expm1 (example 3.7)

Time bar (total: 1.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample547.0ms (50.7%)

Memory
25.3MiB live, 820.9MiB allocated; 227ms collecting garbage
Samples
359.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-expm1: 103.0ms (99% of total)
adjust: 2.0ms (1.9% of total)
Bogosity

preprocess28.0ms (2.6%)

Memory
-39.9MiB live, 51.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
12914
29614
361214
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Compiler

Compiled 8 to 8 computations (0% saved)

series7.0ms (0.6%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03594
Stop Event
iter-limit
Counts
4 → 10
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
#s(approx (- (exp x) 1) 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) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
Calls

3 calls:

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

rewrite98.0ms (9.1%)

Memory
-4.0MiB live, 185.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1348
21048
34798
041176
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 301
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x))) (expm1.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 0 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 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (sinh.f64 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) (cosh.f64 x)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (sinh.f64 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) (cosh.f64 x)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x))) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))) (-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))) (+.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (-.f64 #s(literal 1 binary64) (sinh.f64 x)))) (+.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (expm1.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64))) (*.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.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) (neg.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (expm1.f64 x) (expm1.f64 x) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) (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 #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) (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 8 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) (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 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) (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 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))) #s(literal -8 binary64))
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(*.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1/4 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.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 2 binary64))
(/.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 2 binary64))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)))) (+.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)) (*.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))))
(/.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 x) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (cosh.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (sinh.f64 x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (sinh.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 x))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 x)
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (cosh.f64 x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)

eval34.0ms (3.1%)

Memory
26.2MiB live, 78.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 076 to 857 computations (79% saved)

prune7.0ms (0.7%)

Memory
-29.8MiB live, 16.8MiB allocated; 3ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3043307
Fresh000
Picked101
Done000
Total3053308
Accuracy
100.0%
Counts
308 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
100.0%
(expm1.f64 x)
99.2%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0.3%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039105
Stop Event
iter-limit
Counts
7 → 11
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
x
(expm1.f64 x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
#s(approx (- (exp x) 1) 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) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

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

rewrite119.0ms (11%)

Memory
24.9MiB live, 117.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01125
17125
219525
366125
0404625
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 325
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
x
(expm1.f64 x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
#s(approx (- (exp x) 1) x)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))) (+.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x))) (expm1.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -4 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)))) #s(literal 4 binary64))
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(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))))
(-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
(+.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
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(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
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(+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
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(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
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(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

eval54.0ms (5%)

Memory
5.1MiB live, 56.7MiB allocated; 41ms collecting garbage
Compiler

Compiled 4 934 to 983 computations (80.1% saved)

prune10.0ms (0.9%)

Memory
-35.0MiB live, 12.5MiB allocated; 8ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3281329
Fresh000
Picked123
Done000
Total3293332
Accuracy
100.0%
Counts
332 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
100.0%
(expm1.f64 x)
99.2%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 16 to 14 computations (12.5% saved)

series3.0ms (0.3%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041105
Stop Event
iter-limit
Counts
6 → 11
Calls
Call 1
Inputs
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (exp x) 1) 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) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

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

rewrite118.0ms (10.9%)

Memory
-3.2MiB live, 142.1MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
0920
15520
214220
342120
4331320
0402420
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 101
Calls
Call 1
Inputs
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (fma.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(-.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(+.f64 (-.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(+.f64 #s(literal -1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(+.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 x #s(literal -1 binary64))
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)

eval10.0ms (0.9%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 576 to 382 computations (75.8% saved)

prune4.0ms (0.3%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done022
Total1053108
Accuracy
100.0%
Counts
108 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
100.0%
(expm1.f64 x)
99.2%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes10.0ms (1%)

Memory
-30.7MiB live, 16.3MiB allocated; 3ms collecting garbage
Accuracy

Total -59.5b remaining (-12295.9%)

Threshold costs -59.5b (-12295.9%)

Counts
3 → 1
5 → 1
Calls
Call 1
Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
#s(approx (- (exp x) 1) x)
Call 2
Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(expm1.f64 x)
Calls

6 calls:

2.0ms
(exp.f64 x)
2.0ms
x
1.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
99.2%1(exp.f64 x)
99.2%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
99.2%1x
100.0%1(exp.f64 x)
100.0%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
100.0%1x
Compiler

Compiled 42 to 30 computations (28.6% saved)

derivations12.0ms (1.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 8 to 6 computations (25% saved)

preprocess15.0ms (1.4%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

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

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