NMSE Section 6.1 mentioned, A

Time bar (total: 7.3s)

start0.0ms (0%)

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

analyze25.0ms (0.3%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms 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)

sample3.9s (53.8%)

Memory
66.0MiB live, 2 615.1MiB allocated; 1.6s collecting garbage
Samples
1.5s2 286×1valid
1.2s5 970×0valid
197.0ms948×0exit
10.0ms16×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-neg: 790.0ms (31.5% of total)
ival-mult!: 670.0ms (26.7% of total)
ival-exp: 471.0ms (18.8% of total)
ival-div!: 241.0ms (9.6% of total)
adjust: 147.0ms (5.9% of total)
ival-sub!: 113.0ms (4.5% of total)
ival-add!: 75.0ms (3% of total)
Bogosity

preprocess60.0ms (0.8%)

Memory
-9.6MiB live, 35.8MiB allocated; 8ms 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
73.9%
(/.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)

series118.0ms (1.6%)

Memory
30.2MiB live, 94.8MiB allocated; 71ms 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
64.0ms
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)
7.0ms
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)
5.0ms
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)
4.0ms
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)
4.0ms
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)

rewrite186.0ms (2.5%)

Memory
-11.0MiB live, 124.4MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019141
034141
1166133
01539131
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
19 → 338
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 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) 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) #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.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 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))) (*.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 1/2 binary64)))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (pow.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)) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.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 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))))
(/.f64 (*.f64 (-.f64 (pow.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 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) (fma.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 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))) (pow.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 (*.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 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (-.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 1/2 binary64)) (*.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 1/2 binary64))) (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 1/2 binary64)))) (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 1/2 binary64) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.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 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.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 1/2 binary64)) (*.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 1/2 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 1/2 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))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 1/2 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 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (pow.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)) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.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 #s(literal 1 binary64) eps) eps) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))) #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))) (*.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (-.f64 (*.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)) (sinh.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))) (*.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (sinh.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (fma.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (*.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))
(neg.f64 (-.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))))
(sqrt.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))))
(-.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (neg.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))))
(-.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))
(fabs.f64 (-.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))))
(fabs.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))
(exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))
(+.f64 (sinh.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)) (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))
(+.f64 (cosh.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) (sinh.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))
(*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (-.f64 eps #s(literal -1 binary64)))
(*.f64 (-.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (-.f64 eps #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (-.f64 (neg.f64 eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x))
(*.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 eps #s(literal -1 binary64)) x)
(*.f64 x (-.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) x) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x) (-.f64 #s(literal 1 binary64) eps))
(fma.f64 x eps (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x eps))
(fma.f64 eps x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 eps x))
(+.f64 (*.f64 x eps) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x eps))
(+.f64 (*.f64 eps x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 eps x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 eps #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) eps))) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)
(*.f64 #s(literal 1 binary64) (-.f64 eps #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 #s(literal 1 binary64) (neg.f64 eps)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps)))
(-.f64 eps #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 eps))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 eps)))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)

eval123.0ms (1.7%)

Memory
-1.5MiB live, 140.9MiB allocated; 25ms collecting garbage
Compiler

Compiled 6 765 to 2 364 computations (65.1% saved)

prune24.0ms (0.3%)

Memory
-10.7MiB live, 36.5MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4248432
Fresh000
Picked101
Done000
Total4258433
Accuracy
100.0%
Counts
433 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(/.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)) #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(literal 2 binary64))
33.5%
(/.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))
43.0%
(/.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))
73.9%
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)))) #s(literal 1/2 binary64))
44.1%
#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)))))))))
57.2%
#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 (+.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))))))))
44.1%
#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 468 to 418 computations (10.7% saved)

series117.0ms (1.6%)

Memory
9.4MiB live, 105.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07786073
Stop Event
iter-limit
Counts
44 → 170
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 (*.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)) #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(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)) #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)))))))
(*.f64 (-.f64 (/.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 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.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))))))))
(*.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 (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 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(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 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 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))
#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)))))))))
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Calls

6 calls:

TimeVariablePointExpression
30.0ms
eps
@0
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12.0ms
x
@inf
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9.0ms
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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ 1 (* -1 (* x (+ 1 eps)))) (* -1 (* 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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (+ (exp (neg x)) (* x (exp (neg x)))) (exp (neg x)) (neg x) (* x (exp (neg x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))) (* -1 (* x (exp (neg x)))))
6.0ms
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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ 1 (* -1 (* x (+ 1 eps)))) (* -1 (* 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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (+ (exp (neg x)) (* x (exp (neg x)))) (exp (neg x)) (neg x) (* x (exp (neg x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))) (* -1 (* x (exp (neg x)))))
5.0ms
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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ 1 (* -1 (* x (+ 1 eps)))) (* -1 (* 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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (+ (exp (neg x)) (* x (exp (neg x)))) (exp (neg x)) (neg x) (* x (exp (neg x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))) (* -1 (* x (exp (neg x)))))

rewrite254.0ms (3.5%)

Memory
36.1MiB live, 300.6MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059574
094543
1443497
04596469
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
44 → 999
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 (*.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)) #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(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)) #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)))))))
(*.f64 (-.f64 (/.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 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.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))))))))
(*.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 (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 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
(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 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
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(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))))
(fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
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#s(literal 1/2 binary64)
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(-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
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(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
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(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (exp.f64 x)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (exp.f64 x)))
(fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 (neg.f64 x)) x))
(fma.f64 x (cosh.f64 x) (*.f64 x (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 x (cosh.f64 x)) (*.f64 x (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) x) (*.f64 (sinh.f64 (neg.f64 x)) x))
(*.f64 (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 (neg.f64 x))) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 (neg.f64 x) (exp.f64 x)))) (/.f64 (neg.f64 x) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))))
(*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) #s(literal 3 binary64)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (pow.f64 (/.f64 x (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 x))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))))))
(neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) x (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64) (/.f64 (neg.f64 x) (exp.f64 x)))
(fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))
(fma.f64 x (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))) (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))))
(-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (+.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x) x) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 (exp.f64 (neg.f64 x))) x)
(*.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 x)))
(*.f64 x (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 x) (exp.f64 x))
(neg.f64 (/.f64 x (exp.f64 x)))
(fma.f64 (cosh.f64 x) (neg.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (neg.f64 x) (cosh.f64 x) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 x)) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (neg.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 x)))

eval267.0ms (3.6%)

Memory
-55.8MiB live, 337.8MiB allocated; 192ms collecting garbage
Compiler

Compiled 21 243 to 6 320 computations (70.2% saved)

prune89.0ms (1.2%)

Memory
-31.5MiB live, 68.9MiB allocated; 17ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1 268151 283
Fresh303
Picked415
Done000
Total1 275161 291
Accuracy
100.0%
Counts
1 291 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(/.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))
25.0%
(/.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)) #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(literal 2 binary64))
31.3%
(/.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))
57.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))) #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 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
99.2%
#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 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
63.2%
#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 (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))))))
59.0%
#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)))))
65.7%
#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))))))))
15.7%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))))))
73.1%
#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)))))))
43.2%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))))
50.4%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))))
43.3%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
43.7%
#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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
44.1%
#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 1 168 to 1 051 computations (10% saved)

series64.0ms (0.9%)

Memory
15.8MiB live, 61.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07545260
Stop Event
iter-limit
Counts
42 → 155
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 (fma.f64 x eps x))))))
(*.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 (fma.f64 x eps x)))))
#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 (fma.f64 x eps x))))
(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 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps 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 (* 1/2 (- (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)))
#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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 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 (+ (* x eps) x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x))))) (+.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))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #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 (+ (* x eps) x))))) (+.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))) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.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 #s(literal 1 binary64) eps) #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))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #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 (+ (* x eps) x)))) #s(literal 2 binary64))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.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))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #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 (+ (* x eps) x)))) (+.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))) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.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 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #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)))) (+.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 (+ (* x eps) x))) #s(literal -1 binary64))
#s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
#s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
#s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (fma.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 3 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
#s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
#s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 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 (+ (* x eps) x) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
#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 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 (* -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 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* x (+ 1/3 (* -1/8 x))) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* x (+ 1/3 (* -1/8 x))) 1/2) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- (* x (+ 1/3 (* -1/8 x))) 1/2) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (* x (+ 1/3 (* -1/8 x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (* x (+ 1/3 (* -1/8 x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))))
#s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 binary64))
#s(approx (+ 1/3 (* -1/8 x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x)))
#s(approx (* -1/8 x) (*.f64 #s(literal -1/8 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 (*.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 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))))
#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (-.f64 (*.f64 eps x) x)))
#s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
#s(approx (exp (+ (* x eps) x)) (exp.f64 (+.f64 x (*.f64 eps x))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x))))))))
#s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x))))))
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))))
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#s(approx (exp (+ (* x eps) x)) (exp.f64 x))
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#s(approx (exp (+ (* x eps) x)) (+.f64 (exp.f64 x) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (*.f64 x (exp.f64 x))))))
#s(approx (exp (+ (* x eps) x)) (+.f64 (exp.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 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))) (*.f64 x (exp.f64 x))))))
#s(approx (+ (* x eps) x) (+.f64 x (*.f64 eps x)))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.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 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.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 (*.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 (neg.f64 x))))))))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.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 (neg.f64 x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.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 1/2 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))))))))))))
#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 (- (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 (*.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 (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 (*.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 (* -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 (+ 1 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) (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 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x))))) (*.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 (+.f64 x (*.f64 eps x)))))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))))
#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 (+ (* x eps) x) (*.f64 eps (+.f64 x (/.f64 x 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 (/ (- (* (+ 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 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x))))) (*.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 (+.f64 x (*.f64 eps x)))))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.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 (+.f64 x (*.f64 eps x))))))
#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 (+ (* 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 (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 (* -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))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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)) (* -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)))))) (* -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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (pow x 2) 2 (- (* x (+ 1/3 (* -1/8 x))) 1/2) (* x (+ 1/3 (* -1/8 x))) (+ 1/3 (* -1/8 x)) 1/3 (* -1/8 x) -1/8)
6.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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)) (* -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)))))) (* -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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (pow x 2) 2 (- (* x (+ 1/3 (* -1/8 x))) 1/2) (* x (+ 1/3 (* -1/8 x))) (+ 1/3 (* -1/8 x)) 1/3 (* -1/8 x) -1/8)
6.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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)) (* -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)))))) (* -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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (pow x 2) 2 (- (* x (+ 1/3 (* -1/8 x))) 1/2) (* x (+ 1/3 (* -1/8 x))) (+ 1/3 (* -1/8 x)) 1/3 (* -1/8 x) -1/8)
4.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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)) (* -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)))))) (* -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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (pow x 2) 2 (- (* x (+ 1/3 (* -1/8 x))) 1/2) (* x (+ 1/3 (* -1/8 x))) (+ 1/3 (* -1/8 x)) 1/3 (* -1/8 x) -1/8)
4.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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)) (* -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)))))) (* -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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (pow x 2) 2 (- (* x (+ 1/3 (* -1/8 x))) 1/2) (* x (+ 1/3 (* -1/8 x))) (+ 1/3 (* -1/8 x)) 1/3 (* -1/8 x) -1/8)

rewrite220.0ms (3%)

Memory
-11.1MiB live, 171.9MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075622
0103595
1581536
06461516
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
42 → 698
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 (fma.f64 x eps x))))))
(*.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 (fma.f64 x eps x)))))
#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 (fma.f64 x eps x))))
(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 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps 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 (* 1/2 (- (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)))
#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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 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 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x)))))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
(/.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))) #s(literal -1 binary64))) (exp.f64 (fma.f64 x eps x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (exp.f64 (fma.f64 x eps x)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))))
(fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (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 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
(*.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))))) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(/.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (fma.f64 x eps x))) #s(literal -1 binary64)) (exp.f64 (*.f64 x eps))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (fma.f64 x eps x)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal -1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (exp.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x)))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (neg.f64 (exp.f64 (fma.f64 x eps x)))))
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(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
#s(literal -1/8 binary64)

eval190.0ms (2.6%)

Memory
26.4MiB live, 215.1MiB allocated; 93ms collecting garbage
Compiler

Compiled 14 676 to 5 229 computations (64.4% saved)

prune86.0ms (1.2%)

Memory
-19.6MiB live, 124.2MiB allocated; 24ms collecting garbage
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1 018151 033
Fresh7310
Picked505
Done011
Total1 030191 049
Accuracy
100.0%
Counts
1 049 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(/.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))
57.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64)))
59.4%
#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) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
85.8%
#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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
63.1%
#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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
59.2%
#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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
65.7%
#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 (fma.f64 x eps x))))))
46.7%
#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))))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
58.8%
#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))))))
60.0%
#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))))) #s(literal -1 binary64)))))
15.7%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))))))
73.1%
#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 (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))
43.2%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
50.4%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))))
50.6%
#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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))))
43.7%
#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 #s(literal 1 binary64) x)))
43.7%
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))))))
50.6%
#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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
44.1%
#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 1 458 to 1 329 computations (8.8% saved)

series111.0ms (1.5%)

Memory
37.9MiB live, 83.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07034589
Stop Event
iter-limit
Counts
36 → 131
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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x)))
#s(approx (neg (* x (- 1 eps))) (*.f64 eps x))
(*.f64 eps x)
eps
x
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps 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) 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(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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(-.f64 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))
(-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))
#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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 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))
#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 (+ (* x eps) x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x))))) (+.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))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #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 (+ (* x eps) x))))) (+.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))) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.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 #s(literal 1 binary64) eps) #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))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #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 (+ (* x eps) x)))) #s(literal 2 binary64))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.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))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #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 (+ (* x eps) x)))) (+.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))) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.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 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #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)))) (+.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 (* eps x) (*.f64 eps x))
#s(approx x x)
#s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))
#s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
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#s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
#s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 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 (+ (* x eps) x) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
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#s(approx (- 1 (* x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))))
#s(approx (- x -1) (+.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 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)))))
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#s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
#s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
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#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
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#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (-.f64 (*.f64 eps x) x)))
#s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
#s(approx (exp (+ (* x eps) x)) (exp.f64 (+.f64 x (*.f64 eps x))))
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#s(approx (/ 1 (- x -1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- x -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 1 (- x -1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 1 (- x -1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))))
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x))))))
#s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ 1 (exp x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
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#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
#s(approx (neg (* x (- 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
#s(approx (/ -1 (exp (+ (* x eps) x))) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (exp (+ (* x eps) x)) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* x eps) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.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 1/2 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 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
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#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
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#s(approx eps eps)
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Calls

6 calls:

TimeVariablePointExpression
57.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* eps x) eps x (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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 x) 1 (/ (- (* (+ 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 x)) (/ 1 (- x -1))) (- 1 (* x x)) (* x x) (/ 1 (- x -1)) (- x -1) (/ (- (* (+ 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))))) (/ (- (* (+ 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 (+ (* x eps) x))))) (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+ (exp (neg x)) (/ 1 (exp x))) (exp (neg x)) (neg x) (/ 1 (exp x)) (exp x))
10.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* eps x) eps x (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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 x) 1 (/ (- (* (+ 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 x)) (/ 1 (- x -1))) (- 1 (* x x)) (* x x) (/ 1 (- x -1)) (- x -1) (/ (- (* (+ 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))))) (/ (- (* (+ 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 (+ (* x eps) x))))) (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+ (exp (neg x)) (/ 1 (exp x))) (exp (neg x)) (neg x) (/ 1 (exp x)) (exp x))
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* eps x) eps x (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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 x) 1 (/ (- (* (+ 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 x)) (/ 1 (- x -1))) (- 1 (* x x)) (* x x) (/ 1 (- x -1)) (- x -1) (/ (- (* (+ 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))))) (/ (- (* (+ 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 (+ (* x eps) x))))) (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+ (exp (neg x)) (/ 1 (exp x))) (exp (neg x)) (neg x) (/ 1 (exp x)) (exp x))
5.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* eps x) eps x (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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 x) 1 (/ (- (* (+ 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 x)) (/ 1 (- x -1))) (- 1 (* x x)) (* x x) (/ 1 (- x -1)) (- x -1) (/ (- (* (+ 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))))) (/ (- (* (+ 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 (+ (* x eps) x))))) (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+ (exp (neg x)) (/ 1 (exp x))) (exp (neg x)) (neg x) (/ 1 (exp x)) (exp x))
4.0ms
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 (+ (* x eps) x))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* eps x) eps x (/ -1 (exp (+ (* x eps) x))) -1 (exp (+ (* x eps) x)) (+ (* x eps) 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 x) 1 (/ (- (* (+ 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 x)) (/ 1 (- x -1))) (- 1 (* x x)) (* x x) (/ 1 (- x -1)) (- x -1) (/ (- (* (+ 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))))) (/ (- (* (+ 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 (+ (* x eps) x))))) (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+ (exp (neg x)) (/ 1 (exp x))) (exp (neg x)) (neg x) (/ 1 (exp x)) (exp x))

rewrite66.0ms (0.9%)

Memory
6.0MiB live, 52.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066573
087554
0460554
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
36 → 116
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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x)))
#s(approx (neg (* x (- 1 eps))) (*.f64 eps x))
(*.f64 eps x)
eps
x
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps 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) 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(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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(-.f64 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))
(-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))
#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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))))) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps)))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (+.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (fma.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (*.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps)))))
(-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(fabs.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))))
(exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps)))
(+.f64 (cosh.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (sinh.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))))
#s(approx (neg (* x (- 1 eps))) (*.f64 x eps))
(*.f64 x eps)
(*.f64 eps x)
eps
x
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x))))
#s(literal -1 binary64)
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(+.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x eps))) (*.f64 x eps))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x eps) (*.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x))))
(fma.f64 x eps x)
(fma.f64 eps x x)
(-.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (*.f64 x eps) x)
(+.f64 x (*.f64 x eps))
#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 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))))
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 x #s(literal -1 binary64))
(+.f64 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 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))))) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps)))) (*.f64 #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))) (+.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(literal 3 binary64)) (pow.f64 #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (fma.f64 #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)) (*.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))))
(neg.f64 (-.f64 #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)) (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps)))))
(-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))
(+.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (neg.f64 #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))
#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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
#s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))
(neg.f64 x)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval80.0ms (1.1%)

Memory
-28.4MiB live, 63.7MiB allocated; 20ms collecting garbage
Compiler

Compiled 4 243 to 1 509 computations (64.4% saved)

prune55.0ms (0.8%)

Memory
27.8MiB live, 71.4MiB allocated; 9ms collecting garbage
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New22511236
Fresh4913
Picked415
Done011
Total23322255
Accuracy
100.0%
Counts
255 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(/.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))
57.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64)))
85.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
59.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
73.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
59.1%
#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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
63.1%
#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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
65.7%
#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 (fma.f64 x eps x))))))
46.7%
#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))))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
58.8%
#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))))))
60.0%
#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))))) #s(literal -1 binary64)))))
15.7%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))))))
56.3%
#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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))
43.2%
#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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
43.7%
#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 #s(literal 1 binary64) x)))
43.7%
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))))))
50.5%
#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 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))
9.6%
#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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.f64 #s(literal 1 binary64) x)))))
50.3%
#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 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))))))))
42.8%
#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 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))))
12.6%
#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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x))))))
44.1%
#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 1 617 to 1 135 computations (29.8% saved)

regimes95.0ms (1.3%)

Memory
-21.9MiB live, 125.2MiB allocated; 27ms collecting garbage
Counts
50 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 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 (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 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #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 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps 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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) 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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 (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 (fma.f64 x eps x))))))
(/.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)) #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(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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) 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 #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 #s(literal 1/2 binary64) #s(approx (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (*.f64 x (-.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 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 #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)))))))))
(/.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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))) #s(literal 1/2 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 #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 (fma.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) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
(/.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)) #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(literal 2 binary64))
(*.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 (*.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)))) (*.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 #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))))))))
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 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
Calls

4 calls:

28.0ms
x
25.0ms
eps
20.0ms
(-.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)))))
10.0ms
(/.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
99.2%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)))))
99.2%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))
99.2%1x
99.2%1eps
Compiler

Compiled 50 to 40 computations (20% saved)

regimes104.0ms (1.4%)

Memory
33.8MiB live, 123.2MiB allocated; 13ms collecting garbage
Counts
44 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 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 (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 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #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 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps 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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) 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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 (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 (fma.f64 x eps x))))))
(/.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)) #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(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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) 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 #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 #s(literal 1/2 binary64) #s(approx (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (*.f64 x (-.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 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 #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)))))))))
(/.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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))) #s(literal 1/2 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))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
Calls

4 calls:

43.0ms
eps
21.0ms
x
19.0ms
(/.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))
15.0ms
(-.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)

regimes134.0ms (1.8%)

Memory
-32.8MiB live, 79.3MiB allocated; 31ms collecting garbage
Counts
39 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 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 (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 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #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 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps 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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) 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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 (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 (fma.f64 x eps x))))))
(/.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)) #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(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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) 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 #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 #s(literal 1/2 binary64) #s(approx (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (*.f64 x (-.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 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
Calls

4 calls:

27.0ms
(/.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))
19.0ms
x
18.0ms
eps
14.0ms
(-.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
99.2%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)))))
99.2%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))
92.7%3x
99.2%2eps
Compiler

Compiled 50 to 40 computations (20% saved)

regimes56.0ms (0.8%)

Memory
-10.2MiB live, 76.0MiB allocated; 13ms collecting garbage
Counts
37 → 5
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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 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 (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 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #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 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps 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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) 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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 (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 (fma.f64 x eps x))))))
(/.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)) #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(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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) 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 #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 #s(literal 1/2 binary64) #s(approx (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (*.f64 x (-.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 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 #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))))) #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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
Calls

4 calls:

14.0ms
(/.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))
14.0ms
x
13.0ms
(-.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)))))
10.0ms
eps
Results
AccuracySegmentsBranch
91.8%5x
79.0%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)))))
79.0%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))
84.0%3eps
Compiler

Compiled 50 to 40 computations (20% saved)

regimes12.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Counts
36 → 5
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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 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 (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 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #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 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps 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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) 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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 (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 (fma.f64 x eps x))))))
(/.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)) #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(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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) 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 #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 #s(literal 1/2 binary64) #s(approx (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))))))
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 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #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 #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 (fma.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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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 #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)))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
91.8%5x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (0.3%)

Memory
-13.2MiB live, 33.4MiB allocated; 2ms collecting garbage
Counts
31 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 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 (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 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #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 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps 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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) 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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (exp.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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.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 (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)))))))
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 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps 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(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 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 #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)))))
Calls

2 calls:

10.0ms
eps
9.0ms
x
Results
AccuracySegmentsBranch
79.3%2eps
82.8%4x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
25 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 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 (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 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #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 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps 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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) 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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(approx (+ 1/3 (* -1/8 x)) #s(literal 1/3 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) (*.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))))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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 #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) (*.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)))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
82.5%4x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes29.0ms (0.4%)

Memory
-18.6MiB live, 41.4MiB allocated; 8ms collecting garbage
Counts
21 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 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 (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 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #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))
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 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #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 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #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 1/2 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)))))
Calls

4 calls:

10.0ms
(/.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))
7.0ms
x
6.0ms
eps
5.0ms
(-.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
60.0%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)))))
60.0%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))
62.6%2eps
82.1%4x
Compiler

Compiled 50 to 40 computations (20% saved)

regimes8.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
17 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 eps x))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #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 #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))))) #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 #s(approx (neg (* x (- 1 eps))) (*.f64 x eps))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #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 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
82.1%4x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
13 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.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))
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 #s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)))))
(/.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) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
75.5%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
-33.0MiB live, 10.8MiB allocated; 10ms collecting garbage
Counts
12 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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 #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))))) #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #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)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x 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) (*.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))))) #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 (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
65.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Counts
9 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (- x -1)) (/.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 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) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg (* x (- 1 eps)))) (/ -1 (exp (+ (* x eps) x)))) #s(approx (+ (exp (neg x)) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))))
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
56.3%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)))))
56.3%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))
56.3%1eps
56.3%1x
Compiler

Compiled 50 to 40 computations (20% saved)

regimes7.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.5b remaining (-1.4%)

Threshold costs -0.5b (-1.4%)

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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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:

2.0ms
eps
2.0ms
x
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)))))
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))
Results
AccuracySegmentsBranch
44.1%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)))))
44.1%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))
44.1%1eps
44.1%1x
Compiler

Compiled 50 to 40 computations (20% saved)

bsearch26.0ms (0.4%)

Memory
-12.1MiB live, 34.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
4.780740040518725e-7
0.02928200997212334
Samples
11.0ms128×0valid
2.0ms21×0exit
Compiler

Compiled 616 to 576 computations (6.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult!: 3.0ms (32.2% of total)
ival-exp: 2.0ms (21.5% of total)
ival-div!: 2.0ms (21.5% of total)
ival-sub!: 1.0ms (10.7% of total)
ival-add!: 1.0ms (10.7% of total)
ival-neg: 1.0ms (10.7% of total)
adjust: 0.0ms (0% of total)

bsearch122.0ms (1.7%)

Memory
-18.6MiB live, 124.6MiB allocated; 27ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
narrow-enough
Steps
TimeLeftRight
19.0ms
3.3715211535190375e+235
2.449082130081591e+243
30.0ms
2.0405732875476417e+42
2.6971732886995897e+48
9.0ms
-2.234147409441334e-306
8.943638172550506e-304
47.0ms
-27.523763413254773
-6.74505464448738e-5
Samples
44.0ms387×0valid
38.0ms77×1valid
Compiler

Compiled 2 274 to 2 172 computations (4.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
adjust: 19.0ms (32.1% of total)
ival-exp: 13.0ms (22% of total)
ival-mult!: 9.0ms (15.2% of total)
ival-div!: 6.0ms (10.1% of total)
ival-neg: 5.0ms (8.5% of total)
ival-sub!: 4.0ms (6.8% of total)
ival-add!: 3.0ms (5.1% of total)

bsearch6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
narrow-enough
Steps
TimeLeftRight
2.0ms
3.3715211535190375e+235
2.449082130081591e+243
2.0ms
2.0405732875476417e+42
2.6971732886995897e+48
1.0ms
-2.234147409441334e-306
8.943638172550506e-304
2.0ms
-27.523763413254773
-6.74505464448738e-5
Compiler

Compiled 2 265 to 2 154 computations (4.9% saved)

bsearch90.0ms (1.2%)

Memory
23.1MiB live, 70.1MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
3.3715211535190375e+235
2.449082130081591e+243
17.0ms
2.0405732875476417e+42
2.6971732886995897e+48
62.0ms
-1790210.1658967163
-27.523763413254773
Samples
44.0ms141×0valid
18.0ms51×1valid
2.0ms16×1exit
Compiler

Compiled 2 076 to 1 955 computations (5.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult!: 32.0ms (56.3% of total)
ival-exp: 10.0ms (17.6% of total)
ival-div!: 4.0ms (7% of total)
adjust: 3.0ms (5.3% of total)
ival-neg: 3.0ms (5.3% of total)
ival-add!: 2.0ms (3.5% of total)
ival-sub!: 2.0ms (3.5% of total)

bsearch49.0ms (0.7%)

Memory
-25.7MiB live, 21.2MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
3.3715211535190375e+235
2.449082130081591e+243
39.0ms
1732583482.894477
131109513799.81325
3.0ms
-1790210.1658967163
-27.523763413254773
Samples
17.0ms112×0valid
Compiler

Compiled 1 724 to 1 645 computations (4.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 3.0ms (24.5% of total)
ival-mult!: 3.0ms (24.5% of total)
ival-neg: 2.0ms (16.3% of total)
ival-div!: 2.0ms (16.3% of total)
ival-sub!: 1.0ms (8.2% of total)
ival-add!: 1.0ms (8.2% of total)
adjust: 0.0ms (0% of total)

bsearch26.0ms (0.4%)

Memory
29.1MiB live, 29.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
3.0ms
3.3715211535190375e+235
2.449082130081591e+243
3.0ms
2.0405732875476417e+42
2.6971732886995897e+48
18.0ms
-2.234147409441334e-306
8.943638172550506e-304
Samples
10.0ms21×1valid
4.0ms27×0valid
Compiler

Compiled 1 501 to 1 432 computations (4.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 5.0ms (42.3% of total)
adjust: 2.0ms (16.9% of total)
ival-mult!: 2.0ms (16.9% of total)
ival-sub!: 1.0ms (8.5% of total)
ival-add!: 1.0ms (8.5% of total)
ival-div!: 1.0ms (8.5% of total)
ival-neg: 1.0ms (8.5% of total)

bsearch42.0ms (0.6%)

Memory
-37.7MiB live, 13.6MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
37.0ms
3.3715211535190375e+235
2.449082130081591e+243
2.0ms
2.0405732875476417e+42
2.6971732886995897e+48
1.0ms
-2.234147409441334e-306
8.943638172550506e-304
Samples
33.0ms16×0valid
Compiler

Compiled 1 564 to 1 495 computations (4.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult!: 31.0ms (94.8% of total)
ival-exp: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch78.0ms (1.1%)

Memory
23.3MiB live, 66.6MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
3.3715211535190375e+235
2.449082130081591e+243
70.0ms
2.7682441676197865e-14
1.6325036473662263e-12
Samples
40.0ms65×0valid
21.0ms47×1valid
Compiler

Compiled 1 133 to 1 086 computations (4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-exp: 8.0ms (30.7% of total)
ival-mult!: 5.0ms (19.2% of total)
adjust: 4.0ms (15.4% of total)
ival-neg: 3.0ms (11.5% of total)
ival-div!: 3.0ms (11.5% of total)
ival-sub!: 2.0ms (7.7% of total)
ival-add!: 1.0ms (3.8% of total)

bsearch5.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
1.0790792234378744e+124
1.1617881877819563e+124
Samples
2.0ms16×0valid
Compiler

Compiled 115 to 104 computations (9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations101.0ms (1.4%)

Memory
0.7MiB live, 89.6MiB allocated; 10ms collecting garbage
Stop Event
fuel
Compiler

Compiled 329 to 167 computations (49.2% saved)

preprocess201.0ms (2.7%)

Memory
34.4MiB live, 314.3MiB allocated; 101ms collecting garbage
Remove

(abs eps)

Compiler

Compiled 2 356 to 1 700 computations (27.8% saved)

end0.0ms (0%)

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

Profiling

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