Hyperbolic sine

Time bar (total: 3.6s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
100.0%100.0%0.0%0.0%0.0%0.0%0.0%1
Compiler

Compiled 10 to 9 computations (10.0% saved)

sample2.5s (69.8%)

Memory
-194.2MiB live, 1 355.3MiB allocated; 1.8s collecting garbage
Samples
1.4s2 377×1valid
683.0ms1 649×2valid
196.0ms4 230×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
adjust: 1.1s (53.2% of total)
ival-exp: 802.0ms (38.7% of total)
ival-div!: 72.0ms (3.5% of total)
ival-neg: 58.0ms (2.8% of total)
ival-sub!: 38.0ms (1.8% of total)
Bogosity

preprocess23.0ms (0.6%)

Memory
27.1MiB live, 27.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1627
22607
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Symmetry

(negabs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series10.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
098323
Stop Event
iter-limit
Counts
7 → 23
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (- (exp x) (exp (neg x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (exp x) (exp (neg x))) (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite89.0ms (2.5%)

Memory
-9.4MiB live, 81.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01217
15717
229217
3281513
0511712
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 891
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (exp.f64 x))
(*.f64 #s(literal -4 binary64) (exp.f64 x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 #s(literal -1/2 binary64) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x))
(*.f64 #s(literal 4 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (exp.f64 x))
(*.f64 #s(literal -2 binary64) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal -1/4 binary64))
(*.f64 (exp.f64 x) #s(literal 1/4 binary64))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal -1/2 binary64))
(*.f64 (exp.f64 x) #s(literal 4 binary64))
(*.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1/2 binary64))
(*.f64 (exp.f64 x) #s(literal -2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (fabs.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (fabs.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (fabs.f64 (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (fabs.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 #s(literal -1/2 binary64) (exp.f64 x))
(/.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (exp.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(/.f64 #s(literal 1/2 binary64) (exp.f64 x))
(/.f64 #s(literal -2 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (exp.f64 x))
(/.f64 (exp.f64 x) #s(literal -16 binary64))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal -4 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (exp.f64 x) #s(literal 16 binary64))
(/.f64 (exp.f64 x) #s(literal -8 binary64))
(/.f64 (exp.f64 x) #s(literal 8 binary64))
(/.f64 (exp.f64 x) #s(literal -4 binary64))
(/.f64 (exp.f64 x) #s(literal 4 binary64))
(/.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) #s(literal 2 binary64))
(sinh.f64 (neg.f64 x))
(sinh.f64 x)
(neg.f64 (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (exp.f64 x))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1/4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
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(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1/4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1/4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1/4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1/2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 2 binary64) (exp.f64 x))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(sqrt.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (exp.f64 (-.f64 (+.f64 x x) x)) (exp.f64 x))
(-.f64 (exp.f64 x) (exp.f64 x))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (+.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 x #s(literal 0 binary64)))
(exp.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))) (sinh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) x)) (sinh.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (cosh.f64 (*.f64 x #s(literal -1 binary64))) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(+.f64 (exp.f64 x) (exp.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

eval24.0ms (0.7%)

Memory
-13.9MiB live, 36.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 135 to 530 computations (75.2% saved)

prune7.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2423245
Fresh000
Picked101
Done000
Total2433246
Accuracy
100.0%
Counts
246 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sinh.f64 x)
53.1%
(exp.f64 x)
51.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series7.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061172
Stop Event
iter-limit
Counts
4 → 12
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
(exp.f64 x)
(sinh.f64 x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
-inf
0.0ms
x
0

rewrite68.0ms (1.9%)

Memory
4.9MiB live, 51.0MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
0119
1569
22919
328189
051199
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 446
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
(exp.f64 x)
(sinh.f64 x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (exp.f64 x))
(*.f64 #s(literal -4 binary64) (exp.f64 x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 #s(literal -1/2 binary64) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x))
(*.f64 #s(literal 4 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (exp.f64 x))
(*.f64 #s(literal -2 binary64) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal -1/4 binary64))
(*.f64 (exp.f64 x) #s(literal 1/4 binary64))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal -1/2 binary64))
(*.f64 (exp.f64 x) #s(literal 4 binary64))
(*.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1/2 binary64))
(*.f64 (exp.f64 x) #s(literal -2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (fabs.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (fabs.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (fabs.f64 (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (fabs.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 x))
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(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) (exp.f64 x))
(/.f64 (+.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -2 binary64)) (exp.f64 x))
(/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (exp.f64 x))
(/.f64 #s(literal -1/2 binary64) (exp.f64 x))
(/.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (exp.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(/.f64 #s(literal 1/2 binary64) (exp.f64 x))
(/.f64 #s(literal -2 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (exp.f64 x))
(/.f64 (exp.f64 x) #s(literal -16 binary64))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal -4 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (exp.f64 x) #s(literal 16 binary64))
(/.f64 (exp.f64 x) #s(literal -8 binary64))
(/.f64 (exp.f64 x) #s(literal 8 binary64))
(/.f64 (exp.f64 x) #s(literal -4 binary64))
(/.f64 (exp.f64 x) #s(literal 4 binary64))
(/.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) #s(literal 2 binary64))
(sinh.f64 (neg.f64 x))
(sinh.f64 x)
(neg.f64 (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (exp.f64 x))
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1/4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal -2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1/4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1/4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1/2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 4 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -1 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal -2 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 (exp.f64 x) #s(literal 2 binary64) (exp.f64 x))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(sqrt.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (exp.f64 (-.f64 (+.f64 x x) x)) (exp.f64 x))
(-.f64 (exp.f64 x) (exp.f64 x))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (+.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 x #s(literal 0 binary64)))
(exp.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))) (sinh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) x)) (sinh.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (cosh.f64 (*.f64 x #s(literal -1 binary64))) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(+.f64 (exp.f64 x) (exp.f64 x))

eval21.0ms (0.6%)

Memory
-13.5MiB live, 32.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 897 to 461 computations (75.7% saved)

prune6.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2310231
Fresh000
Picked033
Done000
Total2313234
Accuracy
100.0%
Counts
234 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sinh.f64 x)
53.1%
(exp.f64 x)
51.4%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes30.0ms (0.8%)

Memory
-27.2MiB live, 19.5MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0.0%)

Threshold costs 0b (0.0%)

Counts
1 → 1
2 → 2
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Call 2
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)
Call 3
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

9 calls:

20.0ms
x
2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
x
Results
AccuracySegmentsBranch
51.4%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
51.4%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
51.4%1x
99.1%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
99.1%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
99.1%2x
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%1x
Compiler

Compiled 67 to 54 computations (19.4% saved)

bsearch12.0ms (0.3%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.2652962261742177
5782.756730525209
Samples
6.0ms128×0valid
Compiler

Compiled 107 to 107 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (51.2% of total)
ival-div!: 1.0ms (25.6% of total)
ival-sub!: 0.0ms (0.0% of total)
adjust: 0.0ms (0.0% of total)
ival-neg: 0.0ms (0.0% of total)

derivations770.0ms (21.2%)

Memory
31.5MiB live, 98.7MiB allocated; 22ms collecting garbage
Stop Event
done
Compiler

Compiled 28 to 13 computations (53.6% saved)

preprocess30.0ms (0.8%)

Memory
-10.7MiB live, 34.6MiB allocated; 3ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 101 to 74 computations (26.7% saved)

end0.0ms (0.0%)

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

Profiling

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