expm1 (example 3.7)

Time bar (total: 953.0ms)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%50.0%50.0%0.0%0.0%0.0%0
100.0%50.0%0.0%50.0%0.0%0.0%0.0%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample436.0ms (45.7%)

Memory
-19.4MiB live, 747.3MiB allocated; 147ms collecting garbage
Samples
255.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-expm1: 59.0ms (97.6% of total)
adjust: 2.0ms (3.3% of total)
Bogosity

preprocess25.0ms (2.7%)

Memory
-2.2MiB live, 44.6MiB allocated; 6ms 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
8.5%
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Compiler

Compiled 8 to 8 computations (0.0% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
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)

series7.0ms (0.7%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03593
Stop Event
iter-limit
Counts
4 → 10
Calls
Call 1
Inputs
x
(exp.f64 x)
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
#s(approx x x)
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
Calls

3 calls:

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

rewrite197.0ms (20.7%)

Memory
-16.1MiB live, 225.8MiB allocated; 172ms 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
x
(exp.f64 x)
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
x
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (pow.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (*.f64 #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))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x 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))
#s(literal 1 binary64)
(*.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))
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(/.f64 (*.f64 #s(literal 2 binary64) (expm1.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 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.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 (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 (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 (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 (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 (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) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (expm1.f64 x))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(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 x)
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))) (sinh.f64 x) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))) (sinh.f64 x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 x)) (cosh.f64 x))) (cosh.f64 x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x))) (expm1.f64 x) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(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 1/4 binary64) #s(literal -1 binary64))
(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 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 1/4 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 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 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (sinh.f64 x) #s(literal -2 binary64)) (cosh.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 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 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 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 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)))) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)))) (sinh.f64 x))
(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 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 (cosh.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 #s(literal 1 binary64) (sinh.f64 x)))
(-.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 (cosh.f64 x) #s(literal 1 binary64)) (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 #s(literal -2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (sinh.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 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 (expm1.f64 x) #s(literal 0 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval29.0ms (3.0%)

Memory
23.8MiB live, 68.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 4 080 to 860 computations (78.9% saved)

prune15.0ms (1.6%)

Memory
-21.6MiB live, 21.3MiB allocated; 9ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3053308
Fresh000
Picked101
Done000
Total3063309
Accuracy
100.0%
Counts
309 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
5.4%
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 x)
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB 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)

series4.0ms (0.4%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
Stop Event
iter-limit
Counts
8 → 11
Calls
Call 1
Inputs
x
(expm1.f64 x)
#s(literal 1 binary64)
#s(approx (exp x) #s(literal 1 binary64))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
#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) #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

rewrite153.0ms (16.0%)

Memory
33.5MiB live, 223.7MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01331
18931
223931
374231
0405931
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 332
Calls
Call 1
Inputs
x
(expm1.f64 x)
#s(literal 1 binary64)
#s(approx (exp x) #s(literal 1 binary64))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
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 (-.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 (+.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 (+.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))
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(/.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(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)))))
(neg.f64 (-.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(literal 2 binary64)) #s(literal 2 binary64)) #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 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))

eval34.0ms (3.5%)

Memory
-36.9MiB live, 57.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 284 to 1 104 computations (79.1% saved)

prune6.0ms (0.7%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3370337
Fresh000
Picked303
Done-330
Total3373340
Accuracy
100.0%
Counts
340 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
5.4%
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 x)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes15.0ms (1.6%)

Memory
-14.3MiB live, 32.3MiB allocated; 2ms collecting garbage
Counts
1 → 1
2 → 1
4 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
Call 2
Inputs
(-.f64 #s(approx (exp 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
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Call 3
Inputs
(-.f64 #s(approx (exp 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

9 calls:

3.0ms
x
2.0ms
x
2.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
5.4%1(exp.f64 x)
5.4%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
5.4%1x
7.5%1(exp.f64 x)
7.5%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
7.5%1x
100.0%1(exp.f64 x)
100.0%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
100.0%1x
Compiler

Compiled 41 to 32 computations (22.0% saved)

derivations12.0ms (1.3%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 16 to 9 computations (43.8% saved)

preprocess20.0ms (2.1%)

Memory
-6.1MiB live, 40.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 22 to 15 computations (31.8% saved)

end0.0ms (0.0%)

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

Profiling

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