Logistic regression 2

Time bar (total: 7.4s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze94.0ms (1.3%)

Memory
5.1MiB live, 190.3MiB 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)

sample2.7s (36.7%)

Memory
35.8MiB live, 2 837.9MiB allocated
Samples
1.6s2 648×5exit
610.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-log1p: 979.0ms (55.2% of total)
adjust: 328.0ms (18.5% of total)
ival-exp: 191.0ms (10.8% of total)
ival-mult: 137.0ms (7.7% of total)
ival-sub: 125.0ms (7% of total)
ival-true: 9.0ms (0.5% of total)
ival-assert: 5.0ms (0.3% of total)
Bogosity

explain142.0ms (1.9%)

Memory
-31.6MiB live, 61.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
391(-1.850872252553311e+247 3.827406080477484e+191)0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 x))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))sensitivity910
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))oflow-rescue30
↳(exp.f64 x)overflow3
↳(+.f64 #s(literal 1 binary64) (exp.f64 x))overflow3
Confusion
Predicted +Predicted -
+30
-91162
Precision
0.031914893617021274
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-910162
Precision?
0.031914893617021274
Recall?
1.0
Freqs
test
numberfreq
0162
194
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
83.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-exp: 21.0ms (58% of total)
ival-log1p: 5.0ms (13.8% of total)
ival-mult: 4.0ms (11.1% of total)
ival-add: 3.0ms (8.3% of total)
ival-sub: 2.0ms (5.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess199.0ms (2.7%)

Memory
14.5MiB live, 69.2MiB 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
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify147.0ms (2%)

Memory
12.4MiB live, 58.1MiB 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

localize46.0ms (0.6%)

Memory
-33.0MiB live, 13.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy0.01171875
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy0.015625
(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy0.7339899931524116
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Samples
40.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 2.0ms (21.4% of total)
ival-mult: 2.0ms (21.4% of total)
ival-log1p: 2.0ms (21.4% of total)
ival-add: 1.0ms (10.7% of total)
ival-sub: 1.0ms (10.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.9%)

Memory
8.1MiB live, 52.0MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
Outputs
(log 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))))))
(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
32.0ms
x
@-inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
26.0ms
x
@inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
3.0ms
y
@0
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms
y
@-inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms
y
@inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))

simplify198.0ms (2.7%)

Memory
28.6MiB live, 176.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067194
1212194
2648194
32113194
44357184
57784184
08104150
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
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))))))
(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))
(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)))

rewrite159.0ms (2.2%)

Memory
-4.7MiB live, 230.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01320
14920
233520
3339120
0837516
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 261
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
Outputs
(*.f64 (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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eval48.0ms (0.6%)

Memory
-7.0MiB live, 92.7MiB allocated
Compiler

Compiled 6 790 to 1 195 computations (82.4% saved)

prune9.0ms (0.1%)

Memory
-24.4MiB live, 22.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2747281
Fresh000
Picked101
Done000
Total2757282
Accuracy
100.0%
Counts
282 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
62.6%
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
▶91.1%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
70.7%
#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))))
▶73.9%
#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))))
▶80.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶56.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Compiler

Compiled 218 to 172 computations (21.1% saved)

simplify121.0ms (1.6%)

Memory
48.5MiB live, 178.4MiB 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)

localize116.0ms (1.6%)

Memory
-14.3MiB live, 130.3MiB 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))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy16.714111921332112
#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))
accuracy0.0078125
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy12.51942471828642
#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 x y)
accuracy0.01171875
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy0.7339899931524116
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy20.359357998275925
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy28.017643130219614
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
accuracy0.0
(neg.f64 y)
accuracy0.0
(exp.f64 x)
accuracy0.00390625
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy0.7339899931524116
(log1p.f64 (exp.f64 x))
Samples
65.0ms256×0valid
Compiler

Compiled 128 to 26 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-add: 18.0ms (35.8% of total)
ival-neg: 13.0ms (25.8% of total)
ival-mult: 10.0ms (19.9% of total)
ival-exp: 2.0ms (4% of total)
ival-sub: 2.0ms (4% of total)
ival-log: 2.0ms (4% of total)
ival-log1p: 2.0ms (4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory
11.5MiB live, 59.8MiB 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
13.0ms
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)))
8.0ms
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)))

simplify157.0ms (2.1%)

Memory
23.3MiB live, 235.4MiB 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))

rewrite203.0ms (2.8%)

Memory
-13.1MiB live, 283.0MiB 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))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))) (fma.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)))) (fma.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 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))) (fma.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)))) (fma.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 (pow.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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)))) (fma.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 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.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 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.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))))))
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(/.f64 (+.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (fma.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 1/8 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 (/.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 1/2 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 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 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (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 (*.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 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (*.f64 (-.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 (fma.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 (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)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (*.f64 (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)))) (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 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.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 1/2 binary64) y) #s(literal 2 binary64)) (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)) (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 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (+.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 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (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)) (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 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (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 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (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)))))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) (/.f64 (*.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 1/2 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 (0.6%)

Memory
-0.0MiB live, 92.5MiB allocated
Compiler

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

prune13.0ms (0.2%)

Memory
-15.8MiB live, 31.2MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New3327339
Fresh022
Picked325
Done000
Total33511346
Accuracy
100.0%
Counts
346 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶91.1%
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
62.6%
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
▶70.7%
#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))))
49.3%
#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))))
▶45.9%
#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))))
✓56.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶37.4%
#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)))
▶23.5%
#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))))
6.6%
#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 399 to 317 computations (20.6% saved)

simplify168.0ms (2.3%)

Memory
26.7MiB live, 121.9MiB 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
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044272
067272
1113272
2236272
3576272
41428272
54190272
67834272
08012258
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(neg.f64 y)
y
x
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #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
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) y (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(neg.f64 y)
y
x
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #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)

localize109.0ms (1.5%)

Memory
-14.7MiB live, 127.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(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))
accuracy0.02734375
(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)))
accuracy0.08203125
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy18.778794973922118
#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))
accuracy0.0078125
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy12.51942471828642
#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))))
accuracy32.51845082743856
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy0.015625
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
accuracy16.714111921332112
#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))))
accuracy21.20373948307757
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
accuracy27.890855148857906
#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)
accuracy12.51942471828642
#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)))
accuracy27.984461289732756
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy0.0
(neg.f64 y)
accuracy0.00390625
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy0.7339899931524116
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy23.947689730190167
#s(approx (exp x) #s(literal 1 binary64))
Samples
71.0ms256×0valid
Compiler

Compiled 192 to 36 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 20.0ms (37.7% of total)
ival-add: 9.0ms (17% of total)
ival-log: 6.0ms (11.3% of total)
ival-sub: 4.0ms (7.5% of total)
const: 4.0ms (7.5% of total)
ival-log1p: 3.0ms (5.7% of total)
ival-div: 2.0ms (3.8% of total)
ival-exp: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
13.3MiB live, 58.5MiB allocated
Counts
21 → 93
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(neg.f64 y)
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(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))
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
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)))
(* 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)))
(/ (- y 1/2) x)
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) 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 (* 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))
(* -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))))
(* (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 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 (+ (* -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 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 (+ 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 (+ 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
15.0ms
x
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp 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) (/ (+ -1/2 y) x))
10.0ms
x
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp 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) (/ (+ -1/2 y) x))
5.0ms
y
@0
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp 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) (/ (+ -1/2 y) x))
4.0ms
y
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp 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) (/ (+ -1/2 y) x))
4.0ms
y
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp 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) (/ (+ -1/2 y) x))

simplify161.0ms (2.2%)

Memory
-0.4MiB live, 234.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0245999
1838961
22973940
08518861
Stop Event
1×iter limit
1×node limit
Counts
93 → 93
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)))
(* 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)))
(/ (- y 1/2) x)
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) 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 (* 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))
(* -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))))
(* (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 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 (+ (* -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 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 (+ 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 (+ 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 (* -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 (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) (* 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 (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 (- 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))
(/ (- y 1/2) x)
(/.f64 (-.f64 y #s(literal 1/2 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* 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)
(* 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)
(* -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))
(* (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)
(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 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 (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)))))
(*.f64 x (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) 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 (+ (* -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 x) (* 1/2 (/ x y))))
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) 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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) 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 (+ 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 (+ 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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) 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 (+ 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))

rewrite203.0ms (2.8%)

Memory
5.4MiB live, 239.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044239
067239
1275239
22076239
08883225
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 281
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(neg.f64 y)
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(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))
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 x (neg.f64 y) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 y (neg.f64 x) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))
(-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) x))
(-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x y))
(+.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))) (/.f64 (*.f64 (neg.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(+.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))
(neg.f64 y)
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64))) (log.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
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(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 x x)))
(+.f64 (/.f64 #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 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 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 (/.f64 (*.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 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 #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 (/.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 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 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 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 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 #s(literal -1/192 binary64) (*.f64 x x)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.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 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 x y))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (fma.f64 x y (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 x (neg.f64 y))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (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 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 x y)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #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 1/2 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y)) x))
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) y)) x) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1/2 binary64) y)) x))
(+.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 x y) (*.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))

eval129.0ms (1.7%)

Memory
-3.8MiB live, 115.7MiB allocated
Compiler

Compiled 16 933 to 1 760 computations (89.6% saved)

prune21.0ms (0.3%)

Memory
-7.9MiB live, 38.6MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New35914373
Fresh044
Picked235
Done022
Total36123384
Accuracy
100.0%
Counts
384 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓91.1%
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶62.6%
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
50.0%
#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))))
49.3%
#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))))
✓45.9%
#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))))
✓56.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
21.0%
#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))))
✓37.4%
#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)))
37.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
▶3.4%
#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)))
37.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
19.0%
#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 x y (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
10.3%
#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 1/4 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x))) (*.f64 x x))))
23.1%
#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) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
6.6%
#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))))
▶23.8%
#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 y #s(literal 1/2 binary64)) x)) x) x)))
6.6%
#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))))
▶29.1%
#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)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
36.9%
#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))))
30.7%
#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))))
▶30.4%
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))))
45.8%
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 1 261 to 934 computations (25.9% saved)

simplify120.0ms (1.6%)

Memory
-1.5MiB live, 137.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)
cost-diff0
#s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))
cost-diff0
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)))
cost-diff0
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))))
cost-diff0
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
cost-diff0
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)))
cost-diff0
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.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 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.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 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) 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
(log.f64 (log1p.f64 (exp.f64 x)))
cost-diff0
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
cost-diff0
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
cost-diff8
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061479
086465
1155463
2332463
3913463
44347463
08068449
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(*.f64 x y)
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 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.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 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.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
(*.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 y #s(literal 1/2 binary64)) x)) x) x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)
(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x))
#s(literal 1/8 binary64)
(/.f64 (-.f64 y #s(literal 1/2 binary64)) x)
(-.f64 y #s(literal 1/2 binary64))
y
#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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)))
#s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))
(*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64)))
x
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1/8 binary64)
y
#s(literal -1 binary64)
Outputs
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(*.f64 x y)
(*.f64 y 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 (+ (* (- 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 #s(approx (- 1/8 (/ (+ -1/2 y) 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 x x) #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.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 x x) #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.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
(*.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 y #s(literal 1/2 binary64)) x)) x) x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)
(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x))
#s(literal 1/8 binary64)
(/.f64 (-.f64 y #s(literal 1/2 binary64)) x)
(-.f64 y #s(literal 1/2 binary64))
y
#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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))))
#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 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64)) x) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64)) x) y)))
#s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))
#s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64)) x) y))
(*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64)) x) y)
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64)) x)
x
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1/8 binary64)
y
#s(literal -1 binary64)

localize164.0ms (2.2%)

Memory
18.5MiB live, 158.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)
accuracy0.22712721569876226
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))))
accuracy8.754720585407785
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))
accuracy27.890855148857906
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)))
accuracy0.01171875
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
accuracy0.22712721569876226
#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 y #s(literal 1/2 binary64)) x)) x) x)))
accuracy8.240615917775463
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)
accuracy27.890855148857906
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x))
accuracy0.22712721569876226
#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 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
accuracy0.47225481291648286
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy21.18811448307757
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))
accuracy27.890855148857906
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
accuracy0.00390625
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy0.34575972061562354
#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)))
accuracy22.18072411519271
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy27.89085546281982
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy0.0234375
(log.f64 (log1p.f64 (exp.f64 x)))
accuracy0.025722509768442016
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
accuracy0.609375
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
accuracy0.7339899931524116
(log1p.f64 (exp.f64 x))
Samples
91.0ms165×0valid
28.0ms91×0exit
Compiler

Compiled 299 to 44 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-div: 49.0ms (49.8% of total)
ival-mult: 17.0ms (17.3% of total)
ival-add: 8.0ms (8.1% of total)
ival-sub: 7.0ms (7.1% of total)
ival-log: 5.0ms (5.1% of total)
ival-cosh: 4.0ms (4.1% of total)
ival-exp: 3.0ms (3% of total)
ival-log1p: 3.0ms (3% of total)
ival-sinh: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series134.0ms (1.8%)

Memory
-22.0MiB live, 162.4MiB allocated
Counts
24 → 106
Calls
Call 1
Inputs
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 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 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.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 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.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 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)))
#s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))
(*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)
(log1p.f64 (exp.f64 x))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)
Outputs
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1 (/ (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))))))
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Calls

6 calls:

TimeVariablePointExpression
53.0ms
x
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28.0ms
x
@-inf
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16.0ms
x
@0
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14.0ms
y
@0
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6.0ms
y
@-inf
((+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp 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)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* (- 1/8 (/ (- y 1/2) x)) x) x) (* (- 1/8 (/ (- y 1/2) x)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (log (+ 1 (exp x))) (sinh (log (log (+ 1 (exp x))))) (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/ (+ (/ 1/2 x) 1/8) y))

simplify171.0ms (2.3%)

Memory
39.3MiB live, 235.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03853070
113892934
253192834
082422622
Stop Event
1×iter limit
1×node limit
Counts
106 → 106
Calls
Call 1
Inputs
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
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(log (log 2))
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(log 2)
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1/8
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-1
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Outputs
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
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rewrite174.0ms (2.4%)

Memory
-6.2MiB live, 182.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061412
086398
1327396
22351396
08481382
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 254
Calls
Call 1
Inputs
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
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#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 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.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 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
(*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))
#s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.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 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x) x)
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)))
#s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y))
(*.f64 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))) y)
(log1p.f64 (exp.f64 x))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)
Outputs
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(log1p.f64 (exp.f64 x))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) (*.f64 (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))) (pow.f64 (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) #s(literal -4 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (neg.f64 (log.f64 (log1p.f64 (exp.f64 x))))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))
(+.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 y x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x))) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64))
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)) x))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)))))
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/8 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64)))) (neg.f64 (*.f64 y y)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (neg.f64 y) (*.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 y y))
(/.f64 (fma.f64 #s(literal -1/8 binary64) y (*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (*.f64 (neg.f64 x) y)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 y x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) (*.f64 y x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (neg.f64 y) (*.f64 y (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) y (*.f64 y (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y (*.f64 (neg.f64 x) y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 y x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 y (*.f64 y x)))
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/8 binary64))) (*.f64 y y))
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) y (*.f64 (neg.f64 y) #s(literal 1/8 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 y) (*.f64 y #s(literal -1/8 binary64))) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 x) y) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (*.f64 (neg.f64 x) y) #s(literal 1/8 binary64))) (*.f64 (*.f64 (neg.f64 x) y) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (*.f64 y x) #s(literal -1/8 binary64))) (*.f64 (*.f64 y x) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 y x) #s(literal 1/8 binary64))) (*.f64 (*.f64 y x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/8 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/16 binary64) x)) y)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/16 binary64) x)) y))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) (neg.f64 y))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) y))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (neg.f64 y)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)) (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)) (/.f64 #s(literal 1/64 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) y) (/.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))) y))
(+.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) x) y))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/8 binary64) y))

eval40.0ms (0.5%)

Memory
10.6MiB live, 56.3MiB allocated
Compiler

Compiled 14 327 to 1 709 computations (88.1% saved)

prune28.0ms (0.4%)

Memory
-0.7MiB live, 44.8MiB allocated
Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New31110321
Fresh21113
Picked325
Done055
Total31628344
Accuracy
100.0%
Counts
344 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓91.1%
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
67.1%
(-.f64 (+.f64 #s(approx (cosh (log (log (+ 1 (exp x))))) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
50.0%
#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))))
49.3%
#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))))
✓45.9%
#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))))
✓56.2%
#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)))
21.0%
#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))))
✓37.4%
#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)))
37.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
✓3.4%
#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)))
37.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
19.0%
#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 x y (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
10.3%
#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 1/4 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x))) (*.f64 x x))))
23.1%
#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) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
6.6%
#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))))
30.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x) x)))
6.6%
#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))))
✓29.1%
#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)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
36.9%
#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))))
30.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (* (- 1/8 (/ (- y 1/2) x)) x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))) x)))
30.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (* (- 1/8 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64)) y)) x)))
24.2%
#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 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
30.7%
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) y))))
6.6%
#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 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) y))))
37.3%
#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 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))) y))))
23.8%
#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)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
Compiler

Compiled 2 204 to 950 computations (56.9% saved)

regimes40.0ms (0.5%)

Memory
-14.0MiB live, 31.7MiB allocated
Counts
39 → 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
#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))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (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))))
(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))
(-.f64 (+.f64 #s(approx (cosh (log (log (+ 1 (exp x))))) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(-.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:

20.0ms
y
10.0ms
x
9.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.8%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
98.8%1x
98.8%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes46.0ms (0.6%)

Memory
-25.7MiB live, 29.5MiB allocated
Counts
35 → 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
#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))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (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))))
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:

26.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
9.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
98.9%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.8%2x
91.1%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes11.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
#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))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (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:

9.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
32 → 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
#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))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (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:

8.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory
-29.7MiB live, 14.1MiB allocated
Counts
30 → 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
#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))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
29 → 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
#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:

8.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.2%)

Memory
-18.4MiB live, 27.9MiB allocated
Counts
28 → 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
#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:

8.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
7.0ms
x
Results
AccuracySegmentsBranch
98.7%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
85.7%3x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
27 → 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
#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:

7.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.4%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes21.0ms (0.3%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
25 → 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 (/ (- y 1/2) x)) x) (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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 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 (-.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(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) 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 (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
#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 (*.f64 x (fma.f64 x #s(approx (/ (+ (/ 1/2 x) 1/8) y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal -1 binary64))) 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 1/8 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) x)) 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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x #s(approx (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))) 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 1/4 binary64) (*.f64 y y)) (*.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) (/.f64 (fma.f64 x y (*.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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) #s(approx (* (* x (+ (* x (/ (+ (/ 1/2 x) 1/8) y)) -1)) y) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/8 binary64)) x) x)))))
#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 (*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 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 (/ (- y 1/2) x)) x) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 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) #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)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (*.f64 y #s(literal 1/8 binary64))) (*.f64 y y)) #s(literal -1 binary64))) y))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

3 calls:

7.0ms
x
6.0ms
y
6.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
56.2%1x
56.2%1y
56.2%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes3.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
3.4%1x
3.4%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
3.4%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch33.0ms (0.4%)

Memory
-32.5MiB live, 14.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-17197971250.12803
-0.24786970325338772
Samples
24.0ms160×0valid
Compiler

Compiled 402 to 331 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log1p: 17.0ms (82.3% of total)
ival-exp: 2.0ms (9.7% of total)
ival-sub: 1.0ms (4.8% of total)
ival-mult: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-17197971250.12803
-0.24786970325338772
Samples
6.0ms112×0valid
Compiler

Compiled 352 to 301 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (26.8% of total)
ival-exp: 1.0ms (26.8% of total)
ival-log1p: 1.0ms (26.8% of total)
ival-mult: 1.0ms (26.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
-17197971250.12803
-0.24786970325338772
Samples
4.0ms64×0valid
Compiler

Compiled 322 to 281 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (43.2% of total)
ival-log1p: 1.0ms (43.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-17197971250.12803
-0.24786970325338772
Compiler

Compiled 242 to 221 computations (8.7% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-17197971250.12803
-0.24786970325338772
Compiler

Compiled 262 to 241 computations (8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.6931472590155224
135.80271004906683
0.0ms
0.0010202254895277994
0.5768726724022581
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.6931472590155224
135.80271004906683
0.0ms
0.0010202254895277994
0.5768726724022581
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify52.0ms (0.7%)

Memory
1.1MiB live, 50.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073329
1106328
2137328
3186328
4327328
51660328
66002328
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 -37/2 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 -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -37/2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -37/2 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 1152921504606847/576460752303423488 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 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/576460752303423488 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 1 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)))))
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(if (<=.f64 x #s(literal -37/2 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 -37/2 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)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 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 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -37/2 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -37/2 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 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)))

derivations856.0ms (11.6%)

Memory
2.9MiB live, 574.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01320
14920
233520
3339120
0837516
0245999
1838961
22973940
08518861
0159551
1555521
21892515
36786515
08376452
067194
1212194
2648194
32113194
44357184
57784184
08104150
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 342 to 74 computations (78.4% saved)

preprocess65.0ms (0.9%)

Memory
-18.7MiB live, 114.7MiB allocated
Compiler

Compiled 754 to 200 computations (73.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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