (- y 1/2) x)
(/.f64 (-.f64 y #s(literal 1/2 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1/192 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3))) 1/192))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (+ (/ (log 2) (pow x 4)) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3)))) 1/192))
(*.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x)) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/192 (/ (pow x 4) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1/192 binary64))
(* (pow x 4) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(*.f64 (/.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) y) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))) y) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/192 binary64) y))) (pow.f64 x #s(literal 4 binary64)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x))
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (* 1/192 (/ 1 y))))
(*.f64 (/.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))) y) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (* 1/192 (/ 1 y))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))) y) (/.f64 #s(literal 1/192 binary64) y)) (pow.f64 x #s(literal 4 binary64)))
(* -1/192 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/192 binary64))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* -1 (/ (* y (- 1 (* 1/2 (/ 1 y)))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) y y) x) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y))))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) y y)) x) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1/192 binary64) y)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* -1 (/ (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) y)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
(+ 1/8 (* -1 (/ (- y 1/2) x)))
(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 y #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)))
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) y)) (pow.f64 x #s(literal 4 binary64)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (neg.f64 x) (-.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)
(/.f64 (fma.f64 (neg.f64 x) (-.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) y)
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x)
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x (*.f64 (neg.f64 x) y))
(+ 1/8 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x))
(/ (+ 1/2 (* 1/8 x)) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)
(+ 1/2 (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (/ y x) (* 1/2 (/ 1 x)))
(/.f64 (-.f64 y #s(literal 1/2 binary64)) x)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 x)
(neg.f64 x)
(- (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)) x)
(-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (*.f64 x x) (neg.f64 x)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)
(/ y x)
(/.f64 y x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) y y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (*.f64 x x) (neg.f64 x)) y)
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) y (/.f64 (neg.f64 y) x))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) y (neg.f64 y))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) (neg.f64 y))

rewrite184.0ms (3%)

Memory
-1.8MiB live, 154.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061440
084438
1334438
22505438
08229420
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 212
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x)))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
#s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))
(log.f64 #s(literal 2 binary64))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(*.f64 y (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) y)) (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) (pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) y))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y (*.f64 y (log.f64 #s(literal 2 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) y))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) y))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) y))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) (neg.f64 y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) y)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) y)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) y) (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) x) y))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) y))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y))
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) (*.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) #s(literal 1/512 binary64))) (*.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(fma.f64 (*.f64 #s(literal -1/192 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 #s(literal -1/192 binary64) x) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))) (/.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/192 binary64)))
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/192 binary64) x)))
(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7077888 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))
#s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))
(log.f64 #s(literal 2 binary64))

eval41.0ms (0.7%)

Memory
22.3MiB live, 59.1MiB allocated
Compiler

Compiled 16 339 to 1 782 computations (89.1% saved)

prune26.0ms (0.4%)

Memory
-9.8MiB live, 39.9MiB allocated
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New2998307
Fresh3912
Picked235
Done145
Total30524329
Accuracy
100.0%
Counts
329 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.9%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
50.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓49.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓46.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓99.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
✓55.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
46.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
45.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
20.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
✓3.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
37.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
51.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y (*.f64 y (log.f64 #s(literal 2 binary64)))) (*.f64 y y)) x) y)))
80.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)))
50.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y)))
17.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
22.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
✓7.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
22.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
7.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
22.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
7.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
35.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
7.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
32.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
Compiler

Compiled 2 060 to 834 computations (59.5% saved)

regimes34.0ms (0.6%)

Memory
2.6MiB live, 40.1MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y (*.f64 y (log.f64 #s(literal 2 binary64)))) (*.f64 y y)) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (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 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
Calls

3 calls:

13.0ms
y
10.0ms
x
9.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes33.0ms (0.5%)

Memory
-0.1MiB live, 76.0MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) x) (log 2)) y) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) y (*.f64 y (log.f64 #s(literal 2 binary64)))) (*.f64 y y)) x) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

3 calls:

12.0ms
x
10.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
9.0ms
y
Results
AccuracySegmentsBranch
99.5%2x
86.9%1y
98.2%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes11.0ms (0.2%)

Memory
-21.9MiB live, 22.4MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.9%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory
-10.7MiB live, 27.9MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

2 calls:

7.0ms
x
5.0ms
(-.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))
82.6%2x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

1 calls:

5.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.1%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes18.0ms (0.3%)

Memory
-11.9MiB live, 26.6MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (/.f64 y x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) #s(approx (/ (+ (* 1/8 x) (- 1/2 y)) x) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (fma.f64 x (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) y))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x))) (*.f64 x x))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

3 calls:

6.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
55.8%1x
55.8%1y
55.8%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
3.6%1x
3.6%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
3.6%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch18.0ms (0.3%)

Memory
-17.2MiB live, 20.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-24284.15800058361
-0.030998564753887965
Samples
8.0ms144×0valid
Compiler

Compiled 363 to 299 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (38.7% of total)
ival-log1p: 2.0ms (38.7% of total)
ival-sub: 1.0ms (19.4% of total)
ival-mult: 1.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory
11.2MiB live, 11.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
-24284.15800058361
-0.030998564753887965
Samples
5.0ms96×0valid
Compiler

Compiled 318 to 272 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (31.9% of total)
ival-log1p: 1.0ms (31.9% of total)
ival-mult: 1.0ms (31.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
-24284.15800058361
-0.030998564753887965
Samples
5.0ms80×0valid
Compiler

Compiled 291 to 254 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (35.1% of total)
ival-log1p: 1.0ms (35.1% of total)
ival-mult: 1.0ms (35.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
-24284.15800058361
-0.030998564753887965
Samples
3.0ms48×0valid
Compiler

Compiled 237 to 218 computations (8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (66.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.569271308485284
42.30346528065748
0.0ms
0.08922533775713827
0.677768007251295
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.569271308485284
42.30346528065748
0.0ms
0.08922533775713827
0.677768007251295
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify57.0ms (0.9%)

Memory
-6.5MiB live, 33.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072302
1105301
2136301
3185301
4326301
51669301
66016301
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -19/2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -12 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.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 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 5 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 5 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (neg.f64 x) y)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -19/2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -19/2 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (neg.f64 x) y)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
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#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness1.0s (16.6%)

Memory
-7.0MiB live, 543.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159551
1555521
21892515
36786515
08376452
02391056
17911034
228171014
08555926
0823
01323
14923
233523
3339123
0837519
067197
1212197
2648197
32113197
44330187
57532187
08555153
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 483 to 210 computations (56.5% saved)

preprocess60.0ms (1%)

Memory
8.6MiB live, 84.8MiB allocated
Compiler

Compiled 698 to 198 computations (71.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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