Logistic regression 2

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze111.0ms (1.9%)

Memory
-89.5MiB live, 121.3MiB allocated; 65ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.5s (25.7%)

Memory
114.4MiB live, 1 810.8MiB allocated; 788ms collecting garbage
Samples
648.0ms8 256×0valid
334.0ms2 682×1exit
Precisions
Click to see histograms. Total time spent on operations: 474.0ms
ival-log1p: 206.0ms (43.5% of total)
ival-exp: 114.0ms (24.1% of total)
ival-mult!: 72.0ms (15.2% of total)
adjust: 57.0ms (12% of total)
ival-sub!: 26.0ms (5.5% of total)
Bogosity

preprocess102.0ms (1.7%)

Memory
-37.4MiB live, 56.4MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02460
15558
214258
344258
4562458
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 16 to 16 computations (0% saved)

series86.0ms (1.5%)

Memory
36.1MiB live, 168.3MiB allocated; 33ms collecting garbage
Counts
8 → 29
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
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
28.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
11.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
6.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
5.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite207.0ms (3.5%)

Memory
12.2MiB live, 153.8MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102433
0109424
1563422
04810350
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
37 → 90
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
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) y) x))) (neg.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) y) x)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 y x) y) x (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 y (neg.f64 x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 x (neg.f64 y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
x
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (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 (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (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))))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp 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)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp 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)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#s(approx (log (+ 1 (exp x))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) (neg.f64 y)))

eval14.0ms (0.2%)

Memory
-23.8MiB live, 20.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 752 to 326 computations (56.6% saved)

prune6.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New741084
Fresh000
Picked101
Done000
Total751085
Accuracy
100.0%
Counts
85 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
99.6%
(-.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.9%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
75.8%
#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))))
82.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
99.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
51.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
50.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
50.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 276 to 264 computations (4.3% saved)

series571.0ms (9.7%)

Memory
18.3MiB live, 388.9MiB allocated; 542ms collecting garbage
Counts
27 → 94
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#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)
#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))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
Calls

6 calls:

TimeVariablePointExpression
339.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (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 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)
65.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (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 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)
60.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (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 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)
57.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (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 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)
42.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (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 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) -1)

rewrite303.0ms (5.1%)

Memory
2.3MiB live, 234.3MiB allocated; 147ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02961730
03241637
115711630
084111568
Stop Event
iter-limit
node-limit
iter-limit
Counts
121 → 223
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#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)
#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))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y)
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x)))) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y x)))) (neg.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y x)))) (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 y (neg.f64 x) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))))))
(-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y x)))
(-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))))))
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
(*.f64 y x)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 y x))
(*.f64 (neg.f64 x) y)
(*.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y x)))) (neg.f64 (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)))))
(-.f64 (/.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.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)
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(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)))))
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)
(/.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 y))
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (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 (-.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) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (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))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp 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)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (* (neg x) y) (*.f64 (neg.f64 x) y))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp 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)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (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 (+ (* 1/8 x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (log.f64 #s(literal 2 binary64)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y))
#s(approx (/ (log (- (exp x) -1)) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)))
#s(approx (log (- (exp x) -1)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (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))))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (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)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x) y) x))
#s(approx (log (+ 1 (exp x))) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 (exp x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#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 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (/.f64 y x)) (*.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 x) y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (+.f64 (neg.f64 y) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) x))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (neg.f64 x))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))
#s(approx (log (- (exp x) -1)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (exp x) -1) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) (neg.f64 y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
#s(approx y y)
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (*.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.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) (neg.f64 x)) y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) (neg.f64 x)) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (neg.f64 x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.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)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) x)))

eval58.0ms (1%)

Memory
-8.7MiB live, 36.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 2 790 to 968 computations (65.3% saved)

prune10.0ms (0.2%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New2046210
Fresh235
Picked235
Done000
Total20812220
Accuracy
100.0%
Counts
220 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.8%
(-.f64 (log1p.f64 (+.f64 (cosh.f64 x) (sinh.f64 x))) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.9%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
53.5%
#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))))
82.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
90.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
66.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) y))
90.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
51.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
82.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
50.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
50.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 329 to 317 computations (3.6% saved)

series541.0ms (9.2%)

Memory
21.0MiB live, 623.6MiB allocated; 440ms collecting garbage
Counts
26 → 109
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y)
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
#s(literal -1 binary64)
(-.f64 (log1p.f64 (+.f64 (cosh.f64 x) (sinh.f64 x))) (*.f64 x y))
(log1p.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(cosh.f64 x)
(sinh.f64 x)
(*.f64 x y)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 1))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x) y))))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) (* -1 (* x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
Calls

6 calls:

TimeVariablePointExpression
171.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log (+ 1 (+ (cosh x) (sinh x)))) (+ (cosh x) (sinh x)) (cosh x) (sinh x) (* x y))
126.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log (+ 1 (+ (cosh x) (sinh x)))) (+ (cosh x) (sinh x)) (cosh x) (sinh x) (* x y))
99.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log (+ 1 (+ (cosh x) (sinh x)))) (+ (cosh x) (sinh x)) (cosh x) (sinh x) (* x y))
80.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log (+ 1 (+ (cosh x) (sinh x)))) (+ (cosh x) (sinh x)) (cosh x) (sinh x) (* x y))
57.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log (+ 1 (+ (cosh x) (sinh x)))) (+ (cosh x) (sinh x)) (cosh x) (sinh x) (* x y))

rewrite275.0ms (4.7%)

Memory
0.7MiB live, 310.7MiB allocated; 163ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03672327
03892065
120462022
0101421877
Stop Event
iter-limit
node-limit
iter-limit
Counts
135 → 224
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y)
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
#s(literal -1 binary64)
(-.f64 (log1p.f64 (+.f64 (cosh.f64 x) (sinh.f64 x))) (*.f64 x y))
(log1p.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(cosh.f64 x)
(sinh.f64 x)
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (/ (log 2) y)))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* 1/2 (/ x y)) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 1))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#s(approx (/ (log (- (exp x) -1)) y) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x) y))))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* -1 (* x y))) y)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) (* -1 (* x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
Outputs
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (-.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x)) (fma.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (*.f64 y y)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (fma.f64 x x (*.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (*.f64 y y)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (fma.f64 x x (*.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (*.f64 y y)) (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (fma.f64 x x (*.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) (fma.f64 x x (*.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)))))
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y)
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
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#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* x y) (*.f64 y x))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x) y) x))
#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 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (/.f64 y x)) (*.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 x) y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (+.f64 (neg.f64 y) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) x))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (neg.f64 x))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x))
#s(approx (/ (log (- (exp x) -1)) y) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))
#s(approx (log (- (exp x) -1)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (exp x) -1) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (+ (cosh x) (sinh x)) (exp.f64 x))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64))) x) y) x))
#s(approx (log (+ 1 (+ (cosh x) (sinh x)))) (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64))))
#s(approx (+ (cosh x) (sinh x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sinh x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) (neg.f64 y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) x)) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64))) x)) (neg.f64 y))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (neg y) (neg.f64 y))
#s(approx y y)
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (/.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (fma.f64 (neg.f64 x) y (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) y))
#s(approx (- (/ (log (- (exp x) -1)) y) x) (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64))) y) x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (neg.f64 x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.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)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) x)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64))) y)) (neg.f64 x))))

eval80.0ms (1.4%)

Memory
9.2MiB live, 53.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 2 542 to 853 computations (66.4% saved)

prune8.0ms (0.1%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1802182
Fresh134
Picked055
Done033
Total18113194
Accuracy
100.0%
Counts
194 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.8%
(-.f64 (log1p.f64 (+.f64 (cosh.f64 x) (sinh.f64 x))) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.9%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
82.6%
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
53.5%
#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))))
90.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
66.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) y))
90.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
51.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
82.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
50.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
49.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
50.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 300 to 289 computations (3.7% saved)

series765.0ms (12.9%)

Memory
9.4MiB live, 888.9MiB allocated; 768ms collecting garbage
Counts
40 → 213
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 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(literal 1/8 binary64)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y)
#s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 y x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) y)
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x))
(-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64))
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 x x)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)
Outputs
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 2))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 1))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
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#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
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#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
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#s(approx (- (/ (log (+ (exp x) 1)) (* y x)) 1) #s(hole binary64 -1))
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#s(approx (- 1/2 y) #s(hole binary64 1/2))
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#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
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#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
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#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
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#s(approx (* (- (/ (log (+ (exp x) 1)) (* y x)) 1) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
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#s(approx (+ (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
#s(approx (+ (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (+ (log (+ 1 (exp x))) (* x y)) y)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (* (- (/ (log (+ (exp x) 1)) (* y x)) 1) x) #s(hole binary64 (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* y (- (+ (* -1 x) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))))))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))))))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (- (+ (* -1 x) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (- (+ (* -1 x) (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
#s(approx (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) #s(hole binary64 (- (/ (pow (log (+ 1 (exp x))) 2) (pow y 2)) (pow x 2))))
#s(approx (+ (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ x (/ (log (+ 1 (exp x))) y))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (log (+ 1 (exp x))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) y)))))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log (+ 1 (exp x))) (* -1 (/ (+ (* -1 (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (/ (* (log (+ 1 (exp x))) (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) y))) y)))))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x)) y)) (log (+ 1 (exp x)))) y)))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) y)) (log (+ 1 (exp x)))) y)))))
Calls

6 calls:

TimeVariablePointExpression
201.0ms
x
@inf
((- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (+ x 1) 1 -1 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (* (- (/ (log (+ (exp x) 1)) (* y x)) 1) x) (- (/ (log (+ (exp x) 1)) (* y x)) 1) (/ (log (+ (exp x) 1)) (* y x)) (log (+ (exp x) 1)) (+ (exp x) 1) (exp x) (* y x) (- (log (+ 1 (exp x))) (* x y)) (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (pow (/ (log (- (exp x) -1)) y) 2) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (* x x) (+ (/ (log (- (exp x) -1)) y) x))
186.0ms
x
@-inf
((- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (+ x 1) 1 -1 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (* (- (/ (log (+ (exp x) 1)) (* y x)) 1) x) (- (/ (log (+ (exp x) 1)) (* y x)) 1) (/ (log (+ (exp x) 1)) (* y x)) (log (+ (exp x) 1)) (+ (exp x) 1) (exp x) (* y x) (- (log (+ 1 (exp x))) (* x y)) (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (pow (/ (log (- (exp x) -1)) y) 2) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (* x x) (+ (/ (log (- (exp x) -1)) y) x))
175.0ms
y
@-inf
((- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (+ x 1) 1 -1 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (* (- (/ (log (+ (exp x) 1)) (* y x)) 1) x) (- (/ (log (+ (exp x) 1)) (* y x)) 1) (/ (log (+ (exp x) 1)) (* y x)) (log (+ (exp x) 1)) (+ (exp x) 1) (exp x) (* y x) (- (log (+ 1 (exp x))) (* x y)) (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (pow (/ (log (- (exp x) -1)) y) 2) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (* x x) (+ (/ (log (- (exp x) -1)) y) x))
110.0ms
y
@inf
((- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (+ x 1) 1 -1 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (* (- (/ (log (+ (exp x) 1)) (* y x)) 1) x) (- (/ (log (+ (exp x) 1)) (* y x)) 1) (/ (log (+ (exp x) 1)) (* y x)) (log (+ (exp x) 1)) (+ (exp x) 1) (exp x) (* y x) (- (log (+ 1 (exp x))) (* x y)) (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (pow (/ (log (- (exp x) -1)) y) 2) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (* x x) (+ (/ (log (- (exp x) -1)) y) x))
64.0ms
y
@0
((- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (log (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (+ x 1) 1 -1 (- (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) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) y) x) y) (- (/ (log (- (exp x) -1)) y) x) (* (- (/ (log (+ (exp x) 1)) (* y x)) 1) x) (- (/ (log (+ (exp x) 1)) (* y x)) 1) (/ (log (+ (exp x) 1)) (* y x)) (log (+ (exp x) 1)) (+ (exp x) 1) (exp x) (* y x) (- (log (+ 1 (exp x))) (* x y)) (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (pow (/ (log (- (exp x) -1)) y) 2) (/ (log (- (exp x) -1)) y) (log (- (exp x) -1)) (- (exp x) -1) (* x x) (+ (/ (log (- (exp x) -1)) y) x))

rewrite234.0ms (4%)

Memory
25.2MiB live, 205.8MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07036401
07485257
139595176
083264689
Stop Event
iter-limit
node-limit
iter-limit
Counts
253 → 400
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 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(literal 1/8 binary64)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y)
#s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 y x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) y)
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x))
(-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64))
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 x x)
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (log 2)))
#s(approx (log (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 2))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 1))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log 2)))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log 2) y)))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))))
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#s(approx (- 1/2 y) #s(hole binary64 1/2))
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#s(approx y #s(hole binary64 y))
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#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (log (+ 1 (exp x)))))
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#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (/ (log (+ 1 (exp x))) y)))
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#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (- (/ (log (+ 1 (exp x))) y) x)))
#s(approx (* (- (/ (log (+ (exp x) 1)) (* y x)) 1) x) #s(hole binary64 (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* y (- (+ (* -1 x) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))))))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))))))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (- (+ (* -1 x) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (- (+ (* -1 x) (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))))) (+ (* -1 (/ (log (+ 1 (exp x))) y)) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
#s(approx (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) #s(hole binary64 (- (/ (pow (log (+ 1 (exp x))) 2) (pow y 2)) (pow x 2))))
#s(approx (+ (/ (log (- (exp x) -1)) y) x) #s(hole binary64 (+ x (/ (log (+ 1 (exp x))) y))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) y) x) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (log (+ 1 (exp x))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) y)))))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log (+ 1 (exp x))) (* -1 (/ (+ (* -1 (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (/ (* (log (+ 1 (exp x))) (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) y))) y)))))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x)) y)) (log (+ 1 (exp x)))) y)))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) #s(hole binary64 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log (+ 1 (exp x))) (- (/ (pow (log (+ 1 (exp x))) 2) x) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) y)) (log (+ 1 (exp x)))) y)))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (log.f64 (fma.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(log.f64 (-.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(-.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1 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 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))))) (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)))))
(/.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 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.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)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.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))))
(/.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 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.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))))))
(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 x (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(+.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)))
(+.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 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
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#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (+.f64 (neg.f64 y) #s(literal 1/2 binary64)))
#s(approx y y)
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#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)))
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#s(approx (+ (* 1/8 x) (- 1/2 y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64)))
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#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (*.f64 (+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) y))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (*.f64 (-.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) y))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y y) y) x))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) y))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (-.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (-.f64 (-.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y y) y) x))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))))
#s(approx (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 y y)) (*.f64 x x)))
#s(approx (+ (/ (log (- (exp x) -1)) y) x) (+.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64))) y)) (neg.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (neg.f64 x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.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)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) x)))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) x)))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) y)) y)) x)))
#s(approx (* (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 y x)) #s(literal 0 binary64)) y)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y)) x)))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (+.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y))))
#s(approx (/ (- (pow (/ (log (- (exp x) -1)) y) 2) (* x x)) (+ (/ (log (- (exp x) -1)) y) x)) (+.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 y x)) #s(literal 0 binary64)) y)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y))))

eval63.0ms (1.1%)

Memory
-14.8MiB live, 75.6MiB allocated; 24ms collecting garbage
Compiler

Compiled 5 730 to 2 082 computations (63.7% saved)

prune13.0ms (0.2%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New3445349
Fresh000
Picked415
Done088
Total34814362
Accuracy
100.0%
Counts
362 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.8%
(-.f64 (log1p.f64 (+.f64 (cosh.f64 x) (sinh.f64 x))) (*.f64 x y))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
90.9%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
50.8%
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
34.9%
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
53.5%
#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))))
90.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
58.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) x)) y))
90.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
51.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
73.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (+ (exp x) 1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
50.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
49.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
50.4%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 481 to 374 computations (22.2% saved)

regimes51.0ms (0.9%)

Memory
-10.8MiB live, 43.6MiB allocated; 23ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh 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)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
#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)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (+ (exp x) 1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
(-.f64 (log1p.f64 (+.f64 (cosh.f64 x) (sinh.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(approx (/ (log (- (exp x) -1)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) y))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

37.0ms
x
6.0ms
y
6.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.6%1x
99.6%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes23.0ms (0.4%)

Memory
-8.0MiB live, 38.4MiB allocated; 11ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh 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)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
#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)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (+ (exp x) 1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

13.0ms
x
5.0ms
y
4.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.6%1x
99.6%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes19.0ms (0.3%)

Memory
1.2MiB live, 47.5MiB allocated; 6ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh 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)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
#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)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) y) x) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (+ (exp x) 1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) x)) y))
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

3 calls:

9.0ms
x
4.0ms
y
4.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.7%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.6%2x
90.9%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes4.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh 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)) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x) y))
#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:

4.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* 1/8 x) (- 1/2 y)) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 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:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory
-34.5MiB live, 11.8MiB allocated; 6ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 #s(approx (+ (cosh x) (sinh x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

2 calls:

7.0ms
x
2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.8%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
85.0%2x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
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(approx (- (+ (cosh x) (sinh x)) -1) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

1 calls:

2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.8%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (+ (cosh x) (sinh x)))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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:

1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.7%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Accuracy

Total -10.9b remaining (-35.1%)

Threshold costs -10.9b (-35.1%)

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

3 calls:

1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
51.7%1x
51.7%1y
51.7%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch28.0ms (0.5%)

Memory
-18.6MiB live, 29.0MiB allocated; 19ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-60733.48361362064
-3.907400438450223
Samples
6.0ms128×0valid
Compiler

Compiled 228 to 243 computations (-6.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (30.2% of total)
ival-log1p: 1.0ms (30.2% of total)
ival-mult!: 1.0ms (30.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
32.5MiB live, 32.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-3.907400438450223
-8.683197270872389e-7
Samples
7.0ms144×0valid
Compiler

Compiled 237 to 254 computations (-7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (48.4% of total)
ival-log1p: 1.0ms (24.2% of total)
ival-mult!: 1.0ms (24.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-60733.48361362064
-3.907400438450223
Compiler

Compiled 252 to 267 computations (-6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-60733.48361362064
-3.907400438450223
Compiler

Compiled 180 to 195 computations (-8.3% saved)

bsearch8.0ms (0.1%)

Memory
-46.2MiB live, 0.8MiB allocated; 9ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6940016294298179
183906.7135902016
0.0ms
0.019893471552505353
0.6931471805599385
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6940016294298179
183906.7135902016
0.0ms
0.019893471552505353
0.6931471805599385
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6940016294298179
183906.7135902016
0.0ms
0.0021408728657695748
0.019893471552505353
Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations635.0ms (10.7%)

Memory
20.4MiB live, 322.3MiB allocated; 607ms collecting garbage
Stop Event
fuel
Compiler

Compiled 124 to 80 computations (35.5% saved)

preprocess136.0ms (2.3%)

Memory
-17.9MiB live, 208.0MiB allocated; 116ms collecting garbage
Compiler

Compiled 153 to 106 computations (30.7% saved)

end0.0ms (0%)

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

Profiling

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