expq2 (section 3.11)

Time bar (total: 2.1s)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%75.2%24.8%0.0%0.0%0.0%0
0.0%0.0%75.2%24.8%0.0%0.0%0.0%1
50.0%37.6%37.6%24.8%0.0%0.0%0.0%2
75.0%56.4%18.8%24.8%0.0%0.0%0.0%3
87.5%65.8%9.4%24.8%0.0%0.0%0.0%4
93.8%70.5%4.7%24.8%0.0%0.0%0.0%5
96.9%72.8%2.3%24.8%0.0%0.0%0.0%6
98.4%74.0%1.2%24.8%0.0%0.0%0.0%7
99.2%74.6%0.6%24.8%0.0%0.0%0.0%8
99.6%74.9%0.3%24.8%0.0%0.0%0.0%9
99.8%75.0%0.1%24.8%0.0%0.0%0.0%10
99.9%75.1%0.1%24.8%0.0%0.0%0.0%11
100.0%75.1%0.0%24.8%0.0%0.0%0.0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample693.0ms (32.7%)

Memory
-21.5MiB live, 1 011.0MiB allocated; 264ms collecting garbage
Samples
492.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-exp: 104.0ms (50.0% of total)
ival-expm1: 55.0ms (26.4% of total)
ival-div!: 47.0ms (22.6% of total)
adjust: 2.0ms (1.0% of total)
Bogosity

preprocess30.0ms (1.4%)

Memory
-8.6MiB live, 35.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01026
14325
217525
3100323
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

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

series9.0ms (0.4%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059166
Stop Event
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

rewrite172.0ms (8.1%)

Memory
21.9MiB live, 301.4MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
14315
214115
368015
0418511
Stop Event
iter-limit
node-limit
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)

eval96.0ms (4.5%)

Memory
-18.0MiB live, 140.6MiB allocated; 34ms collecting garbage
Compiler

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

prune14.0ms (0.6%)

Memory
-9.4MiB live, 35.4MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5736579
Fresh000
Picked101
Done000
Total5746580
Accuracy
100.0%
Counts
580 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.7%
(/.f64 (fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
72.2%
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
72.6%
#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))
72.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
72.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 154 to 104 computations (32.5% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB 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
0.0ms0valid
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)

series22.0ms (1.0%)

Memory
6.0MiB live, 51.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0184699
Stop Event
iter-limit
Counts
24 → 47
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)
#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)
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(/.f64 (sinh.f64 x) (expm1.f64 x))
(sinh.f64 x)
(/.f64 (cosh.f64 x) (expm1.f64 x))
(cosh.f64 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 (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 (/ (sinh x) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (sinh x) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (sinh x) (- (exp x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (/ (cosh x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ (cosh x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 7/12 binary64) x) #s(literal 1/2 binary64)))) x))
#s(approx (/ (cosh x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 7/12 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))) x))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ (exp x) (- (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 (+ 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 (+ (/ (sinh x) (- (exp x) 1)) (/ (cosh x) (- (exp x) 1))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x)))))
#s(approx (/ (sinh x) (- (exp x) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x))))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ (cosh x) (- (exp x) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (/ (+ 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
7.0ms
x
-inf
5.0ms
x
inf
3.0ms
x
0

rewrite193.0ms (9.1%)

Memory
15.3MiB live, 303.3MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027130
044124
1213116
21045116
04213109
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 1 155
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)
#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)
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(/.f64 (sinh.f64 x) (expm1.f64 x))
(sinh.f64 x)
(/.f64 (cosh.f64 x) (expm1.f64 x))
(cosh.f64 x)
Outputs
(*.f64 (/.f64 (expm1.f64 x) (fabs.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (fabs.f64 (expm1.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 x) (expm1.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.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) (/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 (fma.f64 (sinh.f64 x) #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x)))) (*.f64 (/.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))))) (-.f64 (/.f64 (*.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.f64 (cosh.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 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))) (+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 (*.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.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 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x)))) (*.f64 (/.f64 (*.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.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)) (/.f64 #s(literal 1 binary64) (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)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (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 (neg.f64 (neg.f64 (cosh.f64 x))) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) (expm1.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 1 binary64) (neg.f64 (sinh.f64 (neg.f64 x)))) (expm1.f64 x))
(/.f64 (+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x)))) (expm1.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 x)) (expm1.f64 x))
(/.f64 (+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 x)) (expm1.f64 x))
(/.f64 (+.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (expm1.f64 x))
(/.f64 (+.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (expm1.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x)))) (expm1.f64 x))
(/.f64 (+.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (neg.f64 (cosh.f64 x)))) (expm1.f64 x))
(/.f64 (+.f64 (sinh.f64 x) (neg.f64 (neg.f64 (cosh.f64 x)))) (expm1.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (+.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (cosh.f64 x)) (expm1.f64 x))
(/.f64 (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (neg.f64 (cosh.f64 x)))) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (cosh.f64 x))) (expm1.f64 x))
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 (expm1.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x)) (*.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (*.f64 (cosh.f64 x) (expm1.f64 x)))) (*.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (expm1.f64 x) (*.f64 (expm1.f64 x) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 (expm1.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (expm1.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))) (*.f64 (expm1.f64 x) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (expm1.f64 x) (*.f64 (expm1.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (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 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.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))))
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(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))

eval124.0ms (5.8%)

Memory
-10.7MiB live, 221.6MiB allocated; 32ms collecting garbage
Compiler

Compiled 20 181 to 3 009 computations (85.1% saved)

prune17.0ms (0.8%)

Memory
-0.5MiB live, 45.9MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New9073910
Fresh011
Picked325
Done000
Total9106916
Accuracy
100.0%
Counts
916 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.7%
(/.f64 (fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
72.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
72.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
72.7%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
72.5%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 75 to 52 computations (30.7% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
1/12
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 6004799503160661/72057594037927936 binary64)
Samples
0.0ms0valid
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)

series21.0ms (1.0%)

Memory
7.0MiB live, 51.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199666
Stop Event
iter-limit
Counts
20 → 42
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x)))
(sinh.f64 x)
(expm1.f64 x)
(*.f64 (expm1.f64 x) (cosh.f64 x))
(cosh.f64 x)
(*.f64 (expm1.f64 x) (expm1.f64 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) 1/2) #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 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* x 1/2) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (sinh x) (- (exp x) 1)) (* (- (exp x) 1) (cosh x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ (* (sinh x) (- (exp x) 1)) (* (- (exp x) 1) (cosh x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 7/6 binary64) x))))))
#s(approx (+ (* (sinh x) (- (exp x) 1)) (* (- (exp x) 1) (cosh x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3/2 binary64) (*.f64 x (+.f64 #s(literal 7/6 binary64) (*.f64 #s(literal 5/8 binary64) x))))))))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (exp x) 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) 1) (cosh x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2/3 binary64) x))))))
#s(approx (* (- (exp x) 1) (cosh x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 7/24 binary64) x))))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (- (exp x) 1) (- (exp x) 1)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (- (exp x) 1) (- (exp x) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (exp x) 1) (- (exp x) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7/12 binary64) x))))))
#s(approx (* (- (exp x) 1) (- (exp x) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 7/12 binary64) (*.f64 #s(literal 1/4 binary64) x))))))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (+ 1/2 (/ 1 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 x (+.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) (/ 1 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 (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (sinh x) (- (exp x) 1)) (* (- (exp x) 1) (cosh x))) (* (- (exp x) 1) (- (exp x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (sinh x) (- (exp x) 1)) (* (- (exp x) 1) (cosh x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 x) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))))
#s(approx (sinh x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* (- (exp x) 1) (cosh x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (* (- (exp x) 1) (- (exp x) 1)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 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
9.0ms
x
-inf
3.0ms
x
inf
1.0ms
x
0

rewrite192.0ms (9.0%)

Memory
0.8MiB live, 376.8MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023113
039109
120399
291494
0413294
Stop Event
iter-limit
node-limit
iter-limit
Counts
20 → 919
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x)))
(sinh.f64 x)
(expm1.f64 x)
(*.f64 (expm1.f64 x) (cosh.f64 x))
(cosh.f64 x)
(*.f64 (expm1.f64 x) (expm1.f64 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 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.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 (/.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) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) x (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 x x))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
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(*.f64 (neg.f64 (neg.f64 (fabs.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (fabs.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (fabs.f64 (expm1.f64 x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (expm1.f64 x)) #s(literal 1 binary64)) (fabs.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1 binary64)) (expm1.f64 x))
(*.f64 (pow.f64 (expm1.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (expm1.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 (expm1.f64 x))) (neg.f64 (fabs.f64 (expm1.f64 x))))
(*.f64 (fabs.f64 (expm1.f64 x)) (fabs.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 x)))
(*.f64 (expm1.f64 x) (expm1.f64 x))
(pow.f64 (neg.f64 (fabs.f64 (expm1.f64 x))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (expm1.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(pow.f64 (expm1.f64 x) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (exp.f64 x) (expm1.f64 x))) (*.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (expm1.f64 x)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (expm1.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (*.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))) (-.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (*.f64 (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (*.f64 (expm1.f64 x) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (expm1.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (*.f64 (expm1.f64 x) #s(literal -1 binary64))))))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(fma.f64 (expm1.f64 x) (exp.f64 x) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))
(fma.f64 (exp.f64 x) (expm1.f64 x) (*.f64 #s(literal -1 binary64) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(fabs.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(+.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))
(+.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))

eval107.0ms (5.0%)

Memory
30.1MiB live, 260.8MiB allocated; 50ms collecting garbage
Compiler

Compiled 23 127 to 3 171 computations (86.3% saved)

prune17.0ms (0.8%)

Memory
6.8MiB live, 53.1MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New8373840
Fresh000
Picked224
Done022
Total8397846
Accuracy
100.0%
Counts
846 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.7%
(/.f64 (fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
72.7%
#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))))
72.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
72.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
72.5%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
3.4%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 96 to 67 computations (30.2% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/12
1
-1/2
Outputs
#s(literal 6004799503160661/72057594037927936 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
Samples
0.0ms0valid
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)

series8.0ms (0.4%)

Memory
-28.1MiB live, 18.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056166
Stop Event
iter-limit
Counts
12 → 12
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#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)
#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)))
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 (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx x x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 x (+.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) (/ 1 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) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 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
1.0ms
x
inf
1.0ms
x
0

rewrite169.0ms (8.0%)

Memory
1.5MiB live, 340.2MiB allocated; 72ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02086
02586
115484
250184
3179384
0406478
Stop Event
iter-limit
node-limit
iter-limit
Counts
12 → 344
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#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)
#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)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
x
#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 (/.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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.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 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
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(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
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(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) x))
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(+.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 0 binary64) x))
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
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eval57.0ms (2.7%)

Memory
20.6MiB live, 110.6MiB allocated; 14ms collecting garbage
Compiler

Compiled 11 209 to 1 570 computations (86.0% saved)

prune22.0ms (1.0%)

Memory
-33.4MiB live, 25.8MiB allocated; 13ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4961497
Fresh000
Picked033
Done044
Total4968504
Accuracy
100.0%
Counts
504 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.7%
(/.f64 (fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
72.7%
#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))))
72.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
72.1%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
72.5%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
3.1%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
3.4%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 111 to 78 computations (29.7% saved)

regimes49.0ms (2.3%)

Memory
15.9MiB live, 110.2MiB allocated; 7ms collecting garbage
Counts
1 → 1
2 → 1
3 → 1
7 → 1
10 → 1
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
Call 2
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x)))
Call 3
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Call 4
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #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))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Call 5
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #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)) (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 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
Outputs
#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))))
Call 6
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (+ (* 1/12 x) 1/2) (/ 1 x)) (*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #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)) (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 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (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)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

18 calls:

5.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
x
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.1%1x
3.1%1(exp.f64 x)
3.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.4%1(exp.f64 x)
3.4%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.4%1x
72.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
72.1%1(exp.f64 x)
72.1%1x
72.5%1(exp.f64 x)
72.5%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
72.5%1x
72.7%1(exp.f64 x)
72.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
72.7%1x
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 252 to 107 computations (57.5% saved)

derivations64.0ms (3.0%)

Memory
20.2MiB live, 115.9MiB allocated; 7ms collecting garbage
Stop Event
fuel
Compiler

Compiled 81 to 31 computations (61.7% saved)

preprocess45.0ms (2.1%)

Memory
2.6MiB live, 93.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 94 to 42 computations (55.3% saved)

end0.0ms (0.0%)

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

Profiling

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