Logistic regression 2

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze78.0ms (2.1%)

Memory
18.0MiB live, 117.0MiB allocated; 24ms 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)

sample1.6s (42.5%)

Memory
-118.4MiB live, 1 776.5MiB allocated; 1.2s collecting garbage
Samples
713.0ms2 627×1exit
531.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 453.0ms
ival-log1p: 198.0ms (43.7% of total)
ival-exp: 116.0ms (25.6% of total)
ival-mult!: 68.0ms (15% of total)
adjust: 45.0ms (9.9% of total)
ival-sub!: 26.0ms (5.7% of total)
Bogosity

explain108.0ms (2.9%)

Memory
-39.5MiB live, 201.8MiB allocated; 29ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
188(-1.1195710938318699e+20 4300425374775.2104)0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 x))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))sensitivity880
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))oflow-rescue10
(exp.f64 x)overflow1
(+.f64 #s(literal 1 binary64) (exp.f64 x))overflow1
Confusion
Predicted +Predicted -
+10
-88167
Precision
0.011235955056179775
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-880167
Precision?
0.011235955056179775
Recall?
1.0
Freqs
test
numberfreq
0167
189
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 5.0ms (32.5% of total)
ival-log1p: 5.0ms (32.5% of total)
ival-mult!: 3.0ms (19.5% of total)
ival-sub!: 1.0ms (6.5% of total)
ival-add!: 1.0ms (6.5% of total)
adjust: 0.0ms (0% of total)

preprocess42.0ms (1.1%)

Memory
2.1MiB live, 48.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02460
15458
213058
329458
4117858
5570558
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

series62.0ms (1.6%)

Memory
26.9MiB live, 118.1MiB allocated; 13ms collecting garbage
Counts
8 → 29
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
24.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
3.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
1.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite154.0ms (4.1%)

Memory
21.2MiB live, 215.8MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102433
0108424
1562422
04885350
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
37 → 90
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x)))
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 y)) x) (neg.f64 y)))

eval18.0ms (0.5%)

Memory
-15.6MiB live, 37.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 389 to 326 computations (76.5% saved)

prune7.0ms (0.2%)

Memory
-31.0MiB live, 16.6MiB allocated; 3ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893
Accuracy
100.0%
Counts
93 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(-.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 x y))
92.6%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
73.4%
#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))))
76.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
83.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
49.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
52.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
52.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 248 to 204 computations (17.7% saved)

series119.0ms (3.1%)

Memory
39.9MiB live, 227.2MiB allocated; 19ms collecting garbage
Counts
29 → 109
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
(-.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 x y))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
(sinh.f64 x)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 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 (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (log 2)))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 2))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 2))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* 1/2 (pow x 2)))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (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 (+ (* (- 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 (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x) y))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) (* -1 (* x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
Calls

6 calls:

TimeVariablePointExpression
59.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) 1 (cosh x) (sinh x))
34.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) 1 (cosh x) (sinh x))
10.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) 1 (cosh x) (sinh x))
5.0ms
x
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) 1 (cosh x) (sinh x))
5.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (* x y) x y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (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)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192 1/8 (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) 1 (cosh x) (sinh x))

rewrite218.0ms (5.8%)

Memory
14.6MiB live, 292.9MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612403
03892195
119722155
080841977
Stop Event
iter-limit
node-limit
iter-limit
Counts
138 → 318
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
(-.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 x y))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
(sinh.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 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 (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (log 2)))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 2))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 2))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* 1/2 (pow x 2)))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (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 (+ (* (- 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 (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x) y))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) (* -1 (* x y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
Outputs
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x))))))
(-.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 y x))
(+.f64 (log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y))
(log.f64 #s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64)))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y x)
(*.f64 x y)
x
y
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh 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)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))
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#s(approx (+ (* (* x x) -1/192) 1/8) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))
#s(approx (+ (* (* x x) -1/192) 1/8) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 x x)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) x) y) x))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)))
#s(approx (+ 1 (cosh x)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sinh x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) x)) (neg.f64 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/192 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) x)) (neg.f64 y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 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) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+.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 (*.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) 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))) y)) y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) y) x) y))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (neg.f64 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) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) y)) (neg.f64 x))))

eval58.0ms (1.5%)

Memory
-61.1MiB live, 103.5MiB allocated; 25ms collecting garbage
Compiler

Compiled 10 140 to 1 407 computations (86.1% saved)

prune12.0ms (0.3%)

Memory
34.4MiB live, 34.4MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3407347
Fresh303
Picked325
Done000
Total3469355
Accuracy
100.0%
Counts
355 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 x y))
92.6%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
76.9%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
52.9%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (exp.f64 x)))
52.2%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
57.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
53.1%
#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))))
49.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
32.6%
#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 331 to 259 computations (21.8% saved)

series35.0ms (0.9%)

Memory
-27.8MiB live, 70.4MiB allocated; 8ms collecting garbage
Counts
24 → 103
Calls
Call 1
Inputs
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
x
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal -1/192 binary64)
Outputs
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (- 1/2 y)))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x) y))))
#s(approx (+ (* (- (+ (* 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 (+ (* 1/8 x) 1/2) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* x (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (- (log (+ 1 (exp x))) (* 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 (+ (* (- 1/2 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 (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x)) (* -1 y))))))
#s(approx (+ (* (- (+ (* 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 (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) (* -1 (* x y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* -1 y)))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 x 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)
7.0ms
x
@inf
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 x 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)
6.0ms
y
@0
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 x 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)
5.0ms
x
@-inf
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 x 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)
5.0ms
y
@inf
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (- (+ (* 1/8 x) 1/2) y) (+ (* 1/8 x) 1/2) 1/8 x 1/2 y (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (* x x) -1/192)

rewrite172.0ms (4.6%)

Memory
40.0MiB live, 270.3MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03592505
03792302
120092275
087442097
Stop Event
iter-limit
node-limit
iter-limit
Counts
127 → 240
Calls
Call 1
Inputs
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
x
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal -1/192 binary64)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (- 1/2 y)))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x) y))))
#s(approx (+ (* (- (+ (* 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 (+ (* 1/8 x) 1/2) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) 1/2) #s(hole binary64 (* x (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (- (log (+ 1 (exp x))) (* 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 (+ (* (- 1/2 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 (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1/192 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1/192 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow x 2))))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x)) (* -1 y))))))
#s(approx (+ (* (- (+ (* 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 (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) (* -1 (* x y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* -1 y)))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (- (+ (* 1/8 x) 1/2) y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))))
Outputs
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh 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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.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 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #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))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #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 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #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)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #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 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #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)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #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 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 (pow.f64 (log.f64 #s(literal 2 binary64)) #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))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #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))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #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 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #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 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 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #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))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #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))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #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 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #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 2 binary64)))))))
(+.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))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) y) (-.f64 (*.f64 #s(literal 1/8 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 y y) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)))))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
#s(literal 1/8 binary64)
x
#s(literal 1/2 binary64)
y
(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
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(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal -1/192 binary64)
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#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh 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))))
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#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (+ (* 1/8 x) 1/2) y) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (* 1/8 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/8 x) 1/2) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (* (- 1/2 y) x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
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#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (-.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* (* x x) -1/192) 1/8) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 x) y))
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#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (/.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 (+ (* 1/8 x) 1/2) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (* 1/8 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
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#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64)))
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#s(approx (- (+ (* 1/8 x) 1/2) y) (+.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 y)) #s(literal 1/2 binary64)))
#s(approx y y)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+.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 (*.f64 (neg.f64 x) y)) (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (neg.f64 y)) #s(literal 1/2 binary64)))
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#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (neg.f64 x) y))
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#s(approx (- (+ (* 1/8 x) 1/2) y) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
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#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y))
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) 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))) y)) y))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (neg.f64 y))
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#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) y)) (neg.f64 x))))
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#s(approx (- (+ (* 1/8 x) 1/2) y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (*.f64 (neg.f64 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) #s(literal -1 binary64) #s(literal 1 binary64))))

eval33.0ms (0.9%)

Memory
-16.4MiB live, 74.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 9 154 to 1 079 computations (88.2% saved)

prune16.0ms (0.4%)

Memory
-23.1MiB live, 31.6MiB allocated; 7ms collecting garbage
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New2556261
Fresh022
Picked145
Done022
Total25614270
Accuracy
100.0%
Counts
270 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 x y))
92.6%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
55.3%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 #s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
52.9%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (exp.f64 x)))
52.2%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
21.4%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
5.9%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
57.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
53.1%
#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))))
49.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
32.6%
#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)))
32.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
32.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
3.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
Compiler

Compiled 582 to 428 computations (26.5% saved)

series117.0ms (3.1%)

Memory
33.3MiB live, 127.6MiB allocated; 5ms collecting garbage
Counts
35 → 140
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x)))
(+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))
#s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sinh.f64 x)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 x)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))
(+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(literal 1/8 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
Outputs
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (log 2)))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 2))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 2))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* 1/2 (pow x 2)))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1 y)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* x (- (+ 1/2 (* 1/8 x)) y))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (/ (- 1/2 y) x)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (/ (- (+ 1/2 (* 1/8 x)) y) x)))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (/ (- 1/2 y) x)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x) y))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (+ (* (- (+ (* 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 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 1/8))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* -1 (* x (- y 1/2)))))
#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 (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (+ 1/8 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (+ (* -1 (/ y x)) (* 1/2 (/ 1 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 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y))))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (* -1 (/ y x))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (* -1 (/ y x))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ 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 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
Calls

6 calls:

TimeVariablePointExpression
53.0ms
x
@inf
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 1/2 2 (sinh x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (+ (* (neg x) y) (* 1/2 x)) (neg x) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ 1 (exp x))) (exp x))
28.0ms
y
@0
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 1/2 2 (sinh x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (+ (* (neg x) y) (* 1/2 x)) (neg x) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ 1 (exp x))) (exp x))
19.0ms
x
@-inf
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 1/2 2 (sinh x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (+ (* (neg x) y) (* 1/2 x)) (neg x) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ 1 (exp x))) (exp x))
5.0ms
y
@inf
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 1/2 2 (sinh x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (+ (* (neg x) y) (* 1/2 x)) (neg x) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ 1 (exp x))) (exp x))
5.0ms
y
@-inf
((- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ (+ 1 (cosh x)) (sinh x))) (+ (+ 1 (cosh x)) (sinh x)) (+ 1 (cosh x)) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24) 1/720 (* x x) x 1/24 1/2 2 (sinh x) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (* 1/2 x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (+ (* (neg x) y) (* 1/2 x)) (neg x) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (+ 1/8 (/ (- 1/2 y) x)) 1/8 (/ (- 1/2 y) x) (- 1/2 y) (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log (+ 1 (exp x))) (exp x))

rewrite208.0ms (5.5%)

Memory
-28.7MiB live, 347.4MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04383030
04682760
123762718
094882575
Stop Event
iter-limit
node-limit
iter-limit
Counts
175 → 332
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x)))
(+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))
#s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sinh.f64 x)
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 x)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))
(+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(literal 1/8 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (log 2)))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 2))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 2))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* 1/2 (pow x 2)))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* 1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1 y)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* x (- (+ 1/2 (* 1/8 x)) y))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (/ (- 1/2 y) x)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (/ (- (+ 1/2 (* 1/8 x)) y) x)))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (/ (- 1/2 y) x)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x) y))))
#s(approx (log (+ (+ 1 (cosh x)) (sinh x))) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (+ (+ 1 (cosh x)) (sinh x)) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))))
#s(approx (+ 1 (cosh x)) #s(hole binary64 (+ 1 (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (+ (* (- (+ (* 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 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 1/8))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* -1 (* x (- y 1/2)))))
#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 (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (+ 1/8 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (+ (* -1 (/ y x)) (* 1/2 (/ 1 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 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y))))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y))))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* -1 (* x y))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (* -1 (/ y x))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (* -1 (/ y x))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (* y (- (* 1/2 (/ 1 (* x y))) (/ 1 x)))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))) y)) (* -1 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (+ (* (neg x) y) (* 1/2 x)) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ 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 (/ (- 1/2 y) x)) (* x x)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))))
#s(approx (/ (- 1/2 y) x) #s(hole binary64 (* -1 (* y (- (/ 1 x) (* 1/2 (/ 1 (* x y))))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
Outputs
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x))))))
(-.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 y x))
(+.f64 (log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))))))
(log.f64 (+.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x)))
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(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(literal 1/8 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
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(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))))
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(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
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#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
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#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
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#s(approx (+ 1 (cosh x)) #s(literal 2 binary64))
#s(approx (+ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
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#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
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#s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* 1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sinh x) x)
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#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
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#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
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#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
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#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x) x))
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#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x) x))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)))
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
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#s(approx (+ (* (neg x) y) (* 1/2 x)) (*.f64 (neg.f64 x) (-.f64 y #s(literal 1/2 binary64))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 1/2 binary64)) x)) x) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (neg x) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (neg x) y) (* 1/2 x)) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x) (*.f64 (neg.f64 x) y)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64)))
#s(approx (/ (- 1/2 y) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1/2 y) x) (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)) x))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- 1/2 y) (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 x) y))
#s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
#s(approx (+ (* (neg x) y) (* 1/2 x)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (neg x) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 #s(literal -1 binary64) 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 (/ (- 1/2 y) x)) (* x x)) (*.f64 (neg.f64 x) y))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (/ (- 1/2 y) x) (/.f64 (neg.f64 y) x))
#s(approx (/ (- 1/2 y) x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (pow.f64 x #s(literal -1 binary64))) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) y)) (neg.f64 x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (log1p.f64 (exp.f64 x)) y)) (neg.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) #s(literal -1 binary64) x)))
#s(approx (* (- 1/2 y) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (+ (* (neg x) y) (* 1/2 x)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) x)))
#s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (neg.f64 y) (fma.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) #s(literal -1 binary64) x)))
#s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y)) #s(literal -1 binary64) x)))
#s(approx (+ 1/8 (/ (- 1/2 y) x)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- 1/2 y) x) (*.f64 (neg.f64 y) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))

eval54.0ms (1.4%)

Memory
21.3MiB live, 118.5MiB allocated; 15ms collecting garbage
Compiler

Compiled 15 980 to 2 053 computations (87.2% saved)

prune25.0ms (0.7%)

Memory
19.6MiB live, 66.0MiB allocated; 4ms collecting garbage
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New3959404
Fresh033
Picked325
Done066
Total39820418
Accuracy
100.0%
Counts
418 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
69.0%
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
92.6%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
55.3%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 #s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
51.8%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
52.2%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
21.4%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
21.7%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
5.7%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
5.9%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
31.7%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
24.0%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
26.4%
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
57.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
53.1%
#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))))
49.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
32.6%
#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)))
32.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
32.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
3.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
Compiler

Compiled 1 483 to 628 computations (57.7% saved)

regimes30.0ms (0.8%)

Memory
-28.8MiB live, 63.2MiB allocated; 6ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 #s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #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))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

10.0ms
y
10.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
8.0ms
x
Results
AccuracySegmentsBranch
99.6%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.6%1x
99.6%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes29.0ms (0.8%)

Memory
10.7MiB live, 61.0MiB allocated; 8ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 #s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #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))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 (exp.f64 x)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
Calls

3 calls:

13.0ms
x
7.0ms
y
6.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.0%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
100.0%2x
92.6%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes8.0ms (0.2%)

Memory
24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 #s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #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))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 #s(approx (+ 1 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 x y))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.2%)

Memory
-21.3MiB live, 26.2MiB allocated; 2ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 #s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #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))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 #s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 (-.f64 (fma.f64 #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))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.2%)

Memory
-30.4MiB live, 16.9MiB allocated; 2ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (fma.f64 #s(approx (- (+ (* 1/8 x) 1/2) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.8%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.3%)

Memory
-22.1MiB live, 25.4MiB allocated; 1ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
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:

5.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
5.0ms
x
Results
AccuracySegmentsBranch
98.5%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
86.4%2x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes5.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log1p.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

1 calls:

4.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.5%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

1 calls:

4.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.1%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes20.0ms (0.5%)

Memory
-27.0MiB live, 31.9MiB allocated; 9ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 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 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 #s(approx (+ 1/8 (/ (- 1/2 y) x)) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ (+ 1 (cosh x)) (sinh x))) (* x y)) #s(approx (+ (* (- (+ (* 1/8 x) 1/2) y) x) (log 2)) #s(approx (* (+ 1/8 (/ (- 1/2 y) x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (neg.f64 x)) y))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

3 calls:

11.0ms
x
4.0ms
y
3.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
49.2%1x
49.2%1y
49.2%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes3.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

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

Compiled 11 to 12 computations (-9.1% saved)

bsearch16.0ms (0.4%)

Memory
-16.8MiB live, 30.0MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-17886.916737408894
-0.016764542460413784
Samples
9.0ms144×0valid
Compiler

Compiled 570 to 380 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (46.5% of total)
ival-log1p: 1.0ms (23.2% of total)
ival-mult!: 1.0ms (23.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch13.0ms (0.3%)

Memory
24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-17886.916737408894
-0.016764542460413784
Samples
6.0ms128×0valid
Compiler

Compiled 525 to 362 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 2.0ms (58.5% of total)
ival-log1p: 1.0ms (29.3% of total)
ival-mult!: 1.0ms (29.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
-17886.916737408894
-0.016764542460413784
Samples
1.0ms16×0valid
Compiler

Compiled 363 to 299 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-exp: 0.0ms (0% 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)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-17886.916737408894
-0.016764542460413784
Compiler

Compiled 318 to 272 computations (14.5% saved)

bsearch9.0ms (0.2%)

Memory
-32.9MiB live, 13.9MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
-17886.916737408894
-0.016764542460413784
Samples
3.0ms64×0valid
Compiler

Compiled 291 to 254 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (50.6% of total)
ival-log1p: 1.0ms (50.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-17886.916737408894
-0.016764542460413784
Compiler

Compiled 237 to 218 computations (8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.693147181096618
28542.632102422078
0.0ms
1.2270963116864883e-64
0.6848000401538333
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.693147181096618
28542.632102422078
0.0ms
1.2270963116864883e-64
0.6848000401538333
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.693147181096618
28542.632102422078
0.0ms
1.2270963116864883e-64
0.6848000401538333
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations319.0ms (8.4%)

Memory
32.8MiB live, 363.9MiB allocated; 21ms collecting garbage
Stop Event
fuel
Compiler

Compiled 530 to 107 computations (79.8% saved)

preprocess135.0ms (3.6%)

Memory
-5.2MiB live, 136.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 130 to 266 computations (76.5% saved)

end0.0ms (0%)

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

Profiling

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