expm1 (example 3.7)

Time bar (total: 618.0ms)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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)

sample335.0ms (54.1%)

Memory
-8.0MiB live, 270.4MiB allocated; 56ms collecting garbage
Samples
204.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-expm1: 64.0ms (98% of total)
adjust: 1.0ms (1.5% of total)
Bogosity

preprocess84.0ms (13.6%)

Memory
-2.7MiB live, 46.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
12914
29614
361214
4794814
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% saved)

series4.0ms (0.7%)

Memory
4.6MiB live, 4.6MiB 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:

TimeVariablePointExpression
0.0ms
x
@-inf
((- (exp x) 1) (exp x) x 1)
0.0ms
x
@inf
((- (exp x) 1) (exp x) x 1)
0.0ms
x
@0
((- (exp x) 1) (exp x) x 1)

rewrite43.0ms (6.9%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1348
02896
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
4 → 44
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(*.f64 (exp.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x)) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.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)))))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)

eval5.0ms (0.7%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 314 to 147 computations (53.2% saved)

prune2.0ms (0.3%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New47350
Fresh000
Picked101
Done000
Total48351
Accuracy
100.0%
Counts
51 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
100.0%
(expm1.f64 x)
98.0%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 13 to 13 computations (0% saved)

series2.0ms (0.4%)

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:

TimeVariablePointExpression
0.0ms
x
@-inf
((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (exp x) (+ 1 x) 1)
0.0ms
x
@inf
((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (exp x) (+ 1 x) 1)
0.0ms
x
@0
((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (exp x) (+ 1 x) 1)

rewrite45.0ms (7.3%)

Memory
-16.7MiB live, 29.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01125
17125
066625
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
7 → 79
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 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(*.f64 (exp.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x)) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.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 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp x) (-.f64 x #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)))))
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #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)))))
(/.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64)) (fma.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) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64)) (fma.f64 #s(approx (exp x) (-.f64 x #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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp x) (-.f64 x #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))) (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #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(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 #s(approx (exp x) (-.f64 x #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)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp x) (-.f64 x #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)))))
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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))
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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) 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 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

eval7.0ms (1.2%)

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

Compiled 684 to 259 computations (62.1% saved)

prune3.0ms (0.4%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh000
Picked123
Done000
Total83386
Accuracy
100.0%
Counts
86 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
100.0%
(expm1.f64 x)
98.0%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 14 to 14 computations (0% saved)

series3.0ms (0.4%)

Memory
2.5MiB live, 2.5MiB 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:

TimeVariablePointExpression
0.0ms
x
@-inf
((- (exp x) 1) (exp x) (- x -1) x -1 1)
0.0ms
x
@inf
((- (exp x) 1) (exp x) (- x -1) x -1 1)
0.0ms
x
@0
((- (exp x) 1) (exp x) (- x -1) x -1 1)

rewrite46.0ms (7.5%)

Memory
-24.8MiB live, 21.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
0920
15520
045120
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
6 → 47
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 #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 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp x) (-.f64 x #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)))))
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #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)))))
(/.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64)) (fma.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) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64)) (fma.f64 #s(approx (exp x) (-.f64 x #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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp x) (-.f64 x #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))) (fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #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 -1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (fma.f64 #s(approx (exp x) (-.f64 x #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)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp x) (-.f64 x #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)))))
(-.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 -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 -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))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 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 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)

eval5.0ms (0.7%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 480 to 177 computations (63.1% saved)

prune2.0ms (0.4%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New51051
Fresh000
Picked011
Done022
Total51354
Accuracy
100.0%
Counts
54 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
100.0%
(expm1.f64 x)
98.0%
#s(approx (- (exp x) 1) x)
Compiler

Compiled 31 to 30 computations (3.2% saved)

regimes5.0ms (0.8%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
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))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(expm1.f64 x)
Calls

3 calls:

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

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.6%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Accuracy

Total -57.9b remaining (-4439.2%)

Threshold costs -57.9b (-4439.2%)

Counts
3 → 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)
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
98.0%1(exp.f64 x)
98.0%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
98.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

derivations2.0ms (0.3%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 6 to 6 computations (0% saved)

preprocess21.0ms (3.4%)

Memory
-23.3MiB live, 22.8MiB allocated; 2ms collecting garbage
Compiler

Compiled 12 to 12 computations (0% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...