expq2 (section 3.11)

Time bar (total: 1.7s)

start0.0ms (0.0%)

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

analyze1.0ms (0.1%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%75.2%24.8%0.0%0.0%0.0%0
0.0%0.0%75.2%24.8%0.0%0.0%0.0%1
50.0%37.6%37.6%24.8%0.0%0.0%0.0%2
75.0%56.4%18.8%24.8%0.0%0.0%0.0%3
87.5%65.8%9.4%24.8%0.0%0.0%0.0%4
93.8%70.5%4.7%24.8%0.0%0.0%0.0%5
96.9%72.8%2.3%24.8%0.0%0.0%0.0%6
98.4%74.0%1.2%24.8%0.0%0.0%0.0%7
99.2%74.6%0.6%24.8%0.0%0.0%0.0%8
99.6%74.9%0.3%24.8%0.0%0.0%0.0%9
99.8%75.0%0.1%24.8%0.0%0.0%0.0%10
99.9%75.1%0.1%24.8%0.0%0.0%0.0%11
100.0%75.1%0.0%24.8%0.0%0.0%0.0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample444.0ms (26.4%)

Memory
7.7MiB live, 152.6MiB allocated; 11ms collecting garbage
Samples
284.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-exp: 67.0ms (42.7% of total, 14.5 MiB)
ival-expm1: 47.0ms (30.0% of total, 11.1 MiB)
ival-div!: 37.0ms (23.6% of total, 4.5 MiB)
adjust: 5.0ms (3.2% of total, 1.3 MiB)
Bogosity

preprocess26.0ms (1.5%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01026
14325
217525
3100323
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

series12.0ms (0.7%)

Memory
-1.1MiB live, 6.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061191
Stop Event
iter-limit
Counts
5 → 16
Calls
Call 1
Inputs
x
(exp.f64 x)
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx x #s(literal 0 binary64))
#s(approx x x)
#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) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.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) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
inf
1.0ms
x
0
0.0ms
x
-inf

rewrite117.0ms (7.0%)

Memory
-0.6MiB live, 53.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
14315
214115
368015
0418515
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 512
Calls
Call 1
Inputs
x
(exp.f64 x)
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
x
(*.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.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) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.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 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 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))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (neg.f64 (cosh.f64 x)))) (*.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x))))) (-.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x))))) (-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (*.f64 (exp.f64 x) #s(literal 0 binary64)))) (-.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (*.f64 #s(literal 0 binary64) (exp.f64 x)))) (-.f64 (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)))) (+.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sinh.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (*.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (neg.f64 (cosh.f64 x)))) (-.f64 (*.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sinh.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 0 binary64)) (*.f64 (exp.f64 x) #s(literal 0 binary64))) (*.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (exp.f64 x)) (*.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (+.f64 (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x))) (*.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (*.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) (sinh.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.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 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (neg.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 (neg.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 (*.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 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.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 (-.f64 (*.f64 (neg.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 (neg.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 (*.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) (+.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.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 -8 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.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 -8 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.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 -8 binary64))
(/.f64 (*.f64 #s(literal -2 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 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (*.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 -2 binary64)) #s(literal -8 binary64))
(/.f64 (*.f64 (+.f64 (*.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 2 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 (*.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 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (*.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 -2 binary64)) #s(literal -8 binary64))
(/.f64 (*.f64 (+.f64 (*.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 2 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 (*.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 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.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 -2 binary64)) #s(literal -8 binary64))
(/.f64 (*.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 2 binary64)) #s(literal 8 binary64))
(/.f64 (*.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 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.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 -2 binary64)) #s(literal -8 binary64))
(/.f64 (*.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 2 binary64)) #s(literal 8 binary64))
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eval36.0ms (2.1%)

Memory
-5.3MiB live, 37.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 12 348 to 1 797 computations (85.4% saved)

prune10.0ms (0.6%)

Memory
1.0MiB live, 11.8MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New51410524
Fresh000
Picked011
Done000
Total51411525
Accuracy
100.0%
Counts
525 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
33.6%
(/.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
33.3%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.2%
(/.f64 (exp.f64 x) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
99.0%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
98.8%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
33.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
71.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
71.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
71.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
71.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 233 to 109 computations (53.2% saved)

series22.0ms (1.3%)

Memory
-1.4MiB live, 13.3MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321394
Stop Event
iter-limit
Counts
37 → 76
Calls
Call 1
Inputs
x
(exp.f64 x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(*.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) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(literal -1/720 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
(cosh.f64 x)
(sinh.f64 x)
(-.f64 (sinh.f64 x) #s(literal 1 binary64))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(/.f64 (exp.f64 x) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
Outputs
#s(approx x #s(literal 0 binary64))
#s(approx x x)
#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 (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/6 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.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) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ 1/2 (* 1/12 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* x (+ 1/2 (* 1/12 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* -1/720 (pow x 2)) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/12 (* -1/720 (pow x 2))) #s(literal 1/12 binary64))
#s(approx (+ 1/12 (* -1/720 (pow x 2))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ 1/12 (* -1/720 (pow x 2)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#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 (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 (- (sinh x) 1) #s(literal -1 binary64))
#s(approx (- (sinh x) 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (sinh x) 1) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (sinh x) 1) (-.f64 (*.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(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1/2 (* 1/6 x)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (+ 1/2 (* 1/12 x)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/12 x))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/2 (* 1/12 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/12 (* -1/720 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (* x (+ 1/12 (* -1/720 (pow x 2)))) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/12 (* -1/720 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 binary64))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 binary64))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (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 (- (sinh x) 1) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 1 binary64)))
#s(approx (+ (- (sinh x) 1) (cosh x)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) #s(literal 1 binary64)))
#s(approx (/ (exp x) (+ (- (sinh x) 1) (cosh x))) (/.f64 (exp.f64 x) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) #s(literal 1 binary64))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))
#s(approx (* x (+ 1/12 (* -1/720 (pow x 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
inf
4.0ms
x
-inf
2.0ms
x
0

rewrite134.0ms (8.0%)

Memory
3.9MiB live, 58.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040277
067277
1351263
21591263
04060263
Stop Event
iter-limit
node-limit
iter-limit
Counts
37 → 682
Calls
Call 1
Inputs
x
(exp.f64 x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(*.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) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(literal -1/720 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
(cosh.f64 x)
(sinh.f64 x)
(-.f64 (sinh.f64 x) #s(literal 1 binary64))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(/.f64 (exp.f64 x) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
Outputs
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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.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)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (+.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (*.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 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.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 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.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 (+.f64 (*.f64 (neg.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 (neg.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 (*.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 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (*.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 (neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 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 (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 (+.f64 (*.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 (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 (+.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 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.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 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 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 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 x))))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 (*.f64 #s(literal -1/6 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 (*.f64 #s(literal -1/6 binary64) x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal -1/6 binary64) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x))
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(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))) (*.f64 (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))) (-.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))) (-.f64 (*.f64 (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))) (*.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))))))
(/.f64 (+.f64 (*.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (*.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)) (sinh.f64 x))) (*.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.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)))) (*.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #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))))) (*.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.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)))) (*.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #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))))) (*.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(literal 4 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 (*.f64 (+.f64 (*.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 -1 binary64)) (*.f64 #s(literal 4 binary64) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 (*.f64 (+.f64 (*.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 1 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 (*.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 -1 binary64)) (*.f64 #s(literal 4 binary64) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 (*.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 1 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (exp.f64 (+.f64 x #s(literal 0 binary64)))) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 x)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))))
(/.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (sinh.f64 (neg.f64 x)) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(+.f64 (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))
(+.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) x))))

eval64.0ms (3.8%)

Memory
-4.5MiB live, 60.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 19 704 to 3 165 computations (83.9% saved)

prune15.0ms (0.9%)

Memory
4.4MiB live, 20.2MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New77311784
Fresh235
Picked235
Done011
Total77718795
Accuracy
100.0%
Counts
795 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
5.2%
(/.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
33.6%
(/.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
33.3%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.2%
(/.f64 (exp.f64 x) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
98.8%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))))))
90.3%
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
33.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
39.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
41.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
40.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
71.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
71.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
71.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
71.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
71.9%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
71.7%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
71.8%
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
Compiler

Compiled 489 to 156 computations (68.1% saved)

series17.0ms (1.0%)

Memory
1.2MiB live, 10.3MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951123
Stop Event
iter-limit
Counts
37 → 62
Calls
Call 1
Inputs
x
(exp.f64 x)
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal -1/720 binary64)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal -1/12 binary64)
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))
(+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x))
(+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
(*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))))))
Outputs
#s(approx x #s(literal 0 binary64))
#s(approx x x)
#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) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.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) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ 1 (* 1/2 x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/6 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* 1/12 x) -1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* (* x x) -1/720) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64))
#s(approx (- (* (* x x) -1/720) -1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (* (* x x) -1/720) x) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ (- (* 1/12 x) -1/2) (* (* (* x x) -1/720) x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
#s(approx (* x (+ (- (* 1/12 x) -1/2) (* (* (* x x) -1/720) x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* x (+ (- (* 1/12 x) -1/2) (* (* (* x x) -1/720) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
#s(approx (+ 1 (* x (+ (- (* 1/12 x) -1/2) (* (* (* x x) -1/720) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ 1 (* 1/2 x)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) (exp x)) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (+ 1/2 (* 1/6 x)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ 1/2 (* 1/6 x)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/12 x) -1/2) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (* x x) -1/720) -1/12) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (+ (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (/ 1 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 binary64))))
#s(approx (* x (+ (- (* 1/12 x) -1/2) (* (* (* x x) -1/720) x))) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (+ (- (* 1/12 x) -1/2) (* (* (* x x) -1/720) x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (* x (+ (- (* 1/12 x) -1/2) (* (* (* x x) -1/720) x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (+ 1 (* x (+ (- (* 1/12 x) -1/2) (* (* (* x x) -1/720) x)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 binary64))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (* (- (* (* x x) -1/720) -1/12) x) -1/2) (/ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
inf
2.0ms
x
-inf
2.0ms
x
0

rewrite144.0ms (8.6%)

Memory
-6.8MiB live, 66.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043320
070308
1352298
21464296
04176296
Stop Event
iter-limit
node-limit
iter-limit
Counts
37 → 953
Calls
Call 1
Inputs
x
(exp.f64 x)
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal -1/720 binary64)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal -1/12 binary64)
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))
(+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x))
(+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
(*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))))))
Outputs
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.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 (+.f64 (*.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 (+.f64 (*.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 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.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)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (+.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.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 (+.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 (+.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))
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(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (sinh.f64 (neg.f64 x)) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(+.f64 (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(+.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) (*.f64 (-.f64 (*.f64 #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))

eval66.0ms (4.0%)

Memory
9.2MiB live, 68.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 20 181 to 3 213 computations (84.1% saved)

prune18.0ms (1.1%)

Memory
-1.1MiB live, 24.0MiB allocated; 1ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New87512887
Fresh639
Picked235
Done044
Total88322905
Accuracy
100.0%
Counts
905 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
5.2%
(/.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
33.6%
(/.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
33.3%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.2%
(/.f64 (exp.f64 x) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
5.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x #s(literal 0 binary64)))) (exp.f64 (+.f64 x x))))
33.3%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
33.3%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
93.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
91.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
86.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
2.9%
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal -1 binary64)))
41.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
40.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
71.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
71.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
71.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
71.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
71.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
71.9%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
71.7%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
71.8%
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
Compiler

Compiled 454 to 187 computations (58.8% saved)

series60.0ms (3.6%)

Memory
-5.1MiB live, 42.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03562470
Stop Event
iter-limit
Counts
42 → 116
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
#s(literal -1/720 binary64)
(neg.f64 x)
(exp.f64 (neg.f64 x))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1/12 binary64)
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/24 binary64)
(*.f64 #s(literal -1/24 binary64) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))
(-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
(*.f64 x (*.f64 #s(literal -1/2 binary64) x))
(-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x))
(*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x)
(*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))
(-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x)))
(/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
Outputs
#s(approx x #s(literal 0 binary64))
#s(approx x x)
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#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 (- 1 (exp (neg x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (- 1 (exp (neg x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (exp (neg x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (* x x) -1/720) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64))
#s(approx (- (* (* x x) -1/720) -1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/24 x) (*.f64 #s(literal -1/24 binary64) x))
#s(approx (+ 1/6 (* -1/24 x)) #s(literal 1/6 binary64))
#s(approx (+ 1/6 (* -1/24 x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))
#s(approx (* x (+ 1/6 (* -1/24 x))) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* x (+ 1/6 (* -1/24 x))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))
#s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (* x (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- x (* x (* -1/2 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- x (* x (* -1/2 x))) (* x x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- x (* x (* -1/2 x))) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (log (- 1 (exp (neg x)))) (log.f64 x))
#s(approx (log (- 1 (exp (neg x)))) (+.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (- 1 (exp (neg x)))) (+.f64 (log.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (log (- 1 (exp (neg x)))) (+.f64 (log.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/2880 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (log (- 1 (exp (neg x)))) -1) (*.f64 #s(literal -1 binary64) (log.f64 x)))
#s(approx (* (log (- 1 (exp (neg x)))) -1) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (log (- 1 (exp (neg x)))) -1) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) x)))))
#s(approx (* (log (- 1 (exp (neg x)))) -1) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2880 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))))
#s(approx (exp (* (log (- 1 (exp (neg x)))) -1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (exp (* (log (- 1 (exp (neg x)))) -1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (*.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- 1 (exp (neg x))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (- (* (* x x) -1/720) -1/12) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ 1/6 (* -1/24 x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
#s(approx (* x (+ 1/6 (* -1/24 x))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/6 (* -1/24 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
#s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
#s(approx (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))))
#s(approx (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- (exp x) 1) (exp x)) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (- x (* x (* -1/2 x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- x (* x (* -1/2 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- x (* x (* -1/2 x))) (* x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (- 1 (exp (neg x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
#s(approx (* (log (- 1 (exp (neg x)))) -1) (*.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
#s(approx (exp (* (log (- 1 (exp (neg x)))) -1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 binary64))))
#s(approx (/ (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64))))
#s(approx (/ (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/720 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (- 1 (exp (neg x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (* (- (* (* x x) -1/720) -1/12) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/6 (* -1/24 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))))
#s(approx (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))))))
#s(approx (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64))))
#s(approx (log (- 1 (exp (neg x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* (log (- 1 (exp (neg x)))) -1) (*.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))
#s(approx (exp (* (log (- 1 (exp (neg x)))) -1)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64)))))
#s(approx (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64)))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/720 binary64)))))
#s(approx (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/720 binary64)))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (* x x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- x (* x (* (- -1/2 (* (- (* (* x x) -1/720) -1/12) x)) x))) (* x x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
Calls

3 calls:

TimeVariablePoint
25.0ms
x
inf
17.0ms
x
-inf
3.0ms
x
0

rewrite130.0ms (7.7%)

Memory
5.5MiB live, 59.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046349
075347
1371342
21535342
04147342
Stop Event
iter-limit
node-limit
iter-limit
Counts
42 → 675
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
#s(literal -1/720 binary64)
(neg.f64 x)
(exp.f64 (neg.f64 x))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1/12 binary64)
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/24 binary64)
(*.f64 #s(literal -1/24 binary64) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))
(-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64))))))
(*.f64 x (*.f64 #s(literal -1/2 binary64) x))
(-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x))
(*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x)
(*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))
(-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x)))
(/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
Outputs
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
#s(literal -1/720 binary64)
(neg.f64 x)
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.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 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (+.f64 (*.f64 (sinh.f64 (neg.f64 (neg.f64 x))) (sinh.f64 (neg.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.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))
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(+.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x)) (*.f64 x x)))
(*.f64 (pow.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) (exp.f64 x)))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (exp.f64 x) (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) (*.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 x)) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) x)) (*.f64 (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))) (exp.f64 x)))
(/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) x)) (*.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) (exp.f64 x)))
(/.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (*.f64 (exp.f64 x) (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))))
(/.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (*.f64 (exp.f64 x) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (/.f64 (cosh.f64 x) (exp.f64 x)) (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))) (/.f64 (/.f64 (sinh.f64 x) (exp.f64 x)) (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))))
(+.f64 (/.f64 (/.f64 (cosh.f64 x) (exp.f64 x)) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 (/.f64 (sinh.f64 x) (exp.f64 x)) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))) (/.f64 #s(literal 0 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))))

eval68.0ms (4.1%)

Memory
-0.1MiB live, 61.1MiB allocated; 12ms collecting garbage
Compiler

Compiled 18 257 to 3 466 computations (81.0% saved)

prune18.0ms (1.1%)

Memory
7.2MiB live, 22.8MiB allocated; 0ms collecting garbage
Pruning

27 alts after pruning (16 fresh and 11 done)

PrunedKeptTotal
New7858793
Fresh2810
Picked145
Done077
Total78827815
Accuracy
100.0%
Counts
815 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
5.2%
(/.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
33.6%
(/.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
33.3%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.2%
(/.f64 (exp.f64 x) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
5.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x #s(literal 0 binary64)))) (exp.f64 (+.f64 x x))))
33.3%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
33.3%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
76.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))))
93.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1/2 binary64)))))))
93.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
91.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(approx (+ 1/6 (* -1/24 x)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
86.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64)))))))
2.9%
(exp.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
41.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
40.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
30.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
71.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
71.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
71.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
71.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
71.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
71.9%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
71.7%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
71.8%
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x) x) x) (/.f64 #s(literal -1 binary64) x)))
71.8%
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
Compiler

Compiled 366 to 131 computations (64.2% saved)

regimes147.0ms (8.8%)

Memory
-9.0MiB live, 100.6MiB allocated; 8ms collecting garbage
Counts
1 → 1
2 → 1
5 → 1
7 → 1
11 → 1
16 → 1
25 → 1
26 → 2
28 → 2
30 → 1
42 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
Call 2
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Call 3
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
Call 4
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
Call 5
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
Call 6
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(approx (+ 1/6 (* -1/24 x)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
Call 7
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(approx (+ 1/6 (* -1/24 x)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x) x) x) (/.f64 #s(literal -1 binary64) x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
Call 8
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(approx (+ 1/6 (* -1/24 x)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x) x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))))
Call 9
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(approx (+ 1/6 (* -1/24 x)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x) x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
Call 10
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(approx (+ 1/6 (* -1/24 x)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x) x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))))))
Outputs
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
Call 11
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (- x (* x (* -1/2 x))) (* x x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 #s(approx (- (* (* x x) -1/720) -1/12) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (- (* x (+ 1/6 (* -1/24 x))) 1/2) #s(literal -1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(approx (+ 1/6 (* -1/24 x)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) x)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) x) x) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x)) x) x) x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (exp x) 1) (exp x)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)))))))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 x x))) (+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x #s(literal 0 binary64)))) (exp.f64 (+.f64 x x))))
(/.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
Outputs
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
Calls

32 calls:

11.0ms
x
8.0ms
x
8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms
(exp.f64 x)
7.0ms
x
Results
AccuracySegmentsBranch
3.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.2%1x
3.2%1(exp.f64 x)
71.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
71.1%1(exp.f64 x)
71.1%1x
71.6%1(exp.f64 x)
71.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
71.6%1x
71.7%1x
71.7%1(exp.f64 x)
71.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
86.3%1(exp.f64 x)
86.3%1x
86.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
91.7%1(exp.f64 x)
91.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
91.7%1x
93.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
93.3%1x
93.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
93.3%1(exp.f64 x)
96.5%2x
99.7%2(exp.f64 x)
98.8%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
99.7%2x
98.8%1(exp.f64 x)
98.8%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
98.8%1x
99.0%1(exp.f64 x)
99.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
99.0%1x
Compiler

Compiled 696 to 261 computations (62.5% saved)

bsearch2.0ms (0.1%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
-0.04888761955013809
-7.314769549848769e-6
Samples
1.0ms16×0valid
Compiler

Compiled 32 to 26 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-exp: 0.0ms (0.0% of total, 0.0 MiB)
adjust: 0.0ms (0.0% of total, 0.0 MiB)
ival-expm1: 0.0ms (0.0% of total, 0.0 MiB)
ival-div!: 0.0ms (0.0% of total, 0.0 MiB)

bsearch8.0ms (0.5%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
7.0ms
-1.3522634656145868e+111
-1.7713616140504295e+100
Samples
3.0ms96×0valid
Compiler

Compiled 358 to 170 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (55.2% of total, 0.2 MiB)
ival-expm1: 1.0ms (55.2% of total, 0.1 MiB)
adjust: 0.0ms (0.0% of total, 0.0 MiB)
ival-div!: 0.0ms (0.0% of total, 0.0 MiB)

derivations72.0ms (4.3%)

Memory
-0.3MiB live, 7.6MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 169 to 72 computations (57.4% saved)

preprocess48.0ms (2.9%)

Memory
-1.6MiB live, 68.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 176 to 77 computations (56.3% saved)

end0.0ms (0.0%)

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

Profiling

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