Logistic regression 2

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze64.0ms (2.2%)

Memory
43.1MiB live, 92.0MiB allocated; 5ms 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)

sample1.1s (37.2%)

Memory
-12.1MiB live, 1 272.1MiB allocated; 231ms collecting garbage
Samples
468.0ms8 256×0valid
222.0ms2 659×1exit
Precisions
Click to see histograms. Total time spent on operations: 443.0ms
ival-exp: 188.0ms (42.4% of total)
ival-log1p: 109.0ms (24.6% of total)
ival-mult!: 60.0ms (13.5% of total)
adjust: 58.0ms (13.1% of total)
ival-sub!: 27.0ms (6.1% of total)
Bogosity

preprocess42.0ms (1.4%)

Memory
-20.1MiB live, 30.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02460
15458
213058
329458
4117858
5570558
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)

series56.0ms (1.9%)

Memory
33.3MiB live, 78.8MiB allocated; 4ms 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
26.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
23.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
3.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
1.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite181.0ms (6.2%)

Memory
28.7MiB live, 203.8MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102433
0109424
1563422
04887350
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 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.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)))

eval41.0ms (1.4%)

Memory
-11.3MiB live, 31.1MiB allocated; 15ms collecting garbage
Compiler

Compiled 753 to 327 computations (56.6% saved)

prune29.0ms (1%)

Memory
-36.0MiB live, 22.9MiB allocated; 28ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New76985
Fresh000
Picked101
Done000
Total77986
Accuracy
99.7%
Counts
86 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.8%
(/.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)))))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.6%
(-.f64 (log.f64 (/.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)))) (*.f64 x y))
89.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
74.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
80.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
50.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
51.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
50.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 224 to 218 computations (2.7% saved)

series107.0ms (3.7%)

Memory
14.1MiB live, 104.8MiB allocated; 15ms collecting garbage
Counts
30 → 100
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))
(-.f64 (log.f64 (/.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)))) (*.f64 x y))
(log.f64 (/.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))))
(/.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)))
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 2))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 2))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 (+ 2 (* 3 x))))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 (+ 2 (* x (+ 3 (* 9/2 x))))))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 (+ 2 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp (* x 3)) #s(hole binary64 1))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 1))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 3/2 x))))))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 3/2 (* 7/6 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* x (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x) y))))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 (+ 1 (exp (* 3 x)))))
#s(approx (exp (* x 3)) #s(hole binary64 (exp (* 3 x))))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 (+ 1 (* (exp x) (- (exp x) 1)))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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 (+ (* (+ (* 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) (* -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 (- 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* y (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) (+ (exp (* x 3)) 1) (exp (* x 3)) (* x 3) 3 1 (+ (* (exp x) (- (exp x) 1)) 1) (- (exp x) 1))
27.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) (+ (exp (* x 3)) 1) (exp (* x 3)) (* x 3) 3 1 (+ (* (exp x) (- (exp x) 1)) 1) (- (exp x) 1))
9.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) (+ (exp (* x 3)) 1) (exp (* x 3)) (* x 3) 3 1 (+ (* (exp x) (- (exp x) 1)) 1) (- (exp x) 1))
8.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) (+ (exp (* x 3)) 1) (exp (* x 3)) (* x 3) 3 1 (+ (* (exp x) (- (exp x) 1)) 1) (- (exp x) 1))
4.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) (+ (exp (* x 3)) 1) (exp (* x 3)) (* x 3) 3 1 (+ (* (exp x) (- (exp x) 1)) 1) (- (exp x) 1))

rewrite168.0ms (5.7%)

Memory
39.7MiB live, 129.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03181912
03481839
117111838
081461717
Stop Event
iter-limit
node-limit
iter-limit
Counts
130 → 295
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))
(-.f64 (log.f64 (/.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)))) (*.f64 x y))
(log.f64 (/.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))))
(/.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)))
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 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 (+ 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 2))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 2))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 (+ 2 (* 3 x))))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 (+ 2 (* x (+ 3 (* 9/2 x))))))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 (+ 2 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp (* x 3)) #s(hole binary64 1))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (exp (* x 3)) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 1))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 3/2 x))))))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 3/2 (* 7/6 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* x (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x) y))))
#s(approx (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1)) #s(hole binary64 (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (+ (exp (* x 3)) 1) #s(hole binary64 (+ 1 (exp (* 3 x)))))
#s(approx (exp (* x 3)) #s(hole binary64 (exp (* 3 x))))
#s(approx (+ (* (exp x) (- (exp x) 1)) 1) #s(hole binary64 (+ 1 (* (exp x) (- (exp x) 1)))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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 (+ (* (+ (* 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) (* -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 (- 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* y (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) y)) (* -1 x))))))
Outputs
(/.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 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) (neg.f64 x)) (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 (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 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 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (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 (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) (neg.f64 x))))) (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 (-.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 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 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (+.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 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) (neg.f64 x)))) (+.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)))))
(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 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 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 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 y y) y) (*.f64 (*.f64 x x) x)) (+.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 y y) y) (*.f64 (*.f64 x x) (neg.f64 x))) (+.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 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 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 y y) y) (*.f64 (*.f64 x x) (neg.f64 x)))) (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))))
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#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) x)) (neg.f64 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 (+ (* (+ (* 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (-.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (*.f64 y x)))
#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) y) x) 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 (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) y)) (neg.f64 x))))

eval47.0ms (1.6%)

Memory
-1.8MiB live, 45.3MiB allocated; 2ms collecting garbage
Compiler

Compiled 4 215 to 1 301 computations (69.1% saved)

prune13.0ms (0.4%)

Memory
-30.0MiB live, 16.5MiB allocated; 2ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2847291
Fresh314
Picked235
Done000
Total28911300
Accuracy
99.7%
Counts
300 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.3%
(/.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)))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
89.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
80.2%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
51.1%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
50.7%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
54.0%
#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))))
89.2%
#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))))
50.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
51.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
6.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
Compiler

Compiled 355 to 329 computations (7.3% saved)

series49.0ms (1.7%)

Memory
19.6MiB live, 66.3MiB allocated; 2ms collecting garbage
Counts
28 → 108
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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)
#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)
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (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 (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 2))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 2))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 (+ 2 (* 3 x))))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3 (* 9/2 x))))))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp (* 3 x)) #s(hole binary64 1))
#s(approx (exp (* 3 x)) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (exp (* 3 x)) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (exp (* 3 x)) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (* 3 x) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 3/2 x))))))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 3/2 (* 7/6 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (+ (* (+ (* 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* x (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) 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 (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 (+ 1 (exp (* 3 x)))))
#s(approx (exp (* 3 x)) #s(hole binary64 (exp (* 3 x))))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 (+ 1 (* (exp x) (- (exp x) 1)))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 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 (+ 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* y (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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 (* -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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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)))))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ (exp (* 3 x)) 1) (exp (* 3 x)) (* 3 x) 3 1 (+ (* (- (exp x) 1) (exp x)) 1) (- (exp x) 1))
15.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ (exp (* 3 x)) 1) (exp (* 3 x)) (* 3 x) 3 1 (+ (* (- (exp x) 1) (exp x)) 1) (- (exp x) 1))
5.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ (exp (* 3 x)) 1) (exp (* 3 x)) (* 3 x) 3 1 (+ (* (- (exp x) 1) (exp x)) 1) (- (exp x) 1))
4.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ (exp (* 3 x)) 1) (exp (* 3 x)) (* 3 x) 3 1 (+ (* (- (exp x) 1) (exp x)) 1) (- (exp x) 1))
4.0ms
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) -1 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ (exp (* 3 x)) 1) (exp (* 3 x)) (* 3 x) 3 1 (+ (* (- (exp x) 1) (exp x)) 1) (- (exp x) 1))

rewrite204.0ms (7%)

Memory
13.1MiB live, 152.5MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492219
03742126
119182124
090711912
Stop Event
iter-limit
node-limit
iter-limit
Counts
136 → 242
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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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)
#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)
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 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 (+ (* (+ (* 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (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 (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 2))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 2))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 (+ 2 (* 3 x))))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3 (* 9/2 x))))))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (exp (* 3 x)) #s(hole binary64 1))
#s(approx (exp (* 3 x)) #s(hole binary64 (+ 1 (* 3 x))))
#s(approx (exp (* 3 x)) #s(hole binary64 (+ 1 (* x (+ 3 (* 9/2 x))))))
#s(approx (exp (* 3 x)) #s(hole binary64 (+ 1 (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))))))
#s(approx (* 3 x) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 3/2 x))))))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 3/2 (* 7/6 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (+ (* (+ (* 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* x (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) 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 (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (+ (exp (* 3 x)) 1) #s(hole binary64 (+ 1 (exp (* 3 x)))))
#s(approx (exp (* 3 x)) #s(hole binary64 (exp (* 3 x))))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) #s(hole binary64 (+ 1 (* (exp x) (- (exp x) 1)))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 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 (+ 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* y (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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 (* -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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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)))))))
Outputs
#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))))
(/.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)))))
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#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) x) y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
#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 (exp x) (exp.f64 x))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))
#s(approx (+ (exp (* 3 x)) 1) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp (* 3 x)) (exp.f64 (*.f64 #s(literal 3 binary64) x)))
#s(approx (+ (* (- (exp x) 1) (exp x)) 1) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) x)) (neg.f64 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) 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 (+ (* (+ (* 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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (-.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (*.f64 y x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 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 (+ 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 (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 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) y) x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) 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 (+ 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 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.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))))

eval26.0ms (0.9%)

Memory
-11.9MiB live, 33.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 049 to 1 127 computations (63% saved)

prune10.0ms (0.3%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New2174221
Fresh213
Picked145
Done033
Total22012232
Accuracy
99.7%
Counts
232 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.3%
(/.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)))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
89.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
50.9%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
51.1%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
49.6%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
50.7%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
31.7%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
54.0%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (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)))))
89.2%
#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))))
50.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
51.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
Compiler

Compiled 383 to 341 computations (11% saved)

series80.0ms (2.7%)

Memory
-11.9MiB live, 87.2MiB allocated; 9ms collecting garbage
Counts
29 → 107
Calls
Call 1
Inputs
(/.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 (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))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y x)
y
x
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) x)
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (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 (* 3 x)) 1) (+ (* (- (exp x) 1) (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))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
Outputs
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (log 2)))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (* 1/4 (/ 1 (log 2)))) (+ (/ (* (+ 1/2 y) (- 1/2 y)) (log 2)) (/ (pow y 2) (log 2)))))) y)))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (+ (* 1/4 (/ 1 (log 2))) (* x (- (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ (- 1/2 y) (log 2))) (/ (* (+ 1/2 y) (- (+ 1/8 (* 1/4 (/ 1 (log 2)))) (+ (/ (* (+ 1/2 y) (- 1/2 y)) (log 2)) (/ (pow y 2) (log 2))))) (log 2))))))) (+ (/ (* (+ 1/2 y) (- 1/2 y)) (log 2)) (/ (pow y 2) (log 2)))))) y)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (+ (* x (log 2)) (pow (log 2) 2))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (+ (* x (+ (log 2) (* x (- (+ 1/4 (* 1/4 (log 2))) (pow y 2))))) (pow (log 2) 2))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (+ (* x (+ (log 2) (* x (- (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2)))) (pow y 2))))) (pow (log 2) 2))))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (+ (* x (log 2)) (pow (log 2) 2))))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))))
#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 (* (* y x) (* y x)) #s(hole binary64 (* (pow x 2) (pow y 2))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (log 2)))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 y)))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ y (* 1/8 x)))))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ y (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 2))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ 2 x) #s(hole binary64 2))
#s(approx (+ 2 x) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (* -1 (* (pow x 2) (pow y 2)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (* (pow x 2) (- (/ (pow (log (+ 1 (exp x))) 2) (pow x 2)) (pow y 2)))))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (pow (log (+ 1 (exp x))) 2)))
#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 (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* x (+ y (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* x (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (+ 2 x) #s(hole binary64 x))
#s(approx (+ 2 x) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* x (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) x))))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (pow (log (+ 1 (exp x))) 2)))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (+ (* -1 (* (pow x 2) (pow y 2))) (pow (log (+ 1 (exp x))) 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* x y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 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 (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (* (pow y 2) (- (/ (pow (log (+ 1 (exp x))) 2) (pow y 2)) (pow x 2)))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* y (+ x (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* y (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x 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))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
((/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* (* y x) (* y x)) (* y x) y x (+ (log (+ 1 (exp x))) (* y x)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ 2 x) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) (+ (* 1/8 x) 1/2) 1/8)
22.0ms
x
@inf
((/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* (* y x) (* y x)) (* y x) y x (+ (log (+ 1 (exp x))) (* y x)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ 2 x) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) (+ (* 1/8 x) 1/2) 1/8)
13.0ms
y
@0
((/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* (* y x) (* y x)) (* y x) y x (+ (log (+ 1 (exp x))) (* y x)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ 2 x) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) (+ (* 1/8 x) 1/2) 1/8)
8.0ms
y
@inf
((/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* (* y x) (* y x)) (* y x) y x (+ (log (+ 1 (exp x))) (* y x)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ 2 x) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) (+ (* 1/8 x) 1/2) 1/8)
5.0ms
y
@-inf
((/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* (* y x) (* y x)) (* y x) y x (+ (log (+ 1 (exp x))) (* y x)) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+ 2 x) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) (+ (* 1/8 x) 1/2) 1/8)

rewrite182.0ms (6.2%)

Memory
-15.2MiB live, 125.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03832955
04042553
122942538
091922150
Stop Event
iter-limit
node-limit
iter-limit
Counts
136 → 265
Calls
Call 1
Inputs
(/.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 (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))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y x)
y
x
(+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) x)
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (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 (* 3 x)) 1) (+ (* (- (exp x) 1) (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))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (log 2)))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (* 1/4 (/ 1 (log 2)))) (+ (/ (* (+ 1/2 y) (- 1/2 y)) (log 2)) (/ (pow y 2) (log 2)))))) y)))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (+ (* 1/4 (/ 1 (log 2))) (* x (- (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ (- 1/2 y) (log 2))) (/ (* (+ 1/2 y) (- (+ 1/8 (* 1/4 (/ 1 (log 2)))) (+ (/ (* (+ 1/2 y) (- 1/2 y)) (log 2)) (/ (pow y 2) (log 2))))) (log 2))))))) (+ (/ (* (+ 1/2 y) (- 1/2 y)) (log 2)) (/ (pow y 2) (log 2)))))) y)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (+ (* x (log 2)) (pow (log 2) 2))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (+ (* x (+ (log 2) (* x (- (+ 1/4 (* 1/4 (log 2))) (pow y 2))))) (pow (log 2) 2))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (+ (* x (+ (log 2) (* x (- (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2)))) (pow y 2))))) (pow (log 2) 2))))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (+ (* x (log 2)) (pow (log 2) 2))))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))))
#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 (* (* y x) (* y x)) #s(hole binary64 (* (pow x 2) (pow y 2))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (log 2)))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 y)))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ y (* 1/8 x)))))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ y (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (log 2)))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 2))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ 2 x) #s(hole binary64 2))
#s(approx (+ 2 x) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (* -1 (* (pow x 2) (pow y 2)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (* (pow x 2) (- (/ (pow (log (+ 1 (exp x))) 2) (pow x 2)) (pow y 2)))))
#s(approx (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) #s(hole binary64 (pow (log (+ 1 (exp x))) 2)))
#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 (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* x (+ y (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* x (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1))) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) #s(hole binary64 (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))))
#s(approx (+ 2 x) #s(hole binary64 x))
#s(approx (+ 2 x) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))))))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* x (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) x))))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (pow (log (+ 1 (exp x))) 2)))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (+ (* -1 (* (pow x 2) (pow y 2))) (pow (log (+ 1 (exp x))) 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* x y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (+ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 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 (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) #s(hole binary64 (* (pow y 2) (- (/ (pow (log (+ 1 (exp x))) 2) (pow y 2)) (pow x 2)))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* y (+ x (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* y (- (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x 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))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (/ (+ 1 (exp (* 3 x))) (+ 1 (* (exp x) (- (exp x) 1))))) 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) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y x (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))))) (neg.f64 (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 y x (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)))) (neg.f64 (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 y x (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))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(-.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)))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(+.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)))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 y x (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 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))) (*.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 (neg.f64 x) y) (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (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))) (*.f64 (*.f64 (*.f64 y x) y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.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 (*.f64 y x) y) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 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))) (*.f64 (*.f64 (*.f64 y x) y) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.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 (*.f64 y x) y) x)))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (neg.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)))
(fma.f64 (fabs.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (fabs.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)))
(fma.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)))
(fma.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)))
(fma.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)))
(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 (neg.f64 x) y) (*.f64 y x)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 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))) (*.f64 (*.f64 (*.f64 y x) y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 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))) (*.f64 (*.f64 (*.f64 y x) y) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.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 (*.f64 y x) y) x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.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 (*.f64 y x) y) x))))))
(-.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 (*.f64 y x) y) x))
(+.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 (neg.f64 x) y) (*.f64 y x)))
(*.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (neg.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))) (fabs.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)) (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (neg.f64 (fabs.f64 (*.f64 y x))) (neg.f64 (fabs.f64 (*.f64 y x))))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (*.f64 (neg.f64 x) y)))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 y x))) (fabs.f64 (fabs.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x))
(*.f64 (*.f64 (*.f64 y x) y) x)
(*.f64 (fabs.f64 (*.f64 y x)) (fabs.f64 (*.f64 y x)))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))
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#s(approx (+ (log (+ 1 (exp x))) (* y x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) x)) (neg.f64 y))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) x)) (neg.f64 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))))
#s(approx (+ (* (+ (* 1/8 x) 1/2) x) (log 2)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) x)) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (fma.f64 (neg.f64 x) y (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) x)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx y y)
#s(approx (+ (log (+ 1 (exp x))) (* y x)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) (fma.f64 y x (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (-.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (*.f64 y x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
#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 (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (*.f64 (+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) y))
#s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))) y) x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (+.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y))
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) 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 (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) x)))
#s(approx (+ (log (+ 1 (exp x))) (* y x)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 x) (neg.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.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) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))

eval27.0ms (0.9%)

Memory
36.4MiB live, 36.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 752 to 1 164 computations (69% saved)

prune19.0ms (0.6%)

Memory
-26.2MiB live, 19.6MiB allocated; 3ms collecting garbage
Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New2643267
Fresh000
Picked145
Done077
Total26514279
Accuracy
99.9%
Counts
279 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.3%
(/.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))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
50.7%
(/.f64 #s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) x))) (+.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 y x)))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
89.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
50.9%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
51.1%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
49.6%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
50.7%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
31.7%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
3.6%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
54.0%
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (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)))))
89.2%
#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))))
50.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
51.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
Compiler

Compiled 556 to 405 computations (27.2% saved)

regimes20.0ms (0.7%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (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 (+ 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))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 #s(approx (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) 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))) (fma.f64 y x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(/.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)))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (/.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)))) (*.f64 x y))
(/.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)))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

7.0ms
y
6.0ms
x
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)

regimes29.0ms (1%)

Memory
-28.5MiB live, 17.8MiB allocated; 3ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (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 (+ 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))))
(-.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:

18.0ms
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)

regimes14.0ms (0.5%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (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 (+ 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))))
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:

5.0ms
y
5.0ms
x
4.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.4%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.3%2x
89.2%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes5.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (log (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (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)))))
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
99.0%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #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
98.8%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.8%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.2%)

Memory
-37.9MiB live, 8.6MiB allocated; 1ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp x)) 1)) (+.f64 #s(literal 2 binary64) x))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.5%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
84.9%2x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(approx (/ (+ (exp (* 3 x)) 1) (+ (* (- (exp x) 1) (exp 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
97.5%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 (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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 (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
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:

2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.3%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.2%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* 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:

2.0ms
x
1.0ms
y
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
50.3%1x
50.3%1y
50.3%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
Outputs
#s(approx (- (log (/ (+ (exp (* x 3)) 1) (+ (* (exp x) (- (exp x) 1)) 1))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
Calls

3 calls:

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

Compiled 10 to 12 computations (-20% saved)

bsearch13.0ms (0.4%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-3456588.5382326553
-0.2178925258666506
Samples
7.0ms144×0valid
Compiler

Compiled 255 to 272 computations (-6.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (52.8% of total)
ival-log1p: 1.0ms (26.4% of total)
ival-mult!: 1.0ms (26.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch11.0ms (0.4%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-3456588.5382326553
-0.2178925258666506
Samples
6.0ms112×0valid
Compiler

Compiled 237 to 254 computations (-7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (31% of total)
ival-log1p: 1.0ms (31% of total)
ival-mult!: 1.0ms (31% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3456588.5382326553
-0.2178925258666506
Compiler

Compiled 282 to 299 computations (-6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3456588.5382326553
-0.2178925258666506
Compiler

Compiled 201 to 218 computations (-8.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6971317859189521
1.7926349457220092
0.0ms
0.014159048373314349
0.4520819672689256
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6971317859189521
1.7926349457220092
0.0ms
0.014159048373314349
0.4520819672689256
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch3.0ms (0.1%)

Memory
-47.9MiB live, 0.3MiB allocated; 6ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6971317859189521
1.7926349457220092
2.0ms
0.014159048373314349
0.4520819672689256
Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations271.0ms (9.2%)

Memory
29.2MiB live, 162.7MiB allocated; 18ms collecting garbage
Stop Event
fuel
Compiler

Compiled 147 to 90 computations (38.8% saved)

preprocess99.0ms (3.4%)

Memory
-25.2MiB live, 128.2MiB allocated; 23ms collecting garbage
Compiler

Compiled 176 to 116 computations (34.1% saved)

end0.0ms (0%)

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

Profiling

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