expq2 (section 3.11)

Time bar (total: 2.3s)

start0.0ms (0.0%)

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

analyze1.0ms (0.1%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample499.0ms (21.9%)

Memory
18.1MiB live, 433.3MiB allocated; 121ms collecting garbage
Samples
339.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-exp: 91.0ms (49.6% of total)
ival-expm1: 48.0ms (26.2% of total)
ival-div!: 43.0ms (23.4% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess26.0ms (1.1%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01026
14325
217525
3100323
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.9%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

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

series9.0ms (0.4%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059166
Stop Event
1×iter-limit
Counts
5 → 15
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#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) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (- (exp x) 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 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
Calls

3 calls:

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

rewrite137.0ms (6.0%)

Memory
-4.6MiB live, 135.3MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
14315
214115
368015
0418511
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
5 → 568
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (*.f64 (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))))) (+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))) (+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (fma.f64 (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (fma.f64 (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)) (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x))))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (cosh.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x) (*.f64 (neg.f64 (expm1.f64 x)) (cosh.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (neg.f64 (cosh.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (expm1.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 x) (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) (neg.f64 (cosh.f64 x)))) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (expm1.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (expm1.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fma.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 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fma.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 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fma.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 #s(literal -2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.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)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) #s(literal 4 binary64)))
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(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.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)) #s(literal 8 binary64))
(/.f64 (fma.f64 (fma.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)) #s(literal -8 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal -8 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 8 binary64)) #s(literal -8 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.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)) #s(literal 8 binary64))
(/.f64 (fma.f64 (fma.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)) #s(literal -8 binary64))
(/.f64 (fma.f64 (fma.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)) #s(literal 8 binary64))
(/.f64 (fma.f64 (fma.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)) #s(literal -8 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) (*.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 4 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))) #s(literal -8 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) (*.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 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal -8 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal -8 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal -8 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 x))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 0 binary64))))
(expm1.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) x))
(expm1.f64 (neg.f64 (neg.f64 x)))
(expm1.f64 x)
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) #s(literal 1 binary64)) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)

eval58.0ms (2.5%)

Memory
-8.7MiB live, 81.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 12 191 to 1 912 computations (84.3% saved)

prune11.0ms (0.5%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5745579
Fresh000
Picked101
Done000
Total5755580
Accuracy
100.0%
Counts
580 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
▶4.1%
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶74.2%
#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))
▶74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
▶74.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 130 to 88 computations (32.3% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
1/12
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

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

series11.0ms (0.5%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095416
Stop Event
1×iter-limit
Counts
23 → 31
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 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))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(+.f64 #s(literal 1 binary64) (*.f64 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 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
Outputs
#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) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx x x)
#s(approx (- (exp x) 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 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 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 (* x (+ 1/2 (* 1/12 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
#s(approx (+ 1/2 (* 1/12 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/12 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (+ 1 (* 1/2 x)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (*.f64 x (+.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)))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.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)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* 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) (fma.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 #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)))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
inf
2.0ms
x
-inf
1.0ms
x
0

rewrite148.0ms (6.5%)

Memory
-28.9MiB live, 157.0MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026137
041137
1201129
2744129
33082129
05014122
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
23 → 815
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 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))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(+.f64 #s(literal 1 binary64) (*.f64 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 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (expm1.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x))) (expm1.f64 x))
(/.f64 (neg.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (sinh.f64 x) (expm1.f64 x)))) (neg.f64 (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (sinh.f64 x)))) (neg.f64 (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) (expm1.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (expm1.f64 x))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (sinh.f64 x) (expm1.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (sinh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (exp.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(fma.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.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 (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 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 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 (neg.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.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 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.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))) (fma.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))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #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))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (exp.f64 x)))
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(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal -1/12 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(neg.f64 (*.f64 #s(literal -1/12 binary64) x))
#s(literal 1/12 binary64)

eval95.0ms (4.2%)

Memory
12.0MiB live, 150.6MiB allocated; 29ms collecting garbage
Compiler

Compiled 17 083 to 3 109 computations (81.8% saved)

prune21.0ms (0.9%)

Memory
-11.9MiB live, 34.1MiB allocated; 6ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New8295834
Fresh000
Picked325
Done000
Total8327839
Accuracy
100.0%
Counts
839 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
▶74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶34.4%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 x x)))
▶74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
✓74.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 186 to 134 computations (28.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1/2
1/12
1/2
Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

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

series12.0ms (0.5%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159674
Stop Event
1×iter-limit
Counts
22 → 38
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 x x))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 x x)
Outputs
#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 x x)
#s(approx (+ (* 1/12 x) (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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 (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (- (/ 1 x) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* x 1/12) (- (/ 1 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 1/12) (- (/ 1 x) -1/2)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.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 x) (/ 1 x)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (/.f64 #s(literal 12 binary64) x))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (/.f64 (-.f64 #s(literal 12 binary64) (*.f64 #s(literal 72 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 288 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 72 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 288 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 72 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 864 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.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 (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.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 (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.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 1/12) (- (/ 1 x) -1/2)) (*.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 x) 1/2) x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 12 binary64)) x)))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 72 binary64)) x)) #s(literal 12 binary64)) x)))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 864 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 288 binary64)) x)) #s(literal 72 binary64)) x)) #s(literal 12 binary64)) x)))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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 1/12 binary64)))))
Calls

3 calls:

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

rewrite234.0ms (10.3%)

Memory
3.5MiB live, 218.3MiB allocated; 153ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025176
040160
1239160
2874160
04177150
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
22 → 2 514
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 x x))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 x x)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (copysign.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (copysign.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
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(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) x))))
(neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x)
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)
(fma.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (neg.f64 x))
(-.f64 x (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x)
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) x)
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) x)
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(+.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval171.0ms (7.5%)

Memory
-7.3MiB live, 310.0MiB allocated; 62ms collecting garbage
Compiler

Compiled 33 395 to 4 184 computations (87.5% saved)

prune31.0ms (1.3%)

Memory
16.7MiB live, 62.4MiB allocated; 8ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 29561 301
Fresh000
Picked325
Done022
Total1 298101 308
Accuracy
100.0%
Counts
1 308 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
34.7%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
▶48.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
✓74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
▶91.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))))
▶88.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
✓74.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
✓74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 332 to 233 computations (29.8% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/6
1/2
1/12
-1/2
Outputs
#s(literal 1 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 1/2 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal -1/2 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

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

series26.0ms (1.1%)

Memory
-33.6MiB live, 23.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071047
Stop Event
1×iter-limit
Counts
32 → 57
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (-.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 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
Outputs
#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 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) x)
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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 (* x (- (* 1/6 x) 1/2))) #s(literal 1 binary64))
#s(approx (+ 1 (* x (- (* 1/6 x) 1/2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ 1 (* x (- (* 1/6 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 (* x (- (* 1/6 x) 1/2)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* x (- (* 1/6 x) 1/2)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
#s(approx (- (* 1/6 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/6 x) 1/2) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* 1/12 x) (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ 1 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.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 (+ (* (+ (* 1/12 x) 1/2) x) 1)) (/.f64 #s(literal 12 binary64) x))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (/.f64 (-.f64 #s(literal 12 binary64) (*.f64 #s(literal 72 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 288 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 72 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 288 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 72 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 864 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x))
#s(approx (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) (*.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 (- (* 1/6 x) 1/2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (- (* 1/6 x) 1/2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* x (- (* 1/6 x) 1/2))) (*.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 (- (* 1/6 x) 1/2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/6 x) 1/2) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.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 x) 1/2) x) 1) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.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 (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.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 x) (/ 1 x)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x (+ 1 (* -1/2 x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* -1/2 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* -1/2 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (/ 1 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1))) (*.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 x) 1/2) x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 72 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 12 binary64)) x)))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 72 binary64)) x)) #s(literal 12 binary64)) x)))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 864 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 288 binary64)) x)) #s(literal 72 binary64)) x)) #s(literal 12 binary64)) x)))
#s(approx (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))
#s(approx (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.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)))))
#s(approx (+ 1 (* x (- (* 1/6 x) 1/2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))))
#s(approx (- (* 1/6 x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))
#s(approx (* x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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 1/12 binary64)))))
#s(approx (+ 1 (* -1/2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

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

rewrite142.0ms (6.2%)

Memory
22.0MiB live, 217.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044345
061343
1323339
21085335
04089288
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
32 → 830
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (-.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 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #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 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #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 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
(pow.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) x) x)
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) x)
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #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 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) x))
(/.f64 (neg.f64 x) (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (neg.f64 x)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 x) (*.f64 x (neg.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #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 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.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 (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
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#s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(neg.f64 (neg.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) x)) x)
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (+.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (-.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))))
(neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) x)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) x)
(fma.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) x)
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x))
(-.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) x)
(+.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 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 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) x)
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 x #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) x))

eval115.0ms (5.0%)

Memory
8.4MiB live, 193.5MiB allocated; 51ms collecting garbage
Compiler

Compiled 28 749 to 3 582 computations (87.5% saved)

prune51.0ms (2.2%)

Memory
7.4MiB live, 53.6MiB allocated; 6ms collecting garbage
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New8589867
Fresh011
Picked235
Done134
Total86116877
Accuracy
100.0%
Counts
877 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
34.7%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
✓48.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
37.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
54.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) x)))
51.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) x)))
91.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))))
91.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x x))))
88.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))))
91.6%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))))
88.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
✓74.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
✓74.2%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
47.5%
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
✓3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 381 to 260 computations (31.8% saved)

regimes157.0ms (6.9%)

Memory
-36.4MiB live, 294.6MiB allocated; 32ms collecting garbage
Counts
1 → 1
4 → 1
6 → 2
9 → 2
13 → 1
16 → 2
19 → 1
22 → 2
24 → 2
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Call 2
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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 binary64) x))
Call 3
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Call 4
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (/.f64 #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
Call 5
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))))
Call 6
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
Call 7
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x x))))
Call 8
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #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 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
Call 9
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #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 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 x x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
Call 10
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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) x) #s(literal -1/2 binary64)))
#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(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) (*.f64 x x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 x (*.f64 x x)) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 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 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x) x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #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 x #s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.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) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 x (*.f64 #s(approx (/ x (+ (* (+ (* 1/12 x) 1/2) x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

29 calls:

24.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
11.0ms
x
7.0ms
x
7.0ms
(exp.f64 x)
7.0ms
x
Results
AccuracySegmentsBranch
3.2%1(exp.f64 x)
3.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.2%1x
74.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
74.3%1x
74.3%1(exp.f64 x)
88.7%2(exp.f64 x)
88.7%2x
88.9%2(exp.f64 x)
88.5%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
88.9%2x
88.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
88.7%1(exp.f64 x)
88.7%1x
91.6%2x
91.6%2(exp.f64 x)
91.5%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
91.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
91.6%1(exp.f64 x)
91.6%1x
93.8%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
94.1%2(exp.f64 x)
94.1%2x
94.2%2(exp.f64 x)
94.2%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
94.2%2x
100.0%1(exp.f64 x)
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1x
Compiler

Compiled 664 to 204 computations (69.3% saved)

bsearch4.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
-1399953.3448381107
-6.193876942073487e-6
Samples
2.0ms48×0valid
Compiler

Compiled 157 to 116 computations (26.1% saved)

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

bsearch10.0ms (0.4%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
-1399953.3448381107
-6.193876942073487e-6
Samples
4.0ms112×0valid
Compiler

Compiled 470 to 338 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (45.3% of total)
ival-expm1: 1.0ms (45.3% of total)
ival-div!: 1.0ms (45.3% of total)
adjust: 0.0ms (0.0% of total)

bsearch12.0ms (0.5%)

Memory
-33.9MiB live, 7.3MiB allocated; 13ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-1399953.3448381107
-6.193876942073487e-6
Compiler

Compiled 470 to 348 computations (26.0% saved)

bsearch2.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-1399953.3448381107
-6.193876942073487e-6
Compiler

Compiled 420 to 318 computations (24.3% saved)

bsearch0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.99999380614224
Compiler

Compiled 11 to 9 computations (18.2% saved)

derivations211.0ms (9.2%)

Memory
34.5MiB live, 227.0MiB allocated; 50ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 337 to 77 computations (77.2% saved)

preprocess89.0ms (3.9%)

Memory
-7.9MiB live, 174.3MiB allocated; 30ms collecting garbage
Compiler

Compiled 350 to 88 computations (74.9% saved)

end0.0ms (0.0%)

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

Profiling

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