NMSE Section 6.1 mentioned, A

Time bar (total: 6.6s)

start0.0ms (0%)

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

analyze29.0ms (0.4%)

Memory
32.2MiB live, 77.0MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.7s (40.5%)

Memory
48.1MiB live, 4 100.5MiB allocated; 906ms collecting garbage
Samples
1.0s2 396×1valid
863.0ms5 859×0valid
130.0ms920×0exit
2.0ms11×1exit
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-exp: 463.0ms (28.1% of total)
ival-mult!: 358.0ms (21.8% of total)
adjust: 276.0ms (16.8% of total)
ival-neg: 199.0ms (12.1% of total)
ival-div!: 174.0ms (10.6% of total)
ival-sub!: 89.0ms (5.4% of total)
ival-add!: 87.0ms (5.3% of total)
Bogosity

preprocess51.0ms (0.8%)

Memory
-19.2MiB live, 38.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063180
1295162
21211162
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Symmetry

(abs eps)

Compiler

Compiled 50 to 38 computations (24% saved)

series61.0ms (0.9%)

Memory
3.4MiB live, 50.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04903947
Stop Event
iter-limit
Counts
19 → 104
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x (-.f64 eps #s(literal 1 binary64))))
#s(approx (* (- 1 eps) x) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
#s(approx x x)
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
#s(approx (exp (neg (* (+ 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
#s(approx (exp (neg (* (+ 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
#s(approx (* (+ 1 eps) x) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
#s(approx (neg (* (- 1 eps) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))))
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) eps)))
#s(approx (neg (* (- 1 eps) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) x))))
#s(approx (* (- 1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (- 1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* (+ 1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
eps
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
3.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
3.0ms
x
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
2.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
2.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)

rewrite243.0ms (3.7%)

Memory
55.9MiB live, 376.9MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019141
034141
1170133
2703131
34600127
08815123
Stop Event
iter-limit
node-limit
iter-limit
Counts
19 → 1 284
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 eps #s(literal -1 binary64)))) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 eps #s(literal -1 binary64)))) eps))
(*.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 eps #s(literal -1 binary64)))) eps)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 eps #s(literal -1 binary64)))) eps) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 eps #s(literal -1 binary64)))) eps) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 eps #s(literal -1 binary64)))) eps) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 eps #s(literal -1 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x)))) #s(literal -2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x))))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x))))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 x eps x))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))))) #s(literal 4 binary64))
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#s(literal 2 binary64)

eval679.0ms (10.2%)

Memory
-134.0MiB live, 313.5MiB allocated; 979ms collecting garbage
Compiler

Compiled 17 608 to 6 633 computations (62.3% saved)

prune28.0ms (0.4%)

Memory
4.9MiB live, 55.9MiB allocated; 8ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1 37171 378
Fresh000
Picked101
Done000
Total1 37271 379
Accuracy
100.0%
Counts
1 379 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
38.5%
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37.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
41.6%
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
54.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))))
99.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
41.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Compiler

Compiled 400 to 352 computations (12% saved)

series50.0ms (0.8%)

Memory
-9.3MiB live, 81.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06395133
Stop Event
iter-limit
Counts
43 → 139
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
x
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
#s(literal -1 binary64)
(exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 binary64) eps)
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))))
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(-.f64 eps #s(literal 1 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) #s(literal 2 binary64))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (neg (* x (- 1 eps))) (*.f64 x (-.f64 eps #s(literal 1 binary64))))
#s(approx (* x (- 1 eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
#s(approx x x)
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) #s(literal 1 binary64)))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))))))) #s(literal 1 binary64)))
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))))
#s(approx (neg (* x (+ 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
#s(approx (* x (+ 1 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (neg.f64 x))))))))) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))))))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x))))))) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x))))))) eps))
#s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))
#s(approx (+ 1 (/ 1 eps)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))))) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x)))))))))) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)) eps))
#s(approx (+ 1 (* x (- eps 1))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 eps x))))
#s(approx (* x (- eps 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 eps x)))
#s(approx (- eps 1) (-.f64 eps #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) eps))))
#s(approx (neg (* x (- 1 eps))) (*.f64 eps x))
#s(approx (neg (* x (- 1 eps))) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal -1 binary64) x))))
#s(approx (* x (- 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (* x (- 1 eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps))))
#s(approx (- 1 eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- 1 eps) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (neg (* x (+ 1 eps))) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) x)))
#s(approx (* x (+ 1 eps)) (*.f64 eps (+.f64 x (/.f64 x eps))))
#s(approx (+ 1 eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))
#s(approx (+ 1 (* x (- eps 1))) (*.f64 eps (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* x (- eps 1)) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))
#s(approx (- eps 1) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))
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#s(approx (* x (- 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (- 1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (exp (neg (* x (+ 1 eps)))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (neg (* x (+ 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* x (+ 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
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#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) eps)))
#s(approx (+ 1 (* x (- eps 1))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) eps))))))
#s(approx (* x (- eps 1)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))))
#s(approx (- eps 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1))
3.0ms
eps
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1))
3.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1))
3.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1))
3.0ms
x
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1))

rewrite445.0ms (6.7%)

Memory
12.7MiB live, 294.0MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058545
094522
1397509
21492501
08619479
Stop Event
iter-limit
node-limit
iter-limit
Counts
43 → 1 871
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
x
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
#s(literal -1 binary64)
(exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 binary64) eps)
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))))
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(-.f64 eps #s(literal 1 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
(*.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))))) (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x)))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x)))))))
(/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))))
(neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal -2 binary64)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))))
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#s(literal 1 binary64)
eps
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#s(literal -1 binary64)
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eval371.0ms (5.6%)

Memory
49.7MiB live, 598.7MiB allocated; 123ms collecting garbage
Compiler

Compiled 30 044 to 9 005 computations (70% saved)

prune47.0ms (0.7%)

Memory
-9.1MiB live, 127.7MiB allocated; 14ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2 06992 078
Fresh022
Picked415
Done000
Total2 073122 085
Accuracy
100.0%
Counts
2 085 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
37.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
21.1%
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
31.8%
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
99.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
54.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))))
65.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
60.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
59.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
70.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))))
40.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
41.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Compiler

Compiled 770 to 705 computations (8.4% saved)

series54.0ms (0.8%)

Memory
18.5MiB live, 110.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06614489
Stop Event
iter-limit
Counts
42 → 143
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
x
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(-.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))))))
#s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))))
#s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))))))))))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) #s(literal 2 binary64))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))))))))) #s(literal 1 binary64)))))
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))))
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
#s(approx x x)
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (* (- eps 1) x) (*.f64 x (-.f64 eps #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* x (- 1 eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
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#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))
#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x)))
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x))))))
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (neg (* x (- 1 eps))) (-.f64 (*.f64 eps x) x))
#s(approx (* x (- 1 eps)) (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 eps x))))
#s(approx (- 1 eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x))))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 (+.f64 x (*.f64 eps x)) #s(literal 1 binary64)))
#s(approx (* x (+ 1 eps)) (+.f64 x (*.f64 eps x)))
#s(approx (+ 1 eps) (+.f64 #s(literal 1 binary64) eps))
#s(approx (+ 1 (* x (- eps 1))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 eps x))))
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))))))
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))))))
#s(approx (neg (* x (+ 1 eps))) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) x))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) eps))))
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (* (- -1 eps) x) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))
#s(approx (- -1 eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- -1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* (- eps 1) x) (*.f64 eps x))
#s(approx (* (- eps 1) x) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))
#s(approx (- eps 1) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (neg (* x (- 1 eps))) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal -1 binary64) x))))
#s(approx (* x (- 1 eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps))))
#s(approx (- 1 eps) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 eps (-.f64 (+.f64 x (/.f64 x eps)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* x (+ 1 eps)) (*.f64 eps (+.f64 x (/.f64 x eps))))
#s(approx (+ 1 eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ 1 (* x (- eps 1))) (*.f64 eps (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (neg (* x (+ 1 eps))) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))
#s(approx (exp (* (- -1 eps) x)) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (/.f64 x eps)))))
#s(approx (exp (* (- eps 1) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (- eps 1) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))))
#s(approx (- eps 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
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#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (neg (* x (- 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) x))))
#s(approx (* x (- 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (- 1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) eps))))))
#s(approx (* x (+ 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (+ 1 (* x (- eps 1))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) eps))))))
#s(approx (exp (neg (* x (+ 1 eps)))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (neg (* x (+ 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 #s(literal -1 binary64) x)))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 eps x (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (* -1 (exp (neg (* x (+ 1 eps))))) (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))))
3.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 eps x (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (* -1 (exp (neg (* x (+ 1 eps))))) (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))))
3.0ms
x
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 eps x (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (* -1 (exp (neg (* x (+ 1 eps))))) (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))))
3.0ms
eps
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 eps x (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (* -1 (exp (neg (* x (+ 1 eps))))) (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))))
3.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 eps x (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (* -1 (exp (neg (* x (+ 1 eps))))) (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))))

rewrite224.0ms (3.4%)

Memory
-6.2MiB live, 429.3MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067616
099577
1478550
21791550
08579529
Stop Event
iter-limit
node-limit
iter-limit
Counts
42 → 1 534
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
x
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(-.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))))) (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))))))
(neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal -2 binary64)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (cosh.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64) (*.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sinh.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))) #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 (+.f64 (sinh.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 1/2 binary64) (*.f64 (+.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (cosh.f64 (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sinh.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 (fma.f64 x eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
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(/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 x eps x) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 (fma.f64 x eps x) (fma.f64 x eps x) (*.f64 #s(literal 0 binary64) (fma.f64 x eps x)))))
(neg.f64 (-.f64 (fma.f64 x eps x) #s(literal 0 binary64)))
(neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 x (neg.f64 eps) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x eps)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 x eps) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (*.f64 x (neg.f64 eps)))
(fma.f64 (*.f64 x eps) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 (neg.f64 eps) x (neg.f64 x))
(fma.f64 (neg.f64 x) eps (neg.f64 x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x eps)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (*.f64 x eps) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x (neg.f64 eps)))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (*.f64 x eps)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 x eps) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 x (neg.f64 eps)))
(fma.f64 #s(literal -1 binary64) (*.f64 x eps) (neg.f64 x))
(fma.f64 eps (neg.f64 x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x eps)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (*.f64 x eps) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x (neg.f64 eps)))
(-.f64 (*.f64 x (neg.f64 eps)) x)
(-.f64 #s(literal 0 binary64) (fma.f64 x eps x))
(-.f64 (neg.f64 x) (*.f64 x eps))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x eps)) (neg.f64 x))
(+.f64 (*.f64 (*.f64 x eps) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (*.f64 x (neg.f64 eps)) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(+.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x eps)))
(+.f64 (neg.f64 x) (*.f64 (*.f64 x eps) #s(literal -1 binary64)))
(+.f64 (neg.f64 x) (*.f64 x (neg.f64 eps)))

eval265.0ms (4%)

Memory
-8.0MiB live, 422.5MiB allocated; 70ms collecting garbage
Compiler

Compiled 20 629 to 7 145 computations (65.4% saved)

prune56.0ms (0.8%)

Memory
-13.2MiB live, 130.7MiB allocated; 37ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 44591 454
Fresh426
Picked505
Done011
Total1 454121 466
Accuracy
100.0%
Counts
1 466 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
65.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
60.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
99.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
85.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x)))) #s(literal 1/2 binary64)))
59.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
54.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))))
55.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
70.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
47.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
40.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
41.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Compiler

Compiled 804 to 747 computations (7.1% saved)

series120.0ms (1.8%)

Memory
22.7MiB live, 203.6MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08245824
Stop Event
iter-limit
Counts
43 → 164
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x eps x)
x
eps
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(-.f64 eps #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x x)
(+.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))
(-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))
#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))))))
#s(approx (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))))
#s(approx (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))))))))))
#s(approx (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) #s(literal 2 binary64))
#s(approx (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))))
#s(approx (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))))))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))))
#s(approx (pow (/ 1 (E)) (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 #s(literal 1 binary64) eps)))))
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#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 x (exp.f64 (neg.f64 x)))))))
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 (+.f64 x (*.f64 eps x)) #s(literal 1 binary64)))
#s(approx (+ 1 eps) (+.f64 #s(literal 1 binary64) eps))
#s(approx (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (neg.f64 x))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))
#s(approx (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (neg.f64 x)))))))))
#s(approx (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (neg.f64 x))))))))
#s(approx (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 x (exp.f64 (neg.f64 x)))))))))
#s(approx (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))))))) (*.f64 x (exp.f64 (neg.f64 x)))))))))
#s(approx (exp (* x (- -1 eps))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (exp (* x (- -1 eps))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))))
#s(approx (exp (* x (- -1 eps))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))))
#s(approx (* x (- -1 eps)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (*.f64 eps x))))
#s(approx (- -1 eps) (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
#s(approx (+ (* x (- eps 1)) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 eps x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) eps))))
#s(approx (+ (* x eps) x) (*.f64 eps x))
#s(approx (+ (* x eps) x) (*.f64 eps (+.f64 x (/.f64 x eps))))
#s(approx (* (- eps 1) x) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))
#s(approx (- eps 1) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 eps (-.f64 (+.f64 x (/.f64 x eps)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ 1 eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* x (- -1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (* x (- -1 eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))
#s(approx (- -1 eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- -1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (+ (* x (- eps 1)) 1) (*.f64 eps (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 x (*.f64 eps x)))))))
#s(approx (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (+.f64 x (*.f64 eps x))))))
#s(approx (+ (* x eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (exp (* (- eps 1) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (- eps 1) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))))
#s(approx (- eps 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))
#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) eps))))))
#s(approx (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))))
#s(approx (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))
#s(approx (exp (* x (- -1 eps))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))
#s(approx (* x (- -1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (/.f64 x eps)))))
#s(approx (+ (* x (- eps 1)) 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) eps))))))
Calls

6 calls:

TimeVariablePointExpression
25.0ms
eps
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (pow (/ 1 (E)) (+ (* x eps) x)) (/ 1 (E)) 1 (E) (+ (* x eps) x) x eps (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/ (- (* 1 1) (* x x)) (+ 1 x)) (- (* 1 1) (* x x)) (* 1 1) (* x x) (+ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (exp (neg x)) (neg x) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (exp (* x (- -1 eps))) (* x (- -1 eps)) (- -1 eps) -1 (exp (neg (* x (- 1 eps)))) (+ (* x (- eps 1)) 1))
13.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (pow (/ 1 (E)) (+ (* x eps) x)) (/ 1 (E)) 1 (E) (+ (* x eps) x) x eps (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/ (- (* 1 1) (* x x)) (+ 1 x)) (- (* 1 1) (* x x)) (* 1 1) (* x x) (+ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (exp (neg x)) (neg x) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (exp (* x (- -1 eps))) (* x (- -1 eps)) (- -1 eps) -1 (exp (neg (* x (- 1 eps)))) (+ (* x (- eps 1)) 1))
8.0ms
eps
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (pow (/ 1 (E)) (+ (* x eps) x)) (/ 1 (E)) 1 (E) (+ (* x eps) x) x eps (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/ (- (* 1 1) (* x x)) (+ 1 x)) (- (* 1 1) (* x x)) (* 1 1) (* x x) (+ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (exp (neg x)) (neg x) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (exp (* x (- -1 eps))) (* x (- -1 eps)) (- -1 eps) -1 (exp (neg (* x (- 1 eps)))) (+ (* x (- eps 1)) 1))
6.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (pow (/ 1 (E)) (+ (* x eps) x)) (/ 1 (E)) 1 (E) (+ (* x eps) x) x eps (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/ (- (* 1 1) (* x x)) (+ 1 x)) (- (* 1 1) (* x x)) (* 1 1) (* x x) (+ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (exp (neg x)) (neg x) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (exp (* x (- -1 eps))) (* x (- -1 eps)) (- -1 eps) -1 (exp (neg (* x (- 1 eps)))) (+ (* x (- eps 1)) 1))
6.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (+ (pow (/ 1 (E)) (+ (* x eps) x)) (exp (* (- eps 1) x))) (pow (/ 1 (E)) (+ (* x eps) x)) (/ 1 (E)) 1 (E) (+ (* x eps) x) x eps (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/ (- (* 1 1) (* x x)) (+ 1 x)) (- (* 1 1) (* x x)) (* 1 1) (* x x) (+ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (exp (neg x)) (neg x) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) 1/2) (+ (exp (* x (- -1 eps))) (exp (neg (* x (- 1 eps))))) (exp (* x (- -1 eps))) (* x (- -1 eps)) (- -1 eps) -1 (exp (neg (* x (- 1 eps)))) (+ (* x (- eps 1)) 1))

rewrite345.0ms (5.2%)

Memory
18.3MiB live, 349.6MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068602
0100576
1545544
22009544
08104521
Stop Event
iter-limit
node-limit
iter-limit
Counts
43 → 1 293
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x eps x)
x
eps
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(-.f64 eps #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x x)
(+.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))
(-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))
#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))))) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x))))))
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x
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(/.f64 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (neg.f64 eps) (neg.f64 eps) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (neg.f64 eps) (neg.f64 eps) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 eps))))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 #s(literal -1 binary64) (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 eps eps)) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (fma.f64 eps eps (*.f64 #s(literal -1 binary64) eps))))
(neg.f64 (-.f64 eps #s(literal -1 binary64)))
(-.f64 (neg.f64 eps) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 eps)))
(-.f64 #s(literal -1 binary64) eps)
(+.f64 (neg.f64 eps) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 eps))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps))
(+.f64 #s(literal -1 binary64) (neg.f64 eps))
#s(literal -1 binary64)
#s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64))) (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64))) (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64)))
(neg.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x) #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 eps #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 eps #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 eps #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))

eval266.0ms (4%)

Memory
-41.3MiB live, 412.6MiB allocated; 119ms collecting garbage
Compiler

Compiled 19 090 to 7 299 computations (61.8% saved)

prune89.0ms (1.3%)

Memory
11.9MiB live, 115.9MiB allocated; 8ms collecting garbage
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 31661 322
Fresh066
Picked325
Done011
Total1 319151 334
Accuracy
100.0%
Counts
1 334 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
55.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))))))
65.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
60.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
55.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
59.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) #s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
85.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x)))) #s(literal 1/2 binary64)))
59.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
54.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))))
54.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
70.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
47.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
47.7%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
40.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
41.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Compiler

Compiled 1 000 to 734 computations (26.6% saved)

regimes45.0ms (0.7%)

Memory
1.0MiB live, 46.3MiB allocated; 2ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) #s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))))
(/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
Calls

4 calls:

23.0ms
eps
8.0ms
x
6.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.1%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
99.1%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.1%1x
99.1%1eps
Compiler

Compiled 50 to 40 computations (20% saved)

regimes28.0ms (0.4%)

Memory
1.2MiB live, 46.9MiB allocated; 1ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x)))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x)))) #s(literal 1/2 binary64)))
Calls

4 calls:

13.0ms
x
6.0ms
eps
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
4.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.1%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
99.1%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
87.7%2x
99.1%2eps
Compiler

Compiled 50 to 40 computations (20% saved)

regimes23.0ms (0.3%)

Memory
12.2MiB live, 55.5MiB allocated; 5ms collecting garbage
Counts
20 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (neg (* x (- 1 eps)))) (fma.f64 x (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
Calls

4 calls:

7.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
5.0ms
eps
5.0ms
x
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
87.1%4x
79.8%2eps
79.8%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
79.8%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 50 to 40 computations (20% saved)

regimes22.0ms (0.3%)

Memory
-16.2MiB live, 29.3MiB allocated; 13ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
Calls

3 calls:

14.0ms
x
3.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
79.8%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
79.8%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
79.1%3x
Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes21.0ms (0.3%)

Memory
-4.6MiB live, 39.3MiB allocated; 7ms collecting garbage
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
Calls

4 calls:

10.0ms
eps
4.0ms
x
3.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
79.1%3x
76.9%3eps
75.2%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
75.2%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 50 to 40 computations (20% saved)

regimes10.0ms (0.2%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
Calls

4 calls:

3.0ms
eps
3.0ms
x
2.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
70.1%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
70.1%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
70.1%1eps
70.1%1x
Compiler

Compiled 50 to 40 computations (20% saved)

regimes15.0ms (0.2%)

Memory
-24.5MiB live, 18.7MiB allocated; 8ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
Calls

4 calls:

10.0ms
eps
2.0ms
x
1.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
47.8%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
47.8%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
47.8%1eps
47.8%1x
Compiler

Compiled 50 to 40 computations (20% saved)

regimes6.0ms (0.1%)

Memory
18.2MiB live, 18.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.7b remaining (-1.9%)

Threshold costs -0.7b (-1.9%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Calls

4 calls:

1.0ms
eps
1.0ms
x
1.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
41.3%1x
41.3%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
41.3%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
41.3%1eps
Compiler

Compiled 50 to 40 computations (20% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch57.0ms (0.9%)

Memory
-25.2MiB live, 89.2MiB allocated; 24ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
27.0ms
2.1061962042654838e+162
5.1654616789529584e+163
15.0ms
2.381977686220219e-242
8.861468356818345e-242
10.0ms
-325668535066612200.0
-1176357.8798514844
Samples
16.0ms198×0valid
7.0ms26×1valid
2.0ms25×0exit
Compiler

Compiled 1 031 to 1 004 computations (2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-exp: 6.0ms (30.7% of total)
ival-mult!: 4.0ms (20.5% of total)
ival-div!: 3.0ms (15.4% of total)
ival-sub!: 2.0ms (10.2% of total)
ival-neg: 2.0ms (10.2% of total)
adjust: 1.0ms (5.1% of total)
ival-add!: 1.0ms (5.1% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch2.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.1061962042654838e+162
5.1654616789529584e+163
1.0ms
2.381977686220219e-242
8.861468356818345e-242
Compiler

Compiled 884 to 864 computations (2.3% saved)

derivations217.0ms (3.3%)

Memory
-12.0MiB live, 218.7MiB allocated; 27ms collecting garbage
Stop Event
fuel
Compiler

Compiled 185 to 115 computations (37.8% saved)

preprocess78.0ms (1.2%)

Memory
4.0MiB live, 241.8MiB allocated; 23ms collecting garbage
Remove

(abs eps)

Compiler

Compiled 1 048 to 882 computations (15.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...