Hyperbolic sine

Time bar (total: 4.0s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB 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)

sample2.3s (58.8%)

Memory
-211.6MiB live, 1 354.5MiB allocated; 1.7s collecting garbage
Samples
1.3s2 380×1valid
646.0ms1 672×2valid
191.0ms4 204×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-exp: 1.7s (87.9% of total)
adjust: 95.0ms (5.0% of total)
ival-div!: 68.0ms (3.5% of total)
ival-sub!: 36.0ms (1.9% of total)
ival-neg: 33.0ms (1.7% of total)
Bogosity

preprocess28.0ms (0.7%)

Memory
-20.0MiB live, 25.1MiB allocated; 7ms 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
57.2%
(/.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
0.2MiB live, 0.2MiB 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 (0.2%)

Memory
12.2MiB live, 12.2MiB 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

rewrite82.0ms (2.1%)

Memory
26.6MiB live, 71.6MiB allocated; 5ms 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)

eval31.0ms (0.8%)

Memory
-13.6MiB live, 37.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 2 135 to 530 computations (75.2% saved)

prune9.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2405245
Fresh000
Picked101
Done000
Total2415246
Accuracy
100.0%
Counts
246 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
100.0%
(sinh.f64 x)
54.5%
(exp.f64 x)
54.9%
(cosh.f64 x)
49.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 50 to 42 computations (16.0% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
Outputs
#s(literal 1/2 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)

series19.0ms (0.5%)

Memory
-33.3MiB live, 12.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143401
Stop Event
iter-limit
Counts
10 → 29
Calls
Call 1
Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)
(cosh.f64 x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 1/2 binary64)
Outputs
#s(approx (sinh x) x)
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sinh x) (*.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 (sinh x) (*.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 (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) x))))))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) x))))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) 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 (neg.f64 x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ (* (- (exp (+ x x)) 1) 1/2) (exp x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) 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 x)) 1) 1/2) (exp x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 x))))
#s(approx (* (- (exp (+ x x)) 1) 1/2) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
Calls

3 calls:

TimeVariablePoint
5.0ms
x
0
4.0ms
x
inf
3.0ms
x
-inf

rewrite131.0ms (3.3%)

Memory
-2.9MiB live, 150.0MiB allocated; 65ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
02527
111927
255727
0402727
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 419
Calls
Call 1
Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.f64 x)
(cosh.f64 x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
#s(literal 1/2 binary64)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (expm1.f64 (+.f64 x x))) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))) #s(literal -8 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))) #s(literal -8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 8 binary64))
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x
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(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x))))
(fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (-.f64 x (-.f64 #s(literal 0 binary64) x)))
(expm1.f64 (+.f64 x x))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(+.f64 (cosh.f64 (+.f64 x x)) (+.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (-.f64 (neg.f64 x) x))
(-.f64 x (neg.f64 x))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
#s(literal 1/2 binary64)

eval36.0ms (0.9%)

Memory
2.1MiB live, 48.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 712 to 1 016 computations (84.9% saved)

prune9.0ms (0.2%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4282430
Fresh000
Picked055
Done000
Total4287435
Accuracy
100.0%
Counts
435 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
48.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
100.0%
(sinh.f64 x)
54.5%
(exp.f64 x)
54.9%
(cosh.f64 x)
49.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
5.4%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 41 to 34 computations (17.1% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 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 (0.2%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131393
Stop Event
iter-limit
Counts
11 → 29
Calls
Call 1
Inputs
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x)))
#s(literal 1/2 binary64)
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#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 x x)
#s(approx (* (* 1/2 (- (exp (+ x x)) 1)) (exp (neg x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (- (exp (+ x x)) 1)) (exp (neg x))) (*.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 (* (* 1/2 (- (exp (+ x x)) 1)) (exp (neg x))) (*.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 (* 1/2 (- (exp (+ x x)) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 1/2 (- (exp (+ x x)) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) x))))))
#s(approx (* 1/2 (- (exp (+ x x)) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) x))))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x))))))
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 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.f64 x))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 1/2 (- (exp (+ x x)) 1)) (exp (neg x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (* 1/2 (- (exp (+ x x)) 1)) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (* 1/2 (- (exp (+ x x)) 1)) (exp (neg x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (* 1/2 (- (exp (+ x x)) 1)) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 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

rewrite118.0ms (3.0%)

Memory
5.7MiB live, 150.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01240
02040
19039
234232
3223832
0423532
Stop Event
iter-limit
node-limit
iter-limit
Counts
11 → 419
Calls
Call 1
Inputs
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x)))
#s(literal 1/2 binary64)
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (expm1.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (expm1.f64 (+.f64 x x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(sinh.f64 x)
(neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))))
(neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (exp.f64 x)))
(neg.f64 (sinh.f64 (neg.f64 x)))
(fma.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x)) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (expm1.f64 (+.f64 x x))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cosh.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
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(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (exp.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (neg.f64 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (neg.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (neg.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(sqrt.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (-.f64 x #s(literal 0 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (neg.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 (*.f64 x #s(literal -1 binary64))) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(neg.f64 (-.f64 x #s(literal 0 binary64)))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval66.0ms (1.7%)

Memory
-4.3MiB live, 77.7MiB allocated; 12ms collecting garbage
Compiler

Compiled 7 625 to 1 489 computations (80.5% saved)

prune9.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4361437
Fresh000
Picked112
Done055
Total4377444
Accuracy
100.0%
Counts
444 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
48.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
100.0%
(sinh.f64 x)
54.5%
(exp.f64 x)
54.9%
(cosh.f64 x)
49.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
5.4%
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
Compiler

Compiled 41 to 34 computations (17.1% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
Outputs
#s(literal -1 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)

series8.0ms (0.2%)

Memory
-37.4MiB live, 8.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02857
Stop Event
iter-limit
Counts
4 → 7
Calls
Call 1
Inputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
Outputs
#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 x x)
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
inf
0.0ms
x
-inf
0.0ms
x
0

rewrite120.0ms (3.0%)

Memory
-1.3MiB live, 188.8MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0611
13111
29211
328311
4235411
0468611
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 25
Calls
Call 1
Inputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
Outputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal -1 binary64)

eval3.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 321 to 122 computations (62.0% saved)

prune2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done066
Total28735
Accuracy
100.0%
Counts
35 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
48.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
100.0%
(sinh.f64 x)
54.5%
(exp.f64 x)
54.9%
(cosh.f64 x)
49.3%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
5.4%
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
Compiler

Compiled 41 to 34 computations (17.1% saved)

regimes34.0ms (0.9%)

Memory
5.7MiB live, 59.3MiB allocated; 10ms collecting garbage
Counts
3 → 1
4 → 2
5 → 2
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Call 2
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) 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)
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(exp.f64 x)
(cosh.f64 x)
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(cosh.f64 x)
Call 4
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(exp.f64 x)
(cosh.f64 x)
(sinh.f64 x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

12 calls:

10.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms
x
2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
49.3%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
49.3%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
49.3%1x
98.5%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
98.5%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
98.5%2x
98.8%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
98.8%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
98.8%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 115 to 81 computations (29.6% saved)

bsearch28.0ms (0.7%)

Memory
-12.9MiB live, 29.4MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
0.1542049707449168
4.335855316766654
Samples
12.0ms25×1valid
9.0ms21×2valid
3.0ms66×0valid
Compiler

Compiled 95 to 95 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 10.0ms (80.5% of total)
adjust: 1.0ms (8.0% of total)
ival-sub!: 1.0ms (8.0% of total)
ival-div!: 1.0ms (8.0% of total)
ival-neg: 0.0ms (0.0% of total)

bsearch1.0ms (0.0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.1542049707449168
4.335855316766654
Compiler

Compiled 95 to 95 computations (0.0% saved)

derivations849.0ms (21.4%)

Memory
42.8MiB live, 174.3MiB allocated; 76ms collecting garbage
Stop Event
done
Compiler

Compiled 44 to 15 computations (65.9% saved)

preprocess30.0ms (0.8%)

Memory
20.5MiB live, 64.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 158 to 101 computations (36.1% saved)

end0.0ms (0.0%)

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

Profiling

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