NMSE Section 6.1 mentioned, A

Time bar (total: 10.8s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze58.0ms (0.5%)

Memory
-32.2MiB live, 72.3MiB allocated; 42ms 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)

sample3.7s (34.5%)

Memory
12.9MiB live, 3 162.6MiB allocated; 1.4s collecting garbage
Samples
1.2s5 938×0valid
1.1s2 318×1valid
356.0ms999×0exit
3.0ms18×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-exp: 559.0ms (27.8% of total)
adjust: 416.0ms (20.7% of total)
ival-mult!: 342.0ms (17% of total)
ival-sub!: 283.0ms (14.1% of total)
ival-div!: 210.0ms (10.4% of total)
ival-neg: 121.0ms (6% of total)
ival-add!: 81.0ms (4% of total)
Bogosity

preprocess64.0ms (0.6%)

Memory
-3.5MiB live, 49.8MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063186
1227170
2794164
34938162
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 50 to 38 computations (24% saved)

series23.0ms (0.2%)

Memory
34.2MiB live, 34.2MiB allocated; 0ms collecting garbage
Counts
19 → 123
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(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (- (* eps x) x))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* x (- 1 eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (* x (exp (neg x)))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (- (* eps x) x)))
#s(approx (* (- 1 eps) x) #s(hole binary64 x))
#s(approx (* (- 1 eps) x) #s(hole binary64 (+ x (* -1 (* eps x)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 x))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps)))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps)))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps)))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
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)
4.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
3.0ms
x
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
3.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
2.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)

rewrite897.0ms (8.3%)

Memory
12.1MiB live, 919.6MiB allocated; 264ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05244373
05544180
116543780
273233778
081933447
0319553278
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
142 → 1 129
Calls
Call 1
Inputs
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(-.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)
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps))))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
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#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1))
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#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1)))
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#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)))
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#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
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#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* x (+ 1 eps))))
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#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (* x (exp (neg x)))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (- (* eps x) x)))
#s(approx (* (- 1 eps) x) #s(hole binary64 x))
#s(approx (* (- 1 eps) x) #s(hole binary64 (+ x (* -1 (* eps x)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 x))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps)))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps)))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps)))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
Outputs
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(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))))) #s(literal 4 binary64))
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(/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) #s(literal 4 binary64))
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(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))))
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(fma.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 eps #s(literal 2 binary64))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))))
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#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x))
#s(approx (* (- 1 eps) x) x)
#s(approx (* (- 1 eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
#s(approx (- 1 eps) #s(literal 1 binary64))
#s(approx (- 1 eps) (-.f64 #s(literal 1 binary64) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (*.f64 (fma.f64 (neg.f64 eps) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 eps) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 eps) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (exp.f64 x)) eps))) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 eps) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 eps) (*.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (exp.f64 x))) eps))) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 x)))
#s(approx (exp (neg (* (+ 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 x)))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x)) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (* (+ 1 eps) x))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 x)) (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) eps) eps)))
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
#s(approx (* (+ 1 eps) x) x)
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x))
#s(approx (+ 1 eps) #s(literal 1 binary64))
#s(approx (+ 1 eps) (-.f64 eps #s(literal -1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #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 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #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))))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps))
#s(approx (* (- 1 eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
#s(approx (- 1 eps) (neg.f64 eps))
#s(approx (- 1 eps) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 eps) 1) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 x) eps))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
#s(approx (* (+ 1 eps) x) (*.f64 x eps))
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x))
#s(approx (+ 1 eps) eps)
#s(approx (+ 1 eps) (-.f64 eps #s(literal -1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #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 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #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))))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x))
#s(approx (* (- 1 eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x))

eval417.0ms (3.9%)

Memory
6.3MiB live, 195.2MiB allocated; 30ms collecting garbage
Compiler

Compiled 14 406 to 4 853 computations (66.3% saved)

prune53.0ms (0.5%)

Memory
-34.6MiB live, 41.9MiB allocated; 38ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1 07671 083
Fresh000
Picked101
Done000
Total1 07771 084
Accuracy
100.0%
Counts
1 084 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.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)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
36.5%
(/.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) eps))) #s(literal 2 binary64))
37.6%
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
44.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
78.3%
#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 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
53.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64)))
39.5%
#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 398 to 356 computations (10.6% saved)

series50.0ms (0.5%)

Memory
6.9MiB live, 54.7MiB allocated; 5ms collecting garbage
Counts
41 → 220
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))
#s(literal 2 binary64)
(cosh.f64 (*.f64 x eps))
(*.f64 x eps)
eps
#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(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+.f64 x #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) (fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64))))
(+.f64 (/.f64 x eps) x)
(/.f64 x eps)
(-.f64 eps #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))
(-.f64 (/.f64 x eps) x)
(-.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
#s(approx (* (+ 1 (/ 1 eps)) (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))
(/.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))))
(-.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)
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1)))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1)))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 2))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* 2 (* x (+ 1/2 (* 1/2 (pow eps 2))))) 2)))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* x (+ (* 2 (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))) (* 2 (+ 1/2 (* 1/2 (pow eps 2)))))) 2)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 2))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (pow x 2)))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (pow eps 2))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* x (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))) (pow eps 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 1))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))))))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
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#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
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#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))))
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* 2 (/ x (exp x)))))
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))))
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (/ x (exp x))))
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#s(approx (+ x 1) #s(hole binary64 x))
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#s(approx (exp x) #s(hole binary64 (exp x)))
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#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x))))))
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps))))) (/ 1 x))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps))))))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* x (* (+ 1 eps) (- 1 (/ 1 eps)))))))
#s(approx (- (/ x eps) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 eps))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 eps))))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* 2 (exp (neg x)))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (* (pow x 2) (exp (neg x))))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (pow x 2))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (pow x 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ x (* -1 x)) eps))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (* 1/2 (+ (* -2 x) (* 2 x)))))) eps)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (+ (* 1/2 (* eps (+ x (* -1 x)))) (* 1/2 (+ (* -2 x) (* 2 x))))))) eps)))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (* -1 x)) eps)))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (+ (* -1 x) (* eps (+ (* -2 x) (* 2 x))))) eps)))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (+ (* -1 x) (* eps (+ (* -2 x) (+ (* 2 x) (* eps (+ x (* -1 x)))))))) eps)))
#s(approx (+ (/ x eps) x) #s(hole binary64 (/ x eps)))
#s(approx (+ (/ x eps) x) #s(hole binary64 (/ (+ x (* eps x)) eps)))
#s(approx (- eps 1) #s(hole binary64 -1))
#s(approx (- eps 1) #s(hole binary64 (- eps 1)))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ x eps)))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ (+ x (* eps (+ x (* -1 x)))) eps)))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ (+ x (* eps (+ x (+ (* -1 x) (* -1 (* eps x)))))) eps)))
#s(approx (- (/ x eps) x) #s(hole binary64 (/ x eps)))
#s(approx (- (/ x eps) x) #s(hole binary64 (/ (+ x (* -1 (* eps x))) eps)))
#s(approx (- eps -1) #s(hole binary64 1))
#s(approx (- eps -1) #s(hole binary64 (+ 1 eps)))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)))
#s(approx (- (/ 1 eps) -1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) -1) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 x))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ x (* -1 x)) (pow eps 2))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps)))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (* -1 x)))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (+ (* -2 (/ x eps)) (+ (* -1 x) (* 2 (/ x eps))))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (+ (* -2 (/ x eps)) (+ (* -1 x) (+ (* -1 (/ x (pow eps 2))) (+ (* 2 (/ x eps)) (/ x (pow eps 2))))))))))
#s(approx (+ (/ x eps) x) #s(hole binary64 x))
#s(approx (+ (/ x eps) x) #s(hole binary64 (+ x (/ x eps))))
#s(approx (- eps 1) #s(hole binary64 eps))
#s(approx (- eps 1) #s(hole binary64 (* eps (- 1 (/ 1 eps)))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (/ x eps))))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (/ x eps) (/ x (pow eps 2))))))))
#s(approx (- (/ x eps) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ x eps) x) #s(hole binary64 (- (/ x eps) x)))
#s(approx (- eps -1) #s(hole binary64 eps))
#s(approx (- eps -1) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))))
#s(approx (- (/ 1 eps) -1) #s(hole binary64 1))
#s(approx (- (/ 1 eps) -1) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) eps)) (* 1/2 (+ x (* -1 x))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x)))))))) eps)) (* 1/2 (+ x (* -1 x))))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))) eps))))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1 (+ x (* -1 x))) (* -1 (/ (+ x (* -1 x)) eps))))) eps))))))))
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1)))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ (+ x (* -1 x)) eps)))))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ (+ x (+ (* -1 x) (/ x eps))) eps)))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps)))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) (neg x) x (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (+ (/ x eps) x) (/ x eps) (- eps 1) (* (- (/ x eps) x) (- eps -1)) (- (/ x eps) x) (- eps -1) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) -1) (/ 1 eps) (* (- (/ 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))
7.0ms
x
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) (neg x) x (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (+ (/ x eps) x) (/ x eps) (- eps 1) (* (- (/ x eps) x) (- eps -1)) (- (/ x eps) x) (- eps -1) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) -1) (/ 1 eps) (* (- (/ 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))
7.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) (neg x) x (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (+ (/ x eps) x) (/ x eps) (- eps 1) (* (- (/ x eps) x) (- eps -1)) (- (/ x eps) x) (- eps -1) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) -1) (/ 1 eps) (* (- (/ 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))
5.0ms
eps
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) (neg x) x (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (+ (/ x eps) x) (/ x eps) (- eps 1) (* (- (/ x eps) x) (- eps -1)) (- (/ x eps) x) (- eps -1) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) -1) (/ 1 eps) (* (- (/ 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))
5.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) (neg x) x (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (+ (/ x eps) x) (/ x eps) (- eps 1) (* (- (/ x eps) x) (- eps -1)) (- (/ x eps) x) (- eps -1) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) -1) (/ 1 eps) (* (- (/ 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))

rewrite331.0ms (3.1%)

Memory
9.8MiB live, 382.3MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09777709
010327105
133286801
086196447
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
261 → 547
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))
#s(literal 2 binary64)
(cosh.f64 (*.f64 x eps))
(*.f64 x eps)
eps
#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(literal 1 binary64))
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x))))
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* 2 (exp (neg x)))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (* (pow x 2) (exp (neg x))))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (pow x 2))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (pow x 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ x (* -1 x)) eps))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (* 1/2 (+ (* -2 x) (* 2 x)))))) eps)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (+ (* 1/2 (* eps (+ x (* -1 x)))) (* 1/2 (+ (* -2 x) (* 2 x))))))) eps)))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (* -1 x)) eps)))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (+ (* -1 x) (* eps (+ (* -2 x) (* 2 x))))) eps)))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (+ (* -1 x) (* eps (+ (* -2 x) (+ (* 2 x) (* eps (+ x (* -1 x)))))))) eps)))
#s(approx (+ (/ x eps) x) #s(hole binary64 (/ x eps)))
#s(approx (+ (/ x eps) x) #s(hole binary64 (/ (+ x (* eps x)) eps)))
#s(approx (- eps 1) #s(hole binary64 -1))
#s(approx (- eps 1) #s(hole binary64 (- eps 1)))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ x eps)))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ (+ x (* eps (+ x (* -1 x)))) eps)))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ (+ x (* eps (+ x (+ (* -1 x) (* -1 (* eps x)))))) eps)))
#s(approx (- (/ x eps) x) #s(hole binary64 (/ x eps)))
#s(approx (- (/ x eps) x) #s(hole binary64 (/ (+ x (* -1 (* eps x))) eps)))
#s(approx (- eps -1) #s(hole binary64 1))
#s(approx (- eps -1) #s(hole binary64 (+ 1 eps)))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)))
#s(approx (- (/ 1 eps) -1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) -1) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 x))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ x (* -1 x)) (pow eps 2))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps)))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (* -1 x)))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (+ (* -2 (/ x eps)) (+ (* -1 x) (* 2 (/ x eps))))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (+ (* -2 (/ x eps)) (+ (* -1 x) (+ (* -1 (/ x (pow eps 2))) (+ (* 2 (/ x eps)) (/ x (pow eps 2))))))))))
#s(approx (+ (/ x eps) x) #s(hole binary64 x))
#s(approx (+ (/ x eps) x) #s(hole binary64 (+ x (/ x eps))))
#s(approx (- eps 1) #s(hole binary64 eps))
#s(approx (- eps 1) #s(hole binary64 (* eps (- 1 (/ 1 eps)))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (/ x eps))))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (/ x eps) (/ x (pow eps 2))))))))
#s(approx (- (/ x eps) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ x eps) x) #s(hole binary64 (- (/ x eps) x)))
#s(approx (- eps -1) #s(hole binary64 eps))
#s(approx (- eps -1) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))))
#s(approx (- (/ 1 eps) -1) #s(hole binary64 1))
#s(approx (- (/ 1 eps) -1) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) eps)) (* 1/2 (+ x (* -1 x))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x)))))))) eps)) (* 1/2 (+ x (* -1 x))))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))) eps))))))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1 (+ x (* -1 x))) (* -1 (/ (+ x (* -1 x)) eps))))) eps))))))))
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1)))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ (+ x (* -1 x)) eps)))))))
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ (+ x (+ (* -1 x) (/ x eps))) eps)))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps)))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps)))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) (exp.f64 (neg.f64 x))))
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x
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#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
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#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal -1 binary64)))) (neg.f64 x)))
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (neg.f64 (fma.f64 x eps x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (/ x eps) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x 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 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.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 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) 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) (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (*.f64 eps eps) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))))
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)))) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (exp.f64 (neg.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 eps (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)))))) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 eps eps) (exp.f64 (neg.f64 x))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x)))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)))) eps)) (*.f64 eps eps) (/.f64 #s(literal 2 binary64) (exp.f64 x))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 eps (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)))))) eps (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 eps eps) (/.f64 #s(literal 2 binary64) (exp.f64 x))))
#s(approx (* 2 (cosh (* x eps))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))) eps)) #s(literal 2 binary64)))
#s(approx (* 2 (cosh (* x eps))) (fma.f64 (fma.f64 eps (neg.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x)) eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))))) (*.f64 x x)) (*.f64 eps eps) #s(literal 2 binary64)))
#s(approx (cosh (* x eps)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))) eps) (*.f64 x x))) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cosh (* x eps)) (fma.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x)) eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx eps eps)
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) eps))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) x) eps (*.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) eps (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) eps))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 #s(literal 0 binary64) (/.f64 x eps)))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) eps)) eps))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) eps)) eps)) eps))
#s(approx (+ (/ x eps) x) (/.f64 x eps))
#s(approx (+ (/ x eps) x) (/.f64 (fma.f64 x eps x) eps))
#s(approx (- eps 1) #s(literal -1 binary64))
#s(approx (- eps 1) (-.f64 eps #s(literal 1 binary64)))
#s(approx (* (- (/ x eps) x) (- eps -1)) (/.f64 x eps))
#s(approx (* (- (/ x eps) x) (- eps -1)) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x) eps x) eps))
#s(approx (* (- (/ x eps) x) (- eps -1)) (/.f64 (fma.f64 (*.f64 x (+.f64 #s(literal 0 binary64) (neg.f64 eps))) eps x) eps))
#s(approx (- (/ x eps) x) (/.f64 x eps))
#s(approx (- (/ x eps) x) (/.f64 (-.f64 x (*.f64 x eps)) eps))
#s(approx (- eps -1) #s(literal 1 binary64))
#s(approx (- eps -1) (-.f64 eps #s(literal -1 binary64)))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 eps eps))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 x #s(literal -1 binary64))))))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 eps (+.f64 (fma.f64 eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) eps))
#s(approx (- (/ 1 eps) -1) (/.f64 #s(literal 1 binary64) eps))
#s(approx (- (/ 1 eps) -1) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps))
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 x #s(literal -1 binary64)))) eps (exp.f64 (neg.f64 x))) eps))
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#s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 (neg.f64 (-.f64 eps #s(literal 1 binary64))) eps))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 x)))
#s(approx (exp (neg (* (+ 1 eps) x))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) x) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) eps) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) eps) (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))))
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x))
#s(approx (neg (* (+ 1 eps) x)) (-.f64 (*.f64 (neg.f64 x) eps) x))
#s(approx (* (+ 1 eps) x) x)
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x))
#s(approx (- eps -1) #s(literal 1 binary64))
#s(approx (- eps -1) (-.f64 eps #s(literal -1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.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 (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 x eps) x))) eps #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 eps eps)))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps)) eps))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (*.f64 #s(literal 0 binary64) x) eps))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (neg.f64 x))) x) eps))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) (+.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 x (*.f64 eps eps))) (/.f64 x (*.f64 eps eps))) (neg.f64 x))) x) eps))
#s(approx (+ (/ x eps) x) x)
#s(approx (+ (/ x eps) x) (+.f64 (/.f64 x eps) x))
#s(approx (- eps 1) eps)
#s(approx (- eps 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (neg.f64 x) eps))
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x eps) (neg.f64 x)) eps))
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x eps) (/.f64 x (*.f64 eps eps))) (neg.f64 x)) eps))
#s(approx (- (/ x eps) x) (neg.f64 x))
#s(approx (- (/ x eps) x) (-.f64 (/.f64 x eps) x))
#s(approx (- eps -1) eps)
#s(approx (- eps -1) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (/ 1 eps) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 eps) -1) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 eps) 1) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 x) eps))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (* (+ 1 eps) x) (*.f64 x eps))
#s(approx (* (+ 1 eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps))
#s(approx (- eps -1) eps)
#s(approx (- eps -1) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))
#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 (-.f64 x (*.f64 x eps)))) (exp.f64 (neg.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 (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (neg.f64 eps) (fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) eps))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (neg.f64 eps) (fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 x eps) x)) #s(literal 1 binary64)) (neg.f64 eps)))))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (*.f64 #s(literal 0 binary64) x) eps))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 x eps) x)) eps))
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 0 binary64) x (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 x eps) x)) eps))))
#s(approx (- eps 1) (*.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x eps) (neg.f64 x)) eps))
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (neg.f64 eps) (-.f64 x (/.f64 (fma.f64 #s(literal 0 binary64) x (/.f64 x eps)) eps))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) eps) (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (* (+ 1 eps) x) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 x) (/.f64 x eps))))

eval66.0ms (0.6%)

Memory
-0.1MiB live, 141.5MiB allocated; 18ms collecting garbage
Compiler

Compiled 6 508 to 2 597 computations (60.1% saved)

prune20.0ms (0.2%)

Memory
-1.1MiB live, 44.2MiB allocated; 6ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New49710507
Fresh112
Picked415
Done000
Total50212514
Accuracy
100.0%
Counts
514 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.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)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
85.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
39.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
69.0%
#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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
16.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))))
77.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
39.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64))))
69.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
38.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
17.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))))
39.5%
#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 752 to 711 computations (5.5% saved)

series164.0ms (1.5%)

Memory
11.1MiB live, 56.9MiB allocated; 5ms collecting garbage
Counts
33 → 113
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))
#s(literal 2 binary64)
(cosh.f64 (*.f64 x eps))
(*.f64 x eps)
x
eps
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (neg.f64 x) #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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 0 binary64) x) eps)
(*.f64 #s(literal 0 binary64) x)
#s(literal 0 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))
(/.f64 x (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(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1)))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1)))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 2))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* 2 (* x (+ 1/2 (* 1/2 (pow eps 2))))) 2)))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* x (+ (* 2 (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))) (* 2 (+ 1/2 (* 1/2 (pow eps 2)))))) 2)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 2))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (pow x 2)))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (pow eps 2))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* x (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))) (pow eps 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 1))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))))))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (neg x) -1) #s(hole binary64 1))
#s(approx (- (neg x) -1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))))
#s(approx (* (* (* 0 x) eps) 1/2) #s(hole binary64 0))
#s(approx (* (* 0 x) eps) #s(hole binary64 0))
#s(approx (* 0 x) #s(hole binary64 0))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 2))
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* -1 (pow x 2)))))
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))))
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))))
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 1))
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ x (exp x)) #s(hole binary64 x))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1))))))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) -1) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))))
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* 2 (/ x (exp x)))))
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))))
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (/ x (exp x))))
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ x (exp x)) #s(hole binary64 (/ x (exp x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps))))) (/ 1 x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* 2 (exp (neg x)))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (* (pow x 2) (exp (neg x))))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (pow x 2))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (pow x 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ x (* -1 x)) eps))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (* 1/2 (+ (* -2 x) (* 2 x)))))) eps)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (+ (* 1/2 (* eps (+ x (* -1 x)))) (* 1/2 (+ (* -2 x) (* 2 x))))))) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ x (* -1 x)) (pow eps 2))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) eps)) (* 1/2 (+ x (* -1 x))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x)))))))) eps)) (* 1/2 (+ x (* -1 x))))))))
Calls

6 calls:

TimeVariablePointExpression
148.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) 1 (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) x eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (neg x) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (* (* (* 0 x) eps) 1/2) (* (* 0 x) eps) (* 0 x) 0 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (exp x))
4.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) 1 (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) x eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (neg x) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (* (* (* 0 x) eps) 1/2) (* (* 0 x) eps) (* 0 x) 0 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (exp x))
2.0ms
eps
@-inf
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2.0ms
eps
@inf
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2.0ms
x
@0
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rewrite1.5s (13.7%)

Memory
18.3MiB live, 523.0MiB allocated; 104ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06304365
06503823
122683669
085533336
0325293105
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
146 → 527
Calls
Call 1
Inputs
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(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))
#s(approx (exp (neg x)) #s(literal 1 binary64))
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(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))
#s(literal 2 binary64)
(cosh.f64 (*.f64 x eps))
(*.f64 x eps)
x
eps
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(-.f64 (neg.f64 x) #s(literal -1 binary64))
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#s(approx (* x eps) #s(hole binary64 (* eps x)))
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#s(approx (* (* 0 x) eps) #s(hole binary64 0))
#s(approx (* 0 x) #s(hole binary64 0))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1))
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#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))))
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
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#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
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#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) -1) #s(hole binary64 (* x (- (/ 1 x) 1))))
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#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x))))
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#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* 2 (/ x (exp x)))))
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#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (/ x (exp x))))
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))))
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#s(approx (exp x) #s(hole binary64 (exp x)))
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* 2 (exp (neg x)))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (* (pow x 2) (exp (neg x))))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (pow x 2))))))
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (pow x 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ x (* -1 x)) eps))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (* 1/2 (+ (* -2 x) (* 2 x)))))) eps)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (+ (* 1/2 (* eps (+ x (* -1 x)))) (* 1/2 (+ (* -2 x) (* 2 x))))))) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ x (* -1 x)) (pow eps 2))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* eps (+ x (* -1 x))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) eps)) (* 1/2 (+ x (* -1 x))))))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x)))))))) eps)) (* 1/2 (+ x (* -1 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)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(*.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps)))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps))))
(*.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps)))))
(neg.f64 (*.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(fma.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)))))
(fma.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)))))
(+.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps)))
(*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (cosh.f64 (*.f64 x eps)) (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps)))) #s(literal -1/2 binary64) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps)))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(fma.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(fma.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(fma.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x eps))))
(fma.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x eps)) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) eps))))
(fma.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(+.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) eps))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x eps))))
(+.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x eps))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) eps))))
(+.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(+.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (neg x)) #s(literal 1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (cosh.f64 (*.f64 x eps))) #s(literal -2 binary64))
(*.f64 (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 (*.f64 x eps))))
(*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal -2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 x eps)) (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 4 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 4 binary64)))) #s(literal -4 binary64))
(/.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 4 binary64))) #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 x eps))))
(fma.f64 (pow.f64 (exp.f64 eps) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (*.f64 x eps)))
(fma.f64 (pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x eps)))
(fma.f64 (pow.f64 (exp.f64 eps) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))) (exp.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal -1/2 binary64) (cosh.f64 (*.f64 x eps)))
(fma.f64 (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 x eps))) (cosh.f64 (*.f64 x eps)))
(fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 (*.f64 x eps)))
(fma.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1 binary64) (cosh.f64 (*.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps)))) (cosh.f64 (*.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) (cosh.f64 (*.f64 x eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cosh.f64 (*.f64 x eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (cosh.f64 (*.f64 x eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x eps))) (cosh.f64 (*.f64 x eps)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (cosh.f64 (*.f64 x eps)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) (cosh.f64 (*.f64 x eps)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)) (exp.f64 (*.f64 x eps)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 (neg.f64 x) eps)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x eps)) (cosh.f64 (*.f64 x eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 x eps)) (cosh.f64 (*.f64 x eps))) (sinh.f64 (*.f64 x eps)))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x eps))))
(-.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 0 binary64))
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x
eps
#s(literal 1/2 binary64)
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#s(approx (/ (+ x 1) (exp x)) (/.f64 x (exp.f64 x)))
#s(approx (/ (+ x 1) (exp x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (exp.f64 x)) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ x (exp x)) (/.f64 x (exp.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- (neg x) -1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.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)))) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) eps) (-.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)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #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) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (/.f64 (-.f64 x #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) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 eps eps)))) (*.f64 eps eps) (/.f64 (-.f64 x #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) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))) (*.f64 eps eps)))) (*.f64 eps eps) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64))) (*.f64 eps eps) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) eps (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (exp.f64 (neg.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)))))) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 eps eps) (exp.f64 (neg.f64 x))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x)))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) (*.f64 eps eps) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (*.f64 eps (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))))))
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) (*.f64 eps eps) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)))) (exp.f64 (neg.f64 x))) eps)) eps))))
#s(approx (* 2 (cosh (* x eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) eps (*.f64 x x)) (*.f64 eps eps) #s(literal 2 binary64)))
#s(approx (* 2 (cosh (* x eps))) (fma.f64 (fma.f64 eps (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)))) eps)) (*.f64 x x)) (*.f64 eps eps) #s(literal 2 binary64)))
#s(approx (cosh (* x eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) eps (*.f64 x x))) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cosh (* x eps)) (fma.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)))) eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx eps eps)
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 0 binary64))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps)))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 0 binary64))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps)))))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 0 binary64))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64))

eval309.0ms (2.8%)

Memory
-13.6MiB live, 76.0MiB allocated; 13ms collecting garbage
Compiler

Compiled 5 118 to 2 099 computations (59% saved)

prune129.0ms (1.2%)

Memory
-17.3MiB live, 34.3MiB allocated; 14ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New43510445
Fresh336
Picked415
Done011
Total44215457
Accuracy
100.0%
Counts
457 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.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)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
39.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp x) #s(literal 1 binary64))))
69.0%
#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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
85.1%
#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)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
16.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
47.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.f64 x)) #s(literal -1 binary64))))
39.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
69.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x))))
39.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
3.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
17.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))))
14.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))))
1.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
2.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
39.5%
#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 920 to 864 computations (6.1% saved)

series17.0ms (0.2%)

Memory
22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Counts
28 → 101
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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cosh.f64 (*.f64 x eps))
(*.f64 x eps)
x
eps
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))
#s(approx (/ x (exp x)) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 1))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1)))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (cosh (* x eps)) #s(hole binary64 1))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))))))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (/ x (exp x)) #s(hole binary64 x))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1))))))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1)))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (neg x) -1) #s(hole binary64 1))
#s(approx (- (neg x) -1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))))
#s(approx (/ x (exp x)) #s(hole binary64 (/ x (exp x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) -1) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* (pow x 3) (- 1/2 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 x) 1/2)))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (exp (neg x))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1)
3.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1)
2.0ms
x
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1)
2.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1)
2.0ms
eps
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1)

rewrite828.0ms (7.6%)

Memory
38.3MiB live, 591.9MiB allocated; 127ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04903480
05043158
115512881
272142835
085102498
0311192401
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
129 → 325
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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(cosh.f64 (*.f64 x eps))
(*.f64 x eps)
x
eps
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))
#s(approx (/ x (exp x)) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)
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(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
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#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 1))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1)))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (cosh (* x eps)) #s(hole binary64 1))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))))))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (/ x (exp x)) #s(hole binary64 x))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1))))))
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1)))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (neg x) -1) #s(hole binary64 1))
#s(approx (- (neg x) -1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1))))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x))))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))))
#s(approx (/ x (exp x)) #s(hole binary64 (/ x (exp x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) -1) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* (pow x 3) (- 1/2 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 x) 1/2)))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2)))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (exp (neg x))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))))
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))))
(*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) (/.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) #s(literal -2 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (*.f64 x (+.f64 eps eps)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 x (+.f64 eps eps)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))))) (fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) (*.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 4 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 4 binary64)))) #s(literal -8 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x eps)))))
(neg.f64 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x eps)))))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)))))
(neg.f64 (fma.f64 (exp.f64 (*.f64 x eps)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal -1/2 binary64))))
(neg.f64 (fma.f64 (exp.f64 (*.f64 x eps)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)))))
(neg.f64 (neg.f64 (cosh.f64 (*.f64 x eps))))
(fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (sinh.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (sinh.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (cosh.f64 (*.f64 x eps))) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (sinh.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (cosh.f64 (*.f64 x eps))) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (sinh.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (sinh.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 x eps)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (sinh.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (sinh.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(cosh.f64 (*.f64 (neg.f64 x) eps))
(cosh.f64 (*.f64 x eps))
(-.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))))
(-.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)))
(-.f64 (cosh.f64 (*.f64 x eps)) (*.f64 #s(literal 0 binary64) (sinh.f64 (*.f64 x eps))))
(+.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (cosh.f64 (*.f64 x eps))) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 x eps)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 x eps)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (*.f64 x eps)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (sinh.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(*.f64 x eps)
(*.f64 eps x)
(neg.f64 (*.f64 (neg.f64 x) eps))
(fma.f64 x eps #s(literal 0 binary64))
(fma.f64 eps x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x eps))
(+.f64 (*.f64 x eps) #s(literal 0 binary64))
x
eps
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))
#s(approx (/ x (exp x)) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)))
#s(approx (- (neg x) -1) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x)
(*.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x x))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x x)))
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#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/2 x) -1) #s(literal -1 binary64))
#s(approx (+ (* 1/2 x) -1) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x 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 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (cosh (* x eps)) (cosh.f64 (*.f64 x eps)))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)))
#s(approx (/ x (exp x)) (/.f64 x (exp.f64 x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (- (neg x) -1) (neg.f64 x))
#s(approx (- (neg x) -1) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) x) x))) x))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) -1) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x 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 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- (neg x) -1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (+ (* 1/2 x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #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) (fma.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))) eps) eps) #s(literal 1/2 binary64) (/.f64 (-.f64 x #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) (fma.f64 (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 eps eps) (/.f64 (-.f64 x #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) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))))) (*.f64 eps eps) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (exp.f64 x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))) #s(literal 0 binary64)) eps) eps) eps)))
#s(approx (cosh (* x eps)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh (* x eps)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))) eps) eps (-.f64 #s(literal 0 binary64) (*.f64 x x)))) eps) eps #s(literal 1 binary64)))
#s(approx eps eps)
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x)))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (exp.f64 x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))) #s(literal 0 binary64)) eps) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (exp.f64 x)) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (exp.f64 x)) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x))))

eval38.0ms (0.3%)

Memory
-24.8MiB live, 64.2MiB allocated; 15ms collecting garbage
Compiler

Compiled 3 026 to 1 463 computations (51.7% saved)

prune24.0ms (0.2%)

Memory
8.7MiB live, 54.4MiB allocated; 6ms collecting garbage
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New2734277
Fresh088
Picked055
Done022
Total27319292
Accuracy
100.0%
Counts
292 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.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)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
39.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp x) #s(literal 1 binary64))))
69.0%
#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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
85.1%
#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)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
16.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
47.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.f64 x)) #s(literal -1 binary64))))
39.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
69.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x))))
29.7%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
39.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
33.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))))
3.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
17.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))))
14.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))))
14.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)) x))))
1.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
14.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
2.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
39.5%
#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 1 025 to 830 computations (19% saved)

regimes35.0ms (0.3%)

Memory
18.8MiB live, 73.2MiB allocated; 7ms collecting garbage
Counts
32 → 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) 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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.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 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) #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 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x 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)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Calls

4 calls:

12.0ms
x
8.0ms
eps
6.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.6%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)))))
99.6%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))
99.6%2x
100.0%3eps
Compiler

Compiled 50 to 40 computations (20% saved)

regimes25.0ms (0.2%)

Memory
3.8MiB live, 48.8MiB allocated; 7ms collecting garbage
Counts
30 → 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) 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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.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 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) #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 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
Calls

3 calls:

12.0ms
x
6.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.6%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)))))
99.6%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))
89.2%3x
Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes15.0ms (0.1%)

Memory
-18.4MiB live, 26.7MiB allocated; 6ms collecting garbage
Counts
24 → 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) 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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))))
Calls

2 calls:

9.0ms
(/.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))
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
99.4%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)))))
99.4%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 48 to 36 computations (25% saved)

regimes26.0ms (0.2%)

Memory
6.3MiB live, 51.5MiB allocated; 7ms collecting garbage
Counts
22 → 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) 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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
Calls

4 calls:

10.0ms
eps
6.0ms
x
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
4.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
72.1%2x
70.9%2eps
69.0%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)))))
69.0%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))
Compiler

Compiled 50 to 40 computations (20% saved)

regimes70.0ms (0.6%)

Memory
-25.6MiB live, 45.7MiB allocated; 94ms collecting garbage
Counts
14 → 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)) x))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
Calls

4 calls:

57.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
4.0ms
eps
4.0ms
x
3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
50.6%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)))))
50.6%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))
49.0%2eps
64.9%3x
Compiler

Compiled 50 to 40 computations (20% saved)

regimes5.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
12 → 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
57.0%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
9 → 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
53.9%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
-44.9MiB live, 5.6MiB allocated; 7ms collecting garbage
Counts
4 → 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (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) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
53.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Accuracy

Total -23.7b remaining (-61.2%)

Threshold costs -23.7b (-61.2%)

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

4 calls:

1.0ms
x
1.0ms
eps
1.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
39.5%1eps
39.5%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)))))
39.5%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))
39.5%1x
Compiler

Compiled 50 to 40 computations (20% saved)

bsearch38.0ms (0.4%)

Memory
26.2MiB live, 71.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
2.3935926691178936e-17
1.396739465988837e-6
Samples
15.0ms56×1valid
9.0ms104×0valid
Compiler

Compiled 562 to 504 computations (10.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-exp: 7.0ms (35.3% of total)
ival-mult!: 4.0ms (20.2% of total)
adjust: 2.0ms (10.1% of total)
ival-neg: 2.0ms (10.1% of total)
ival-div!: 2.0ms (10.1% of total)
ival-sub!: 1.0ms (5% of total)
ival-add!: 1.0ms (5% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch11.0ms (0.1%)

Memory
-27.0MiB live, 18.5MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
10.0ms
1.5892932037311382e+224
1.6170472094904216e+225
Samples
8.0ms48×0valid
Compiler

Compiled 251 to 240 computations (4.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub!: 4.0ms (57% of total)
ival-exp: 1.0ms (14.2% of total)
ival-mult!: 1.0ms (14.2% of total)
ival-div!: 1.0ms (14.2% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Memory
15.4MiB live, 65.5MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5892932037311382e+224
1.6170472094904216e+225
35.0ms
0.0617542924417492
15012.768032022484
Samples
16.0ms61×1valid
7.0ms83×0valid
Compiler

Compiled 962 to 939 computations (2.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 6.0ms (31.9% of total)
adjust: 3.0ms (16% of total)
ival-mult!: 3.0ms (16% of total)
ival-neg: 2.0ms (10.6% of total)
ival-div!: 2.0ms (10.6% of total)
ival-add!: 1.0ms (5.3% of total)
ival-sub!: 1.0ms (5.3% of total)

bsearch2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5892932037311382e+224
1.6170472094904216e+225
1.0ms
0.0617542924417492
15012.768032022484
Compiler

Compiled 935 to 912 computations (2.5% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0617542924417492
15012.768032022484
Compiler

Compiled 689 to 672 computations (2.5% saved)

bsearch38.0ms (0.4%)

Memory
-24.6MiB live, 65.5MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
0.0617542924417492
15012.768032022484
Samples
13.0ms35×1valid
7.0ms78×0valid
6.0ms15×2valid
Compiler

Compiled 599 to 582 computations (2.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult!: 8.0ms (36.2% of total)
ival-exp: 5.0ms (22.6% of total)
adjust: 3.0ms (13.6% of total)
ival-neg: 2.0ms (9% of total)
ival-div!: 2.0ms (9% of total)
ival-add!: 1.0ms (4.5% of total)
ival-sub!: 1.0ms (4.5% of total)

derivations1.7s (15.8%)

Memory
47.3MiB live, 623.1MiB allocated; 183ms collecting garbage
Stop Event
fuel
Compiler

Compiled 203 to 122 computations (39.9% saved)

preprocess86.0ms (0.8%)

Memory
31.0MiB live, 175.3MiB allocated; 38ms collecting garbage
Compiler

Compiled 228 to 141 computations (38.2% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...