Logistic regression 2

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze66.0ms (1.8%)

Memory
-10.2MiB live, 77.4MiB allocated; 10ms 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)

sample1.4s (38.7%)

Memory
30.7MiB live, 1 189.7MiB allocated; 1.0s collecting garbage
Samples
794.0ms8 256×0valid
246.0ms2 750×1exit
Precisions
Click to see histograms. Total time spent on operations: 454.0ms
ival-exp: 126.0ms (27.8% of total)
ival-log1p: 112.0ms (24.7% of total)
ival-sub!: 97.0ms (21.4% of total)
ival-mult!: 69.0ms (15.2% of total)
adjust: 50.0ms (11% of total)
Bogosity

preprocess47.0ms (1.3%)

Memory
-22.9MiB live, 33.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02459
18858
226858
3104358
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 16 to 16 computations (0% saved)

series151.0ms (4.2%)

Memory
31.0MiB live, 116.8MiB allocated; 24ms collecting garbage
Counts
8 → 27
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
#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) (* 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))) (* -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
111.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
27.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
8.0ms
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)
2.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite261.0ms (7.2%)

Memory
18.4MiB live, 199.6MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100410
0107395
1644395
25481395
08338329
125771329
Stop Event
saturated
node-limit
iter-limit
Counts
35 → 85
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) (* 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))) (* -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
(neg.f64 (-.f64 (*.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 (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 (neg.f64 x) y) (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(+.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 (neg.f64 (neg.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(log.f64 (fabs.f64 (fabs.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(log.f64 (fabs.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(neg.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64)))) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))) (sinh.f64 x))
(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 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.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) (neg.f64 (neg.f64 (exp.f64 x))))
(+.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))
(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)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) x)) (sinh.f64 (+.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.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))) (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 x #s(literal -2 binary64)))
#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 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#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 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))

eval8.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 496 to 288 computations (41.9% saved)

prune7.0ms (0.2%)

Memory
-37.7MiB live, 8.6MiB allocated; 3ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New69877
Fresh000
Picked101
Done000
Total70878
Accuracy
100.0%
Counts
78 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
100.0%
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
90.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
77.6%
#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))))
83.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
99.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
49.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
52.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 184 to 184 computations (0% saved)

series56.0ms (1.5%)

Memory
-0.7MiB live, 58.0MiB allocated; 17ms collecting garbage
Counts
27 → 65
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 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)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)))
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) x)))
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)))
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y)))
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (log (+ 1 (exp x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) 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) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
#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 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) 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 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x 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 (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
Calls

6 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1)
16.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1)
5.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1)
3.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1)
3.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log (- (exp x) -1)) x) (log (- (exp x) -1)) (- (exp x) -1) -1)

rewrite231.0ms (6.4%)

Memory
47.2MiB live, 175.3MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441243
02701132
115391125
081451085
1273821085
Stop Event
saturated
node-limit
iter-limit
Counts
92 → 172
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 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)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)))
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* 1/2 x)) x)))
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)))
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y)))
#s(approx (/ (log (- (exp x) -1)) x) #s(hole binary64 (/ (log (+ 1 (exp x))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) 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) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
#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 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) 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 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x 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 (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
Outputs
(neg.f64 (-.f64 (*.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 (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 (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))) (neg.f64 (*.f64 (neg.f64 x) y)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(+.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))
(log.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))))
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.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)
(neg.f64 (-.f64 (*.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 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y))
(log.f64 (fabs.f64 (fabs.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))))
(log.f64 (fabs.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)
#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 x (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))
(neg.f64 (-.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (neg.f64 y))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) y))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)))
#s(literal 1/8 binary64)
(neg.f64 (-.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(-.f64 #s(literal 1/2 binary64) y)
(+.f64 (neg.f64 y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 y))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x)
(*.f64 x (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))
(fma.f64 (neg.f64 y) x (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) x))
(fma.f64 x (neg.f64 y) (*.f64 x (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 x (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) x))
(neg.f64 (-.f64 y (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(fma.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(fma.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (neg.f64 y))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(-.f64 (neg.f64 y) (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)
(+.f64 (neg.f64 y) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (neg.f64 y))
(*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)
(log1p.f64 (exp.f64 x))
(log.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))))
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal -1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (* (neg x) y) (*.f64 (neg.f64 x) y))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (/ (log (- (exp x) -1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (/ (log (- (exp x) -1)) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (/ (log (- (exp x) -1)) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#s(approx (log (+ 1 (exp x))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x))) (/.f64 y x)) (*.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (neg.f64 y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))
#s(approx (/ (log (- (exp x) -1)) x) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) 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 (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 x) (-.f64 y (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))))
#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)) (+.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)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 (-.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)) (*.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) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (-.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))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 y) (-.f64 x (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)))))

eval44.0ms (1.2%)

Memory
-18.0MiB live, 44.2MiB allocated; 48ms collecting garbage
Compiler

Compiled 1 239 to 623 computations (49.7% saved)

prune10.0ms (0.3%)

Memory
-25.8MiB live, 21.0MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1505155
Fresh033
Picked235
Done000
Total15211163
Accuracy
100.0%
Counts
163 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
67.8%
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y))
100.0%
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
90.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
54.6%
#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))))
83.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
49.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
52.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
83.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
52.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
5.7%
#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 283 to 279 computations (1.4% saved)

series216.0ms (6%)

Memory
7.9MiB live, 195.8MiB allocated; 22ms collecting garbage
Counts
28 → 75
Calls
Call 1
Inputs
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
Outputs
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (log 2)))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#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 x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (log 2) (* x y))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x)))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) 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 x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 -1))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (- (/ (log (+ 1 (exp x))) (* x y)) 1)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (log (+ 1 (exp x))) (* x y))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log (+ 1 (exp x))) x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* -1 y) (/ (log (+ 1 (exp x))) x)) y)))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#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 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#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)))))))
Calls

6 calls:

TimeVariablePointExpression
88.0ms
y
@0
((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (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 (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1)
49.0ms
x
@inf
((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (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 (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1)
30.0ms
x
@0
((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (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 (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1)
19.0ms
x
@-inf
((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (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 (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1)
16.0ms
y
@-inf
((- (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (* y x) y (- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (/ (log 2) x) (- (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 (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) 1)

rewrite211.0ms (5.9%)

Memory
8.4MiB live, 194.0MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02931775
03181687
119891680
080331443
1271071443
Stop Event
saturated
node-limit
iter-limit
Counts
103 → 152
Calls
Call 1
Inputs
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(*.f64 y x)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (log 2)))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#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 x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (log 2) (* x y))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x)))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) 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 x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 -1))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (- (/ (log (+ 1 (exp x))) (* x y)) 1)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (log (+ 1 (exp x))) (* x y))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log (+ 1 (exp x))) x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* -1 y) (/ (log (+ 1 (exp x))) x)) y)))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#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 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (log (- (exp x) -1)) (* y x)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#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)))))))
Outputs
(neg.f64 (-.f64 (*.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 #s(literal -1 binary64) (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.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))) (neg.f64 (*.f64 (neg.f64 x) y)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(+.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 y) x))
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
(log1p.f64 (exp.f64 x))
(log.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))))
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal -1 binary64)
(*.f64 y x)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)
(*.f64 x #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(+.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
#s(literal 1/8 binary64)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)
(*.f64 x #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))))
(fma.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64))
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal -1 binary64))
(*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (neg.f64 (*.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y)) (neg.f64 x))
(/.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)
(/.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) (neg.f64 y))
(/.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y)
(/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* y x) (*.f64 y x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x))
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.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 (/ (log (- (exp x) -1)) (* y x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) 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 (- (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 x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (neg.f64 y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (/.f64 y x)) (*.f64 x x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) x))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(literal -1 binary64))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y 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 (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) 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 (+ 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 (- (exp x) -1)) x) y) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
#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)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) 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 (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) 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)) (*.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) (*.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) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x))))
#s(approx (* (- (/ (log (- (exp x) -1)) 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 (- (exp x) -1)) x) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) #s(literal 1 binary64))))
#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))))

eval15.0ms (0.4%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 548 to 753 computations (51.4% saved)

prune73.0ms (2%)

Memory
-36.7MiB live, 9.6MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New1461147
Fresh033
Picked145
Done033
Total14711158
Accuracy
100.0%
Counts
158 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
67.8%
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y))
100.0%
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
90.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
54.6%
#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))))
83.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
49.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
52.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
74.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
52.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
5.7%
#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 156 to 152 computations (2.6% saved)

series72.0ms (2%)

Memory
-2.3MiB live, 142.8MiB allocated; 16ms collecting garbage
Counts
28 → 74
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x))
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y x)
y
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y))
(log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x y)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (* (* x x) 1/8) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (log 2) (* x y))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x)))
#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 (* y x) #s(hole binary64 (* x y)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (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 (* (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 (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 -1))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (- (/ (log (+ 1 (exp x))) (* x y)) 1)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (log (+ 1 (exp x))) (* 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 (+ (* (- 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 (exp x) #s(hole binary64 (exp x)))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#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))) (* -1 (* x y)))))
#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 (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log (+ 1 (exp x))) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* -1 y) (/ (log (+ 1 (exp x))) x)) y)))
#s(approx y #s(hole binary64 y))
#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 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#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 (* 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 (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#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
16.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y))
16.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y))
14.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y))
12.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y))
9.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (* x x) 1/8) (* x x) x 1/8 (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (- (exp x) -1)) x) y) x) (- (/ (log (- (exp x) -1)) x) y) (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (- (/ (log (- (exp x) -1)) (* y x)) 1) (/ (log (- (exp x) -1)) (* y x)) (log (- (exp x) -1)) (- (exp x) -1) 2 (* y x) y 1 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 (log 2) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) (+ 1 x) (* x y))

rewrite252.0ms (7%)

Memory
22.9MiB live, 213.1MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981750
03141671
120541655
085321452
1291251452
Stop Event
saturated
node-limit
iter-limit
Counts
102 → 155
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x))
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y x)
y
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y))
(log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (* (* x x) 1/8) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log 2) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- 1/2 y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1)))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1))))) x)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (/ (+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1))))) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (log 2) (* x y))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y)) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y)) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (+ (* x (+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ (log 2) y)) x)))
#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 (* y x) #s(hole binary64 (* x y)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (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 (* (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 (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (- (/ (log (+ 1 (exp x))) x) y)))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) #s(hole binary64 (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 -1))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (- (/ (log (+ 1 (exp x))) (* x y)) 1)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) #s(hole binary64 (/ (log (+ 1 (exp x))) (* 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 (+ (* (- 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 (exp x) #s(hole binary64 (exp x)))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#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))) (* -1 (* x y)))))
#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 (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (/ (log (+ 1 (exp x))) x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(hole binary64 (/ (+ (* -1 y) (/ (log (+ 1 (exp x))) x)) y)))
#s(approx y #s(hole binary64 y))
#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 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))))
#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 (* 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 (* (- (/ (log (- (exp x) -1)) x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (- (/ (log (- (exp x) -1)) x) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))))
#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)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/8 binary64) x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
x
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
(*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x)
(*.f64 x #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x))))
(fma.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64))
(+.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal -1 binary64))
(*.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 x) y)))
(/.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) y) x)
(/.f64 (neg.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) y))
(/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x))
(log.f64 (fabs.f64 (fabs.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))))
(log.f64 (fabs.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))))
(log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y x)
(*.f64 x y)
y
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(neg.f64 (-.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(-.f64 #s(literal 1/2 binary64) y)
(+.f64 (neg.f64 y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 y))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
(neg.f64 (-.f64 (*.f64 y x) (log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
(log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))
(log.f64 (fabs.f64 (fabs.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(log.f64 (fabs.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 y x)
(*.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)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (* (* x x) 1/8) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 #s(literal 1/8 binary64) x)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x)) x (log.f64 #s(literal 2 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x))
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.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 (/ (log (- (exp x) -1)) (* y x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) x))
#s(approx (log (- (exp x) -1)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (- (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (* y x) (*.f64 y x))
#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 (- (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 (+ (* (+ (* 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 (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (neg.f64 y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))
#s(approx (* (- (/ (log (- (exp x) -1)) (* y x)) 1) y) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) #s(literal -1 binary64))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)))
#s(approx (/ (log (- (exp x) -1)) (* y x)) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 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 (+ (* (- 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 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 x) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#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 (+ (* (+ (* 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 (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)) 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)) (-.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)) (+.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 (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
#s(approx (- (/ (log (- (exp x) -1)) (* y x)) 1) (/.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) y))
#s(approx y y)
#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 #s(literal 1/2 binary64) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.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 (* (- (/ (log (- (exp x) -1)) x) y) x) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) 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) (*.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) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) 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 (* (- (/ (log (- (exp x) -1)) 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 (- (exp x) -1)) x) y) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))) #s(literal 1 binary64))))
#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))))

eval13.0ms (0.4%)

Memory
17.9MiB live, 18.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 351 to 683 computations (49.4% saved)

prune21.0ms (0.6%)

Memory
-33.7MiB live, 12.9MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New1253128
Fresh000
Picked224
Done077
Total12712139
Accuracy
100.0%
Counts
139 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
100.0%
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
90.2%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
54.6%
#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))))
83.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
52.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
49.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
52.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
74.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
52.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
83.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x)))
33.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
Compiler

Compiled 337 to 278 computations (17.5% saved)

regimes16.0ms (0.4%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x)))
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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
100.0%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes23.0ms (0.6%)

Memory
-29.2MiB live, 17.7MiB allocated; 2ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x)))
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
Calls

3 calls:

4.0ms
y
4.0ms
x
4.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes12.0ms (0.3%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x)))
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.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))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (*.f64 (-.f64 (/.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) (*.f64 y x)) #s(literal 1 binary64)) y)) x))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

3 calls:

4.0ms
y
4.0ms
x
3.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.5%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.6%2x
90.2%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) y) x)))
(-.f64 (log1p.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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 (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 #s(approx (- (/ (log (- (exp x) -1)) x) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x))
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:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.7%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
83.3%2x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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
97.6%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Accuracy

Total -10.2b remaining (-31.3%)

Threshold costs -10.2b (-31.3%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
49.0%1x
49.0%1y
49.0%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch30.0ms (0.8%)

Memory
-38.4MiB live, 16.7MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-7207047.213264621
-10.059501110776246
Samples
23.0ms144×0valid
Compiler

Compiled 255 to 272 computations (-6.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log1p: 17.0ms (84.1% of total)
ival-exp: 2.0ms (9.9% of total)
ival-mult!: 1.0ms (4.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
-7207047.213264621
-10.059501110776246
Samples
3.0ms64×0valid
Compiler

Compiled 237 to 254 computations (-7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (56.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch8.0ms (0.2%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
-7207047.213264621
-10.059501110776246
Samples
4.0ms80×0valid
Compiler

Compiled 201 to 218 computations (-8.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (48.3% of total)
ival-log1p: 1.0ms (48.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
416.76628721078987
1708508.3072389741
0.0ms
0.00041938682618237815
0.6930307135612293
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
416.76628721078987
1708508.3072389741
0.0ms
0.00041938682618237815
0.6930307135612293
Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations282.0ms (7.8%)

Memory
-13.1MiB live, 220.8MiB allocated; 24ms collecting garbage
Stop Event
fuel
Compiler

Compiled 86 to 60 computations (30.2% saved)

preprocess63.0ms (1.7%)

Memory
11.8MiB live, 151.4MiB allocated; 24ms collecting garbage
Compiler

Compiled 115 to 86 computations (25.2% saved)

end0.0ms (0%)

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

Profiling

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