Hyperbolic sine

Time bar (total: 4.5s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample2.9s (64.7%)

Memory
-60.0MiB live, 2 600.8MiB allocated; 2.6s collecting garbage
Samples
1.5s2 410×1valid
817.0ms1 634×2valid
317.0ms4 212×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-exp: 1.9s (82.6% of total)
ival-div!: 130.0ms (5.7% of total)
adjust: 129.0ms (5.7% of total)
ival-sub!: 80.0ms (3.5% of total)
ival-neg: 58.0ms (2.5% of total)
Bogosity

preprocess27.0ms (0.6%)

Memory
-17.4MiB live, 35.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1627
22607
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.5%
(/.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
0.0ms1×0valid
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
25.4MiB live, 25.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098323
Stop Event
1×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
0
1.0ms
x
inf

rewrite86.0ms (1.9%)

Memory
-20.3MiB live, 122.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01217
15717
229217
3281513
0511712
Stop Event
1×iter-limit
1×node-limit
1×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 -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 -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 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 #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 #s(literal -2 binary64) (exp.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 (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 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (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 -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 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 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 #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 #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))
(cosh.f64 (neg.f64 x))
(cosh.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))
(-.f64 (exp.f64 (-.f64 (+.f64 x x) x)) (exp.f64 x))
(-.f64 (exp.f64 x) (exp.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)))
(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 (0.7%)

Memory
25.6MiB live, 73.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 135 to 530 computations (75.2% saved)

prune7.0ms (0.2%)

Memory
-30.3MiB live, 17.5MiB allocated; 1ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2414245
Fresh000
Picked101
Done000
Total2424246
Accuracy
100.0%
Counts
246 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.8%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
▶100.0%
(sinh.f64 x)
▶53.9%
(exp.f64 x)
▶50.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
Compiler

Compiled 23 to 19 computations (17.4% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
Outputs
#s(literal 1/2 binary64)
Samples
0.0ms1×0valid
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)

series15.0ms (0.3%)

Memory
35.3MiB live, 35.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122365
Stop Event
1×iter-limit
Counts
9 → 25
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
(exp.f64 x)
(sinh.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 (/ (- (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 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 (/ (- (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 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
3.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0

rewrite140.0ms (3.1%)

Memory
6.3MiB live, 234.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01538
02325
111625
251125
0405925
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
9 → 483
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
(exp.f64 x)
(sinh.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 (/ (- (exp x) (exp (neg x))) 2) x)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 x) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (+.f64 (cosh.f64 x) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (fma.f64 (cosh.f64 x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (cosh.f64 x) (neg.f64 (exp.f64 x)) (*.f64 #s(literal -1/2 binary64) (expm1.f64 (+.f64 x x)))) (neg.f64 (exp.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (neg.f64 (neg.f64 (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x)))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (expm1.f64 (+.f64 x x))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (neg.f64 (exp.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (+.f64 x x))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (exp.f64 (neg.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 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal 8 binary64))
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(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 x x))))
(-.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(-.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 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) x)) x)
(*.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 (neg.f64 x)) (neg.f64 (neg.f64 x)))) (-.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 x (neg.f64 (neg.f64 x))))))
(/.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 (neg.f64 (neg.f64 x))))
(-.f64 x (neg.f64 x))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
#s(literal 1/2 binary64)

eval45.0ms (1.0%)

Memory
-14.1MiB live, 86.7MiB allocated; 13ms collecting garbage
Compiler

Compiled 8 053 to 1 193 computations (85.2% saved)

prune8.0ms (0.2%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4711472
Fresh000
Picked044
Done000
Total4715476
Accuracy
100.0%
Counts
476 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.8%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
✓100.0%
(sinh.f64 x)
✓53.9%
(exp.f64 x)
✓50.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
▶5.4%
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 29 to 24 computations (17.2% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms1×0valid
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)

series5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02657
Stop Event
1×iter-limit
Counts
4 → 7
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
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 (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

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

rewrite149.0ms (3.3%)

Memory
-7.3MiB live, 180.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0611
13211
29811
336211
4302711
0401311
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
4 → 52
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
Outputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x))) #s(literal 2 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 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) #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))))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x

eval7.0ms (0.2%)

Memory
-32.5MiB live, 14.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 616 to 206 computations (66.6% saved)

prune3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New52355
Fresh000
Picked101
Done044
Total53760
Accuracy
100.0%
Counts
60 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.8%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
✓100.0%
(sinh.f64 x)
✓53.9%
(exp.f64 x)
✓50.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
▶5.4%
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
▶5.4%
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
▶5.4%
#s(approx (exp x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
Compiler

Compiled 50 to 40 computations (20.0% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
2
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

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

series9.0ms (0.2%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087309
Stop Event
1×iter-limit
Counts
14 → 24
Calls
Call 1
Inputs
#s(approx (exp x) (*.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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 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 (- 1 (/ -1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- 1 (/ -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ 2 (+ (* 2 x) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (* (- 1 (/ -1 x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (/ -1 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 x) 2)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
#s(approx (+ (* 2 x) 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) 2) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 2 (+ (* 2 x) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
Calls

3 calls:

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

rewrite157.0ms (3.5%)

Memory
13.4MiB live, 233.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01567
02349
111849
242949
3230949
0439748
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
14 → 1 287
Calls
Call 1
Inputs
#s(approx (exp x) (*.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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
Outputs
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))) (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
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eval148.0ms (3.3%)

Memory
20.9MiB live, 196.2MiB allocated; 85ms collecting garbage
Compiler

Compiled 12 004 to 2 850 computations (76.3% saved)

prune24.0ms (0.5%)

Memory
-4.8MiB live, 37.5MiB allocated; 11ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New7664770
Fresh000
Picked123
Done044
Total76710777
Accuracy
100.0%
Counts
777 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.8%
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
✓100.0%
(sinh.f64 x)
✓53.9%
(exp.f64 x)
✓50.9%
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
29.8%
#s(approx (exp x) (/.f64 (fma.f64 x x x) x))
29.8%
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x x))))
5.4%
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓5.4%
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
29.8%
#s(approx (exp x) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) x)))
✓5.4%
#s(approx (exp x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
Compiler

Compiled 80 to 59 computations (26.3% saved)

regimes148.0ms (3.3%)

Memory
0.7MiB live, 73.5MiB allocated; 198ms collecting garbage
Counts
3 → 1
6 → 2
10 → 2
13 → 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))
#s(approx (exp x) (/.f64 (fma.f64 x x x) x))
#s(approx (exp x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (exp x) (/.f64 (fma.f64 x x x) 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))
#s(approx (exp x) (/.f64 (fma.f64 x x x) x))
#s(approx (exp x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(exp.f64 x)
#s(approx (exp x) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x x))))
Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(exp.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))
#s(approx (exp x) (/.f64 (fma.f64 x x x) x))
#s(approx (exp x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(exp.f64 x)
#s(approx (exp x) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
#s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x x))))
(sinh.f64 x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

12 calls:

115.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms
x
4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
50.9%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
50.9%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
50.9%1x
75.3%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
75.3%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
75.3%2x
99.4%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
99.4%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
99.4%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 165 to 98 computations (40.6% saved)

bsearch38.0ms (0.8%)

Memory
-5.6MiB live, 40.0MiB allocated; 21ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
2.4367129564207512e-8
8.497173230931743
Samples
16.0ms73×0valid
9.0ms27×2valid
5.0ms44×1valid
Compiler

Compiled 119 to 119 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 11.0ms (75.0% of total)
adjust: 1.0ms (6.8% of total)
ival-sub!: 1.0ms (6.8% of total)
ival-div!: 1.0ms (6.8% of total)
ival-neg: 1.0ms (6.8% of total)

bsearch1.0ms (0.0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.4367129564207512e-8
8.497173230931743
Compiler

Compiled 182 to 146 computations (19.8% saved)

derivations480.0ms (10.8%)

Memory
-13.8MiB live, 162.2MiB allocated; 86ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 51 to 17 computations (66.7% saved)

preprocess36.0ms (0.8%)

Memory
10.3MiB live, 53.6MiB allocated; 14ms collecting garbage
Compiler

Compiled 183 to 107 computations (41.5% saved)

end0.0ms (0.0%)

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

Profiling

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