Logistic regression 2

Time bar (total: 7.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze152.0ms (2.1%)

Memory
-25.3MiB live, 162.4MiB allocated; 65ms collecting garbage
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)

sample3.5s (47.8%)

Memory
-197.4MiB live, 3 848.1MiB allocated; 1.7s collecting garbage
Samples
1.6s2 648×5exit
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-log1p: 1.5s (62.3% of total)
adjust: 348.0ms (14% of total)
ival-mult: 230.0ms (9.3% of total)
ival-exp: 191.0ms (7.7% of total)
ival-sub: 153.0ms (6.2% of total)
ival-true: 9.0ms (0.4% of total)
ival-assert: 5.0ms (0.2% of total)
Bogosity

explain106.0ms (1.4%)

Memory
33.0MiB live, 223.9MiB allocated; 19ms collecting garbage
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
35.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 6.0ms (29.4% of total)
ival-log1p: 5.0ms (24.5% of total)
ival-exp: 4.0ms (19.6% of total)
ival-add: 3.0ms (14.7% of total)
ival-sub: 2.0ms (9.8% 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)

preprocess184.0ms (2.5%)

Memory
-19.3MiB live, 164.5MiB allocated; 25ms collecting garbage
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; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

series62.0ms (0.8%)

Memory
1.3MiB live, 86.5MiB allocated; 13ms collecting garbage
Counts
8 → 27
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
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x y)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
y
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
Calls

6 calls:

TimeVariablePointExpression
27.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
22.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
6.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
3.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
1.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

simplify153.0ms (2.1%)

Memory
18.0MiB live, 216.9MiB allocated; 32ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067199
1212199
2648199
32119199
44395189
57831189
08150155
Stop Event
1×iter limit
1×node limit
Counts
27 → 25
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x y)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
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) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 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))))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(* x y)
(*.f64 y 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)))
(log (+ 1 (exp x)))
(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
(* 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)))

rewrite165.0ms (2.2%)

Memory
10.0MiB live, 157.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
14926
233526
3339126
0837522
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 314
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 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (-.f64 (*.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)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x)) (-.f64 (*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64))))
(*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (/.f64 (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(*.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (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 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))))
(/.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 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y 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)))) (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
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(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
(log.f64 (exp.f64 x))
x
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 y y)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 y y)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 y (*.f64 (neg.f64 x) y))))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x))))
(log.f64 (pow.f64 (exp.f64 x) y))
y

eval85.0ms (1.2%)

Memory
-3.0MiB live, 89.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 7 986 to 1 424 computations (82.2% saved)

prune13.0ms (0.2%)

Memory
-15.4MiB live, 27.3MiB allocated; 6ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3448352
Fresh000
Picked101
Done000
Total3458353
Accuracy
100.0%
Counts
353 → 8
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))
45.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 242 to 194 computations (19.8% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series159.0ms (2.2%)

Memory
31.6MiB live, 118.5MiB allocated; 11ms collecting garbage
Counts
26 → 84
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)
(-.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)
#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)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
(-.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)))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 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))))))))
x
(+ (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)
(+ (* 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)))))) y))))
(+ (* 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)))))))))) y))))
(+ (* 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) (+ (* 1/6 (- (* 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)))))) (+ (* -1 (/ (+ (* 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))))) (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) (+ (* 1/6 (- (* 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)))))) (+ (* -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)))))))))))))))) y))))
(+ (* 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)))))))))))))))))))
(* 1/2 (+ (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (- 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 (* x (- (+ (* 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 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 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)))))) (+ (* -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)))))))))) (* 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)))))))))))
(log (log 2))
(+ (log (log 2)) (* 1/2 (/ x (log 2))))
(+ (log (log 2)) (* x (+ (* 1/2 (* x (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (* 1/2 (/ 1 (log 2))))))
(+ (log (log 2)) (* x (+ (* x (+ (* 1/6 (* x (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))))) (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))))) (* 1/2 (/ 1 (log 2))))))
(* 1/2 (- (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (+ 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 (* x (- (* (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 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 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)))))) (+ (* -1 (/ (+ (* 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))))) (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) (+ (* 1/2 (- (* 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)))))))))))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(* 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)))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(log (log (+ 1 (exp x))))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
y
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(* -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) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
Calls

6 calls:

TimeVariablePointExpression
61.0ms
x
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (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)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))
44.0ms
x
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (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)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))
35.0ms
y
@0
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (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)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))
8.0ms
x
@0
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (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)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))
4.0ms
y
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (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)) 2 (* x y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sinh (log (log (+ 1 (exp x))))))

simplify217.0ms (2.9%)

Memory
-47.9MiB live, 219.8MiB allocated; 121ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03482836
112582698
248362614
082212394
Stop Event
1×iter limit
1×node limit
Counts
84 → 82
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))))))))
x
(+ (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)
(+ (* 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)))))) y))))
(+ (* 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)))))))))) y))))
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(+ (* 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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(* 1/2 (+ (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (- 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 (* x (- (+ (* 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 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 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)))))) (+ (* -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)))))))))) (* 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)))))))))))
(log (log 2))
(+ (log (log 2)) (* 1/2 (/ x (log 2))))
(+ (log (log 2)) (* x (+ (* 1/2 (* x (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (* 1/2 (/ 1 (log 2))))))
(+ (log (log 2)) (* x (+ (* x (+ (* 1/6 (* x (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))))) (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))))) (* 1/2 (/ 1 (log 2))))))
(* 1/2 (- (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (+ 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 (* x (- (* (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 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 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)))))) (+ (* -1 (/ (+ (* 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))))) (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) (+ (* 1/2 (- (* 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)))))))))))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(* 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)))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(log (log (+ 1 (exp x))))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
y
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(* -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) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
Outputs
(log 2)
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(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (* x (- (* (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 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) x (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 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)))))) (+ (* -1 (/ (+ (* 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))))) (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) (+ (* 1/2 (- (* 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)))))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (log.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal -1/6 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))))) x (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)) x (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) x (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(* 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))
(* 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 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x))
(* 1/8 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)
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) x) #s(literal 1/2 binary64) (neg.f64 y)) x)
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(log (log (+ 1 (exp x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64))
(* -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)
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x))
(* -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)))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) x) #s(literal 1/2 binary64) (neg.f64 y)) x)
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) 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) (+ (/ (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)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 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))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal 1/2 binary64) (neg.f64 x)) y)

rewrite180.0ms (2.4%)

Memory
35.7MiB live, 313.8MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032143
053127
1196127
21444127
08240127
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 448
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)
(-.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)
#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)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
(-.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)))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
Outputs
(/.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 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64))) (-.f64 (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 (-.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y)) (-.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y)))) (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (-.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))))
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(/.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 (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 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.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)) (+.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 (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 (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 (pow.f64 (sinh.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 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.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)) (-.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 (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 (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 (-.f64 (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (/.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (/.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (log.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)))) (log.f64 (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))
(-.f64 (log.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))))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.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))))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (log.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))))) (log.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 (log.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)))))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.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)))))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.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)))) (log.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 (log.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)))) (log.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 #s(literal 0 binary64) (neg.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(log.f64 (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal 2 binary64)))

eval89.0ms (1.2%)

Memory
-19.0MiB live, 213.7MiB allocated; 23ms collecting garbage
Compiler

Compiled 24 877 to 2 493 computations (90% saved)

prune18.0ms (0.2%)

Memory
-11.2MiB live, 47.5MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New6385643
Fresh033
Picked325
Done000
Total64110651
Accuracy
100.0%
Counts
651 → 10
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))))
▶45.1%
#s(approx (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
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))))
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))
▶45.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
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))))
Compiler

Compiled 389 to 297 computations (23.7% saved)

simplify0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series35.0ms (0.5%)

Memory
27.6MiB live, 74.9MiB allocated; 1ms collecting garbage
Counts
26 → 60
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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
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))))))))
x
(+ (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)))
(* 1/8 (pow x 2))
(pow x 2)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (* 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)))))) y))))
(+ (* 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)))))))))) y))))
(+ (* 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) (+ (* 1/6 (- (* 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)))))) (+ (* -1 (/ (+ (* 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))))) (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) (+ (* 1/6 (- (* 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)))))) (+ (* -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)))))))))))))))) y))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* (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)))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
y
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(* -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) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) 1/2 (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (log 2) (/ 1 (log 2))) (/ 1 (log 2)) (+ (* 1/2 (log 2)) (/ 1/2 (log 2))) (/ 1/2 (log 2)))
10.0ms
x
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) 1/2 (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (log 2) (/ 1 (log 2))) (/ 1 (log 2)) (+ (* 1/2 (log 2)) (/ 1/2 (log 2))) (/ 1/2 (log 2)))
5.0ms
y
@0
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) 1/2 (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (log 2) (/ 1 (log 2))) (/ 1 (log 2)) (+ (* 1/2 (log 2)) (/ 1/2 (log 2))) (/ 1/2 (log 2)))
4.0ms
y
@-inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) 1/2 (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (log 2) (/ 1 (log 2))) (/ 1 (log 2)) (+ (* 1/2 (log 2)) (/ 1/2 (log 2))) (/ 1/2 (log 2)))
4.0ms
y
@inf
((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) y x (log (+ 1 (exp x))) (exp x) 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) 1/8 (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) 1/2 (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (log 2) (/ 1 (log 2))) (/ 1 (log 2)) (+ (* 1/2 (log 2)) (/ 1/2 (log 2))) (/ 1/2 (log 2)))

simplify169.0ms (2.3%)

Memory
-17.3MiB live, 220.1MiB allocated; 27ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731340
19431278
235381246
085621114
Stop Event
1×iter limit
1×node limit
Counts
60 → 58
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))))))))
x
(+ (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)))
(* 1/8 (pow x 2))
(pow x 2)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (* 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)))))) y))))
(+ (* 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)))))))))) y))))
(+ (* 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) (+ (* 1/6 (- (* 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)))))) (+ (* -1 (/ (+ (* 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))))) (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) (+ (* 1/6 (- (* 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)))))) (+ (* -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)))))))))))))))) y))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* (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)))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
y
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(* -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) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp 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)))
x
(+ (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))))))
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(* -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))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) y y))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal 1/2 binary64) (neg.f64 x)) y)

rewrite205.0ms (2.8%)

Memory
11.3MiB live, 198.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042218
060210
1282208
22274208
08131194
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 273
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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
Outputs
(/.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 (*.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 (*.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 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)
y
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 0 binary64))
(sqrt.f64 (*.f64 x x))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
(log.f64 (exp.f64 x))
x
(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(literal 1 binary64)
#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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 (*.f64 #s(literal 1/8 binary64) x) x)
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/8 binary64) x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 #s(literal 1/2 binary64)))
(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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.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))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
(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))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))

eval94.0ms (1.3%)

Memory
5.2MiB live, 109.1MiB allocated; 17ms collecting garbage
Compiler

Compiled 18 716 to 1 637 computations (91.3% saved)

prune19.0ms (0.3%)

Memory
-14.0MiB live, 30.3MiB allocated; 6ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New4240424
Fresh033
Picked055
Done022
Total42410434
Accuracy
100.0%
Counts
434 → 10
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))))
✓45.1%
#s(approx (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
▶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))))
▶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))
✓45.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶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))))
Compiler

Compiled 205 to 157 computations (23.4% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series41.0ms (0.6%)

Memory
-6.4MiB live, 39.0MiB allocated; 6ms collecting garbage
Counts
22 → 84
Calls
Call 1
Inputs
#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 (-.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)
(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))
#s(literal -1/192 binary64)
Outputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(/ (- y 1/2) x)
x
(pow x 2)
(- 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)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -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 (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(+ 1/8 (* -1 (/ (- y 1/2) x)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 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)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ -1/2 x)
(- (/ y x) (* 1/2 (/ 1 x)))
-1/2
(- y 1/2)
y
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* 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 x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* y (- 1 (* 1/2 (/ 1 y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* 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))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(* -1 (* y (- (* 1/2 (/ 1 y)) 1)))
(* -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 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) 1/8 (/ (+ -1/2 y) x) (+ -1/2 y) -1/2 y x (* x x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 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) -1/192)
5.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) 1/8 (/ (+ -1/2 y) x) (+ -1/2 y) -1/2 y x (* x x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 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) -1/192)
5.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) 1/8 (/ (+ -1/2 y) x) (+ -1/2 y) -1/2 y x (* x x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 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) -1/192)
4.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) 1/8 (/ (+ -1/2 y) x) (+ -1/2 y) -1/2 y x (* x x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 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) -1/192)
4.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (- 1/8 (/ (+ -1/2 y) x)) 1/8 (/ (+ -1/2 y) x) (+ -1/2 y) -1/2 y x (* x x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) 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) -1/192)

simplify133.0ms (1.8%)

Memory
33.0MiB live, 132.0MiB allocated; 21ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0211866
1678849
22424828
08505767
Stop Event
1×iter limit
1×node limit
Counts
84 → 82
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(/ (- y 1/2) x)
x
(pow x 2)
(- 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)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -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 (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* (pow x 2) (+ 1/8 (* -1 (/ (- y 1/2) x))))
(+ 1/8 (* -1 (/ (- y 1/2) x)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 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)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ -1/2 x)
(- (/ y x) (* 1/2 (/ 1 x)))
-1/2
(- y 1/2)
y
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* 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 x)
(* y (- (/ 1 x) (* 1/2 (/ 1 (* x y)))))
(* y (- 1 (* 1/2 (/ 1 y))))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* 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))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(* -1 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(* -1 (* y (- (* 1/2 (/ 1 y)) 1)))
(* -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 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* 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)
(/ (- y 1/2) x)
(/.f64 (-.f64 y #s(literal 1/2 binary64)) x)
x
(pow x 2)
(*.f64 x 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))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* 1/8 (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))
(* 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)
(* -1/192 (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 (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) 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))
(* -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 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)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x)
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(*.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))
(/ -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)
-1/2
#s(literal -1/2 binary64)
(- y 1/2)
(-.f64 y #s(literal 1/2 binary64))
y
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (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))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 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 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))
(* y (- 1 (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) y 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)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 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)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 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 (- (* 1/2 (/ 1 (* x y))) (/ 1 x))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (* y (- (* 1/2 (/ 1 y)) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (- 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 (* 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))

rewrite262.0ms (3.6%)

Memory
-39.0MiB live, 207.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034180
049180
1218180
21678180
08387170
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 316
Calls
Call 1
Inputs
#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 (-.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)
(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))
#s(literal -1/192 binary64)
Outputs
#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 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) x) x))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))
(*.f64 x (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) (*.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1/512 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/512 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)))
(/.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)))
(-.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y x))
(-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/512 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))))
(-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x))
(+.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))) (/.f64 (*.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64))))
#s(literal 1/8 binary64)
(/.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 (neg.f64 (+.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 y x))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 y) x (*.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 y x (*.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 (neg.f64 x) 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 (neg.f64 (+.f64 #s(literal -1/2 binary64) y))) (neg.f64 (neg.f64 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 (fma.f64 #s(literal -1/2 binary64) x (*.f64 y x)) (*.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 (neg.f64 (+.f64 #s(literal -1/2 binary64) y)) (neg.f64 x))
(/.f64 (+.f64 #s(literal -1/2 binary64) y) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) 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 y x) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x)))
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) x))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal -1/2 binary64) y) x)))
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#s(literal -1/192 binary64)

eval90.0ms (1.2%)

Memory
16.2MiB live, 105.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 25 138 to 2 662 computations (89.4% saved)

prune46.0ms (0.6%)

Memory
-11.0MiB live, 47.5MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New55919578
Fresh000
Picked303
Done167
Total56325588
Accuracy
100.0%
Counts
588 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓91.1%
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓45.1%
#s(approx (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
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))
46.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
✓45.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
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 y x (*.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))))
3.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
7.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
11.0%
#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 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
5.0%
#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 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
7.3%
#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 -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.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) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) 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))))
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))))
37.4%
#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 #s(literal 1/2 binary64) y) x))))
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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) 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))))
Compiler

Compiled 1 780 to 802 computations (54.9% saved)

regimes27.0ms (0.4%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
#s(approx (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(-.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:

9.0ms
y
9.0ms
x
8.0ms
(-.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)

regimes35.0ms (0.5%)

Memory
-9.0MiB live, 37.7MiB allocated; 2ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

3 calls:

19.0ms
y
8.0ms
x
7.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
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)

regimes20.0ms (0.3%)

Memory
-29.7MiB live, 16.0MiB allocated; 2ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (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:

18.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (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:

7.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (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:

6.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.6%)

Memory
-34.6MiB live, 12.5MiB allocated; 1ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 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:

34.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
6.0ms
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)

regimes6.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

1 calls:

5.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.4%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes16.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Accuracy

Total -36.0b remaining (-128.4%)

Threshold costs -36b (-128.4%)

Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) 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 #s(literal 1/2 binary64) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (- 1/8 (/ (+ -1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (- 1/8 (/ (+ -1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) 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)) (*.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(literal 1/8 binary64) (/.f64 #s(approx (+ -1/2 y) #s(literal -1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 (-.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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (fabs.f64 x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 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 y x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #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 (-.f64 #s(literal 1/8 binary64) #s(approx (/ (+ -1/2 y) x) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) y (/.f64 y x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) (*.f64 x x))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

3 calls:

5.0ms
x
5.0ms
y
5.0ms
(-.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)

bsearch17.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-17197971250.12803
-0.24786970325338772
Samples
9.0ms160×0valid
Compiler

Compiled 402 to 331 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (36.6% of total)
ival-log1p: 2.0ms (36.6% of total)
ival-sub: 1.0ms (18.3% of total)
ival-mult: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.7%)

Memory
-42.3MiB live, 9.2MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
53.0ms
-17197971250.12803
-0.24786970325338772
Samples
49.0ms112×0valid
Compiler

Compiled 352 to 301 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 43.0ms (93.1% of total)
ival-exp: 1.0ms (2.2% of total)
ival-log1p: 1.0ms (2.2% of total)
ival-sub: 0.0ms (0% 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
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
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 (43.4% of total)
ival-log1p: 1.0ms (43.4% of total)
ival-mult: 1.0ms (43.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.7MiB allocated; 0ms collecting garbage
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
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
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; 0ms collecting garbage
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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
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)

simplify49.0ms (0.7%)

Memory
-2.3MiB live, 42.1MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064302
191302
2115302
3154302
4292302
51631302
65968302
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 (- (log (+ 1 (exp x))) (* x y)) (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))
Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -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 (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/576460752303423488 binary64)) (not (<=.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)) (*.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)))))
(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)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1152921504606847/576460752303423488 binary64)) (not (<=.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)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))

derivations689.0ms (9.4%)

Memory
36.9MiB live, 504.8MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067199
1212199
2648199
32119199
44395189
57831189
08150155
0211866
1678849
22424828
08505767
0826
01326
14926
233526
3339126
0837522
03482836
112582698
248362614
082212394
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 302 to 66 computations (78.1% saved)

preprocess166.0ms (2.3%)

Memory
-31.5MiB live, 116.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 674 to 184 computations (72.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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