Kahan's exp quotient

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample558.0ms (30.5%)

Memory
4.5MiB live, 797.2MiB allocated; 177ms collecting garbage
Samples
377.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-expm1: 130.0ms (69.9% of total)
ival-div!: 54.0ms (29.1% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess38.0ms (2.1%)

Memory
-17.1MiB live, 28.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
14820
221120
3129420
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

series6.0ms (0.3%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040147
Stop Event
iter-limit
Counts
5 → 14
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) 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) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (- (exp x) 1) 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) (+.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) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)
1.0ms
x
@inf
((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)
0.0ms
x
@0
((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)

rewrite63.0ms (3.4%)

Memory
8.8MiB live, 108.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
14514
039810
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
5 → 77
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) (*.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) 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 (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)

eval10.0ms (0.5%)

Memory
-24.3MiB live, 22.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 032 to 270 computations (73.8% saved)

prune2.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83487
Fresh000
Picked101
Done000
Total84488
Accuracy
100.0%
Counts
88 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 x) x)
64.8%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
53.3%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
53.2%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 40 to 33 computations (17.5% saved)

series8.0ms (0.4%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057244
Stop Event
iter-limit
Counts
15 → 20
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) 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) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/6 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* 1/6 x) (*.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) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* 1/6 x)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (exp x) 1) (expm1.f64 x))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* x (+ 1/2 (* 1/6 x)))) (* x (+ 1/2 (* 1/6 x))) (+ 1/2 (* 1/6 x)) (* 1/6 x) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1))
2.0ms
x
@-inf
((/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* x (+ 1/2 (* 1/6 x)))) (* x (+ 1/2 (* 1/6 x))) (+ 1/2 (* 1/6 x)) (* 1/6 x) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1))
1.0ms
x
@0
((/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* x (+ 1/2 (* 1/6 x)))) (* x (+ 1/2 (* 1/6 x))) (+ 1/2 (* 1/6 x)) (* 1/6 x) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1))

rewrite70.0ms (3.8%)

Memory
-28.3MiB live, 63.8MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872
02572
113272
0123764
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
15 → 252
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
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(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
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(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
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(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
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(*.f64 (exp.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
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(neg.f64 (neg.f64 (expm1.f64 x)))
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(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
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(-.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))))
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(-.f64 (exp.f64 x) #s(literal 1 binary64))
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(+.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))

eval33.0ms (1.8%)

Memory
23.8MiB live, 68.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 833 to 877 computations (81.9% saved)

prune6.0ms (0.3%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2573260
Fresh000
Picked224
Done000
Total2595264
Accuracy
100.0%
Counts
264 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 x) x)
64.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
53.3%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
53.2%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
53.2%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 57 to 45 computations (21.1% saved)

series10.0ms (0.6%)

Memory
-33.5MiB live, 12.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056209
Stop Event
iter-limit
Counts
14 → 18
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) 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) 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 x x)
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1/2 (/ 1 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* x (+ 1/2 (/ 1 x))) x (+ 1/2 (/ 1 x)) 1/2 (/ 1 x) 1 (/ (- (exp x) 1) x) (+ (* x 1/2) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6)
1.0ms
x
@inf
((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* x (+ 1/2 (/ 1 x))) x (+ 1/2 (/ 1 x)) 1/2 (/ 1 x) 1 (/ (- (exp x) 1) x) (+ (* x 1/2) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6)
1.0ms
x
@0
((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* x (+ 1/2 (/ 1 x))) x (+ 1/2 (/ 1 x)) 1/2 (/ 1 x) 1 (/ (- (exp x) 1) x) (+ (* x 1/2) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6)

rewrite708.0ms (38.7%)

Memory
-68.6MiB live, 299.5MiB allocated; 871ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01992
02893
117281
2162581
0872175
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 727
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
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(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/6 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))
(fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))
(+.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
#s(literal 1/6 binary64)

eval65.0ms (3.6%)

Memory
20.9MiB live, 153.4MiB allocated; 28ms collecting garbage
Compiler

Compiled 19 598 to 2 497 computations (87.3% saved)

prune21.0ms (1.1%)

Memory
-11.6MiB live, 39.7MiB allocated; 15ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5574561
Fresh000
Picked123
Done022
Total5588566
Accuracy
100.0%
Counts
566 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 x) x)
64.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
64.3%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
53.3%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
53.2%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
53.0%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
3.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
53.2%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 116 to 88 computations (24.1% saved)

series6.0ms (0.4%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056206
Stop Event
iter-limit
Counts
21 → 18
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) 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) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1/2 (/ 1 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* x (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ 1 x) 1 (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* (- (/ 1 x) -1/2) x) (- (/ 1 x) -1/2) -1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) 1/6)
1.0ms
x
@inf
((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* x (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ 1 x) 1 (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* (- (/ 1 x) -1/2) x) (- (/ 1 x) -1/2) -1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) 1/6)
1.0ms
x
@0
((/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* x (+ 1/2 (/ 1 x))) (+ 1/2 (/ 1 x)) (/ 1 x) 1 (/ (- (exp x) 1) x) (+ 1 (* 1/2 x)) (* (- (/ 1 x) -1/2) x) (- (/ 1 x) -1/2) -1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (* 1/6 x) 1/6)

rewrite77.0ms (4.2%)

Memory
-3.4MiB live, 134.6MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030185
038185
1173179
01647159
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
21 → 182
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) x) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x)
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(neg.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)) #s(literal 1 binary64)) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x)
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)) #s(literal 1 binary64)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x))) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)))))
(*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)))
(fma.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64))))
(-.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))) x (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x)))))
(+.f64 (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

eval43.0ms (2.4%)

Memory
13.9MiB live, 61.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 5 256 to 814 computations (84.5% saved)

prune11.0ms (0.6%)

Memory
-22.6MiB live, 22.2MiB allocated; 9ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1940194
Fresh000
Picked044
Done044
Total1948202
Accuracy
100.0%
Counts
202 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 x) x)
64.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
64.3%
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
53.3%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
53.2%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
53.0%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
3.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
53.2%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 116 to 88 computations (24.1% saved)

regimes31.0ms (1.7%)

Memory
1.2MiB live, 90.9MiB allocated; 13ms collecting garbage
Accuracy

Total -32.1b remaining (-30.5%)

Threshold costs -32.1b (-30.5%)

Counts
2 → 1
5 → 1
8 → 1
9 → 1
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Call 2
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
Call 3
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
Call 4
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Call 5
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) x)
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
(/.f64 (expm1.f64 x) x)
Calls

10 calls:

5.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
4.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms
x
3.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
53.2%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
53.2%1x
53.3%1x
53.3%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
64.3%1x
64.3%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
64.8%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
64.8%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
100.0%1x
Compiler

Compiled 205 to 84 computations (59% saved)

derivations11.0ms (0.6%)

Memory
34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 56 to 24 computations (57.1% saved)

preprocess50.0ms (2.7%)

Memory
-12.1MiB live, 124.2MiB allocated; 32ms collecting garbage
Compiler

Compiled 84 to 41 computations (51.2% saved)

end0.0ms (0%)

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

Profiling

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