NMSE Section 6.1 mentioned, A

Time bar (total: 5.7s)

start0.0ms (0%)

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

analyze26.0ms (0.5%)

Memory
-3.4MiB live, 43.7MiB allocated; 4ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.6s (46.4%)

Memory
43.7MiB live, 3 043.7MiB allocated; 1.3s collecting garbage
Samples
1.0s5 857×0valid
973.0ms2 398×1valid
106.0ms943×0exit
2.0ms14×1exit
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-div!: 518.0ms (29.5% of total)
ival-exp: 444.0ms (25.3% of total)
ival-mult!: 292.0ms (16.6% of total)
ival-add!: 148.0ms (8.4% of total)
ival-neg: 126.0ms (7.2% of total)
adjust: 122.0ms (6.9% of total)
ival-sub!: 107.0ms (6.1% of total)
Bogosity

explain352.0ms (6.2%)

Memory
17.6MiB live, 480.3MiB allocated; 49ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
715(-2.0545276929114884e-103 -6.518922530464328e-13)0-(-.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)))))
11(1.3668438260578453e-36 -1.2978055463191942e+38)1(-5.989872286426251e-166 1.3457038560461612e+167)(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
11(1.3668438260578453e-36 -1.2978055463191942e+38)1(-5.989872286426251e-166 1.3457038560461612e+167)(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-(/.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))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
00-0-(-.f64 #s(literal 1 binary64) eps)
00-0-(+.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
00-0-(/.f64 #s(literal 1 binary64) eps)
00-0-eps
00-0-(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
00-0-(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
00-0-(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.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)))))cancellation760
exp.f64(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))sensitivity11
exp.f64(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))sensitivity11
Confusion
Predicted +Predicted -
+711
-6178
Precision
0.922077922077922
Recall
0.9861111111111112
Confusion?
Predicted +Predicted MaybePredicted -
+7110
-60178
Precision?
0.9230769230769231
Recall?
1.0
Freqs
test
numberfreq
0179
176
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms364×0valid
47.0ms148×1valid
Compiler

Compiled 315 to 61 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-exp: 19.0ms (31.7% of total)
ival-mult!: 11.0ms (18.3% of total)
adjust: 9.0ms (15% of total)
ival-div!: 7.0ms (11.7% of total)
ival-neg: 6.0ms (10% of total)
ival-add!: 4.0ms (6.7% of total)
ival-sub!: 4.0ms (6.7% of total)

preprocess32.0ms (0.6%)

Memory
-19.3MiB live, 33.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063182
1211172
2666163
33285162
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Symmetry

(abs eps)

Compiler

Compiled 58 to 38 computations (34.5% saved)

series44.0ms (0.8%)

Memory
-0.1MiB live, 45.7MiB allocated; 4ms 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)

rewrite260.0ms (4.6%)

Memory
11.2MiB live, 296.3MiB allocated; 145ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05244373
05544217
132914215
088614017
Stop Event
iter-limit
node-limit
iter-limit
Counts
142 → 256
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)
#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)))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (-.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(literal 2 binary64))
(/.f64 (-.f64 (*.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))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.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(literal -2 binary64))
(/.f64 (-.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(literal 2 binary64))
(-.f64 (/.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))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.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))) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.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))))))
(/.f64 (neg.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.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))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.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))))))))
(/.f64 (-.f64 (pow.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))) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.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)))))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.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))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.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)))))))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))
#s(approx (+ 1 (/ 1 eps)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx eps eps)
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (neg.f64 x)))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) x) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (fma.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) eps) #s(literal 1/6 binary64))) 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 x eps) x))
#s(approx (* (- 1 eps) x) x)
#s(approx (* (- 1 eps) x) (fma.f64 (neg.f64 eps) x x))
#s(approx (- 1 eps) #s(literal 1 binary64))
#s(approx (- 1 eps) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))
#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 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps)) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps)) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 (+.f64 (neg.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))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 eps (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) eps) #s(literal -1/6 binary64))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 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 eps) x) 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 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) 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))) (neg.f64 (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 (/.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)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
#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 (/ 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 (/.f64 (neg.f64 x) eps) (neg.f64 x)) eps))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) x))
#s(approx (* (- 1 eps) x) (*.f64 (+.f64 (/.f64 x eps) (neg.f64 x)) eps))
#s(approx (- 1 eps) (neg.f64 eps))
#s(approx (- 1 eps) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) 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) (neg.f64 (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 eps) x))
#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 (+ 1 eps) eps)
#s(approx (+ 1 eps) (fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 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 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #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 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.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 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) eps) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))))
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x)))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) 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 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) eps) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))
#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 (/.f64 (neg.f64 x) eps) (neg.f64 x))))

eval44.0ms (0.8%)

Memory
5.8MiB live, 66.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 10 359 to 1 449 computations (86% saved)

prune36.0ms (0.6%)

Memory
-16.1MiB live, 30.5MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New23412246
Fresh000
Picked101
Done000
Total23512247
Accuracy
100.0%
Counts
247 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
73.4%
(/.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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
40.6%
(/.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)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
36.4%
(/.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))
28.7%
(/.f64 #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))) (*.f64 eps eps)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) #s(literal 2 binary64))
43.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
57.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
73.4%
#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 (/.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(literal 1/2 binary64)))
73.4%
#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 (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(literal 1/2 binary64)))
99.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
50.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (*.f64 eps eps) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))))
43.8%
#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 1 302 to 758 computations (41.8% saved)

series43.0ms (0.8%)

Memory
1.3MiB live, 92.8MiB allocated; 11ms collecting garbage
Counts
41 → 268
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(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) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 binary64) eps)
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.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) (*.f64 (-.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(literal 1/2 binary64)))
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(*.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 (/.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)))
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)))))))))
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#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3)))))))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1))
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#s(approx (exp (* (neg x) (- 1 eps))) #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 (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
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#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1)))
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#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
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#s(approx (exp (neg (+ (* x 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 (+ (* x eps) x) #s(hole binary64 (* 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 (+ 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)))))
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#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 (* (- (/ 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 1))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (+ x 1) (exp (neg 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 (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 (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 -1))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/3 x))) 1)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))) 1)))
#s(approx (* (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) 1/2) #s(hole binary64 1))
#s(approx (* (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (* (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (* (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* -1/6 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) #s(hole binary64 2))
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#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* x (- (* -1/6 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (+ 1 (+ (* -1 (* x (* (+ 1 (/ 1 eps)) (- 1 eps)))) (/ 1 eps)))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (+ 1 (+ (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (/ 1 eps)))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (+ 1 (+ (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (+ (* -1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))))) (/ 1 eps)))))
#s(approx (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)))
#s(approx (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) #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 (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) #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 (/ (- (* (+ 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps)))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (- 1 eps))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg (+ x (* eps x)))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg (+ x (* eps 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 (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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* 1/2 (* x (- (exp (neg x)) (* -1 (exp (neg x))))))))
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Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
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7.0ms
x
@0
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5.0ms
eps
@0
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5.0ms
x
@inf
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4.0ms
eps
@-inf
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rewrite211.0ms (3.7%)

Memory
19.3MiB live, 307.1MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110810230
011729579
177719579
089849345
Stop Event
iter-limit
node-limit
iter-limit
Counts
309 → 472
Calls
Call 1
Inputs
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(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(neg.f64 x)
x
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eps
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))
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#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (exp (* -1 (* x (- 1 eps))))))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
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#s(approx (+ (/ 1 eps) 1) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))
#s(approx (* (neg x) (- 1 eps)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) (neg.f64 x)) eps))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) x))
#s(approx (* (- 1 eps) x) (*.f64 (+.f64 (/.f64 x eps) (neg.f64 x)) eps))
#s(approx (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) (+.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (neg.f64 (exp.f64 (*.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 (* (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) 1/2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)))
#s(approx (* (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) 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))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (-.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)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.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 (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) (+.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 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 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) (neg.f64 x))))
#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 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.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 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) eps) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))))
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x)))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) x)))
#s(approx (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))
#s(approx (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) eps) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))))
#s(approx (* (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) 1/2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)))
#s(approx (* (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (exp (neg (+ (* x eps) x))) (- (/ 1 eps) 1))) 1/2) (fma.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #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 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) eps) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))))

eval83.0ms (1.5%)

Memory
-11.6MiB live, 189.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 32 386 to 2 887 computations (91.1% saved)

prune34.0ms (0.6%)

Memory
3.8MiB live, 96.3MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New51617533
Fresh437
Picked415
Done000
Total52421545
Accuracy
100.0%
Counts
545 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
73.4%
(/.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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
29.9%
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
28.7%
(/.f64 #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))) (*.f64 eps eps)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) #s(literal 2 binary64))
57.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
22.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
73.4%
#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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
93.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
63.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
66.7%
#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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
85.7%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
65.1%
#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) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
62.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
15.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x)) #s(literal 1/2 binary64)))
43.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
69.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
50.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))))
42.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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))))
42.7%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
43.8%
#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 2 337 to 1 415 computations (39.5% saved)

series40.0ms (0.7%)

Memory
-18.9MiB live, 75.3MiB allocated; 18ms collecting garbage
Counts
43 → 185
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))
(neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))
#s(approx (+ (* x eps) x) (*.f64 x eps))
(*.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) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.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) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64))
#s(literal -1/8 binary64)
#s(literal 1/3 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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))
(-.f64 (fma.f64 x eps x) #s(literal 1 binary64))
(fma.f64 x eps x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3)))))))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #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 x) (- 1 eps)) #s(hole binary64 (* -1 (* x (- 1 eps)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (+ (* x 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 (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (- (* 1/3 x) 1/2)))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
#s(approx (* (+ (* -1/8 x) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* -1/8 x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* -1/8 x)))))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 (+ 1/3 (* -1/8 x))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 -1))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 1))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (+ x 1) (exp (neg 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 (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 (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 -1))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/3 x))) 1)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))) 1)))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* x (- x 1))))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* x (- (* x (+ 1 (* -1/2 x))) 1))))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* x (- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps)))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (- 1 eps))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg (+ x (* eps x)))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* 1/2 (* x (- (exp (neg x)) (* -1 (exp (neg x))))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* x (+ (* 1/2 (- (exp (neg x)) (* -1 (exp (neg x))))) (* 1/2 (/ (- (exp (neg x)) (* -1 (exp (neg x)))) x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* -1/8 (pow x 4))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/8 (/ 1/2 (pow x 2)))))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))))
#s(approx (* (+ (* -1/8 x) 1/3) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/3) x) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 (* x (- (* 1/3 (/ 1 x)) 1/8))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* x (- (+ 1 eps) (/ 1 x)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (exp (neg x)) (* -1 (exp (neg x)))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (+ (exp (neg x)) (/ (exp (neg x)) x)) (+ (* -1 (exp (neg x))) (* -1 (/ (exp (neg x)) x)))))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (* x (exp (neg x)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (* -1 (* x (exp (neg x))))))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (* x (+ (* -1 (exp (neg x))) (* -1 (/ (exp (neg x)) x))))))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* -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 (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (- 1 eps)))) (exp (- (* -1 x) (* eps x)))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (- 1 eps)))) (exp (- (* -1 x) (* eps x))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (- (* -1 x) (* eps x))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (- (* -1 x) (* eps x)))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (- 1 (* -1 eps))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* x (- (* -1 eps) 1)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* -1/2 (* x (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (- (exp (* -1 x)) (* -1 (exp (* -1 x)))) x)) (* 1/2 (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/8))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/3 (/ 1 x)))))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* -1 (* x (- (* -1 eps) 1)))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* -1 (* x (- (+ (* -1 eps) (/ 1 x)) 1)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (exp (* -1 x))) (* -1 (/ (- (exp (* -1 x)) (* -1 (exp (* -1 x)))) x))) (exp (* -1 x)))))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (* x (exp (* -1 x)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (* -1 (* x (exp (* -1 x))))))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (* -1 (* x (+ (exp (* -1 x)) (/ (exp (* -1 x)) x))))))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* -1 (* x (exp (* -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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x)))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))))))
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#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))))) (* x (exp (* -1 x))))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 x))))
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#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (+ (* -1 x) (* eps x))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (* x (exp (neg x)))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* -1/2 (* eps (* (pow x 2) (exp (neg x))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* eps (- (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (+ (* x 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 (+ (* x 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 (+ (* x eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (+ (* x eps) x) #s(hole binary64 x))
#s(approx (+ (* x eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- x 1)))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- (+ x (* eps x)) 1)))
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#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps x)))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x)))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* eps x)))
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#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))
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#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
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#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- x 1) eps)))))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) (* x eps) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* (+ (* -1/8 x) 1/3) x) (+ (* -1/8 x) 1/3) -1/8 1/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) (* (neg x) (exp (neg x))))
5.0ms
x
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) (* x eps) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* (+ (* -1/8 x) 1/3) x) (+ (* -1/8 x) 1/3) -1/8 1/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) (* (neg x) (exp (neg x))))
3.0ms
x
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) (* x eps) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* (+ (* -1/8 x) 1/3) x) (+ (* -1/8 x) 1/3) -1/8 1/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) (* (neg x) (exp (neg x))))
2.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) (* x eps) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* (+ (* -1/8 x) 1/3) x) (+ (* -1/8 x) 1/3) -1/8 1/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) (* (neg x) (exp (neg x))))
2.0ms
eps
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) (* x eps) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* (+ (* -1/8 x) 1/3) x) (+ (* -1/8 x) 1/3) -1/8 1/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) (* (neg x) (exp (neg x))))

rewrite188.0ms (3.3%)

Memory
39.5MiB live, 226.1MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07895573
08325202
149185200
084815097
Stop Event
iter-limit
node-limit
iter-limit
Counts
228 → 363
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))
(neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))
#s(approx (+ (* x eps) x) (*.f64 x eps))
(*.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) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.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) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64))
#s(literal -1/8 binary64)
#s(literal 1/3 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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))
(-.f64 (fma.f64 x eps x) #s(literal 1 binary64))
(fma.f64 x eps x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3)))))))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #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 x) (- 1 eps)) #s(hole binary64 (* -1 (* x (- 1 eps)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (+ (* x 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 (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (- (* 1/3 x) 1/2)))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
#s(approx (* (+ (* -1/8 x) 1/3) x) #s(hole binary64 (* 1/3 x)))
#s(approx (* (+ (* -1/8 x) 1/3) x) #s(hole binary64 (* x (+ 1/3 (* -1/8 x)))))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 (+ 1/3 (* -1/8 x))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 -1))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 1))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (+ x 1) (exp (neg 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 (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 (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 -1))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/3 x))) 1)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))) 1)))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* x (- x 1))))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* x (- (* x (+ 1 (* -1/2 x))) 1))))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* x (- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps)))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (- 1 eps))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg (+ x (* eps x)))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* 1/2 (* x (- (exp (neg x)) (* -1 (exp (neg x))))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* x (+ (* 1/2 (- (exp (neg x)) (* -1 (exp (neg x))))) (* 1/2 (/ (- (exp (neg x)) (* -1 (exp (neg x)))) x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* -1/8 (pow x 4))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/8 (/ 1/2 (pow x 2)))))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))))
#s(approx (* (+ (* -1/8 x) 1/3) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/3) x) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 (* x (- (* 1/3 (/ 1 x)) 1/8))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* x (- (+ 1 eps) (/ 1 x)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (exp (neg x)) (* -1 (exp (neg x)))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (+ (exp (neg x)) (/ (exp (neg x)) x)) (+ (* -1 (exp (neg x))) (* -1 (/ (exp (neg x)) x)))))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (* x (exp (neg x)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (* -1 (* x (exp (neg x))))))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (* x (+ (* -1 (exp (neg x))) (* -1 (/ (exp (neg x)) x))))))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* -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 (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (- 1 eps)))) (exp (- (* -1 x) (* eps x)))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (- 1 eps)))) (exp (- (* -1 x) (* eps x))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (- (* -1 x) (* eps x))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (- (* -1 x) (* eps x)))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (- 1 (* -1 eps))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* x (- (* -1 eps) 1)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* -1/2 (* x (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (- (exp (* -1 x)) (* -1 (exp (* -1 x)))) x)) (* 1/2 (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/8))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/3) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/3 (/ 1 x)))))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* -1 (* x (- (* -1 eps) 1)))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* -1 (* x (- (+ (* -1 eps) (/ 1 x)) 1)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (exp (* -1 x))) (* -1 (/ (- (exp (* -1 x)) (* -1 (exp (* -1 x)))) x))) (exp (* -1 x)))))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (* x (exp (* -1 x)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (* -1 (* x (exp (* -1 x))))))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (* -1 (* x (+ (exp (* -1 x)) (/ (exp (* -1 x)) x))))))
#s(approx (* (neg x) (exp (neg x))) #s(hole binary64 (* -1 (* x (exp (* -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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x)))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))))) (* x (exp (* -1 x))))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 x))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (+ (* -1 x) (* eps x))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (* x (exp (neg x)))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* -1/2 (* eps (* (pow x 2) (exp (neg x))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* eps (- (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (+ (* x 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 (+ (* x 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 (+ (* x eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (+ (* x eps) x) #s(hole binary64 x))
#s(approx (+ (* x eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- x 1)))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- (+ x (* eps 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 (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 (* (neg x) (- 1 eps)) #s(hole binary64 (* eps x)))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x)))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* eps x)))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* eps (- (+ x (/ 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 (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- x 1) eps)))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))))
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (+.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))
(pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x)
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) eps)) x)
(pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) eps)))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 #s(literal 1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
#s(literal 1 binary64)
eps
(neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))
(pow.f64 (exp.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))
(-.f64 (cosh.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) (sinh.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))
(exp.f64 (-.f64 #s(literal 0 binary64) #s(approx (+ (* x eps) x) (*.f64 x eps))))
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))
(+.f64 (cosh.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) (sinh.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))
(neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))
#s(approx (+ (* x eps) x) (*.f64 x eps))
(*.f64 x eps)
(*.f64 eps x)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
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#s(approx (* (+ (* -1/8 x) 1/3) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x))
#s(approx (+ (* -1/8 x) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* -1/8 x) 1/3) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)))
#s(approx (- (+ (* x eps) x) 1) #s(literal -1 binary64))
#s(approx (- (+ (* x eps) x) 1) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))
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#s(approx (exp (neg x)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))
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#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x) #s(literal -1/2 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) #s(literal 1/3 binary64)) x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* -1/8 x) 1/3) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (- (+ (* x eps) x) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 eps) #s(literal 1 binary64))))
#s(approx (- (+ (* x eps) x) 1) (*.f64 (neg.f64 x) (-.f64 (+.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x)) (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))))
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) x))
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) x) (neg.f64 (exp.f64 (neg.f64 x))))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))))
#s(approx (* (neg x) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 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 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 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) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 6 binary64) (neg.f64 x))) #s(literal 1/720 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 7 binary64) (neg.f64 x))) #s(literal 1/5040 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 6 binary64) (neg.f64 x))) #s(literal -1/720 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 7 binary64) (neg.f64 x))) #s(literal -1/5040 binary64)))) (*.f64 eps eps) (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))))) (*.f64 eps eps) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (exp.f64 (neg.f64 x)) x)))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal 1/6 binary64))) eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))))) eps)) eps (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 x) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal 1/6 binary64))) eps)) (*.f64 (exp.f64 (neg.f64 x)) x))) eps (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (neg.f64 x)))
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) x) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.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 x) (- 1 eps))) (fma.f64 eps (fma.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 x) (- 1 eps)) (neg.f64 x))
#s(approx (* (neg x) (- 1 eps)) (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
#s(approx (- 1 eps) #s(literal 1 binary64))
#s(approx (- 1 eps) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))
#s(approx eps eps)
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (neg.f64 x))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) x) eps) (exp.f64 (neg.f64 x))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.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)) (neg.f64 x))) eps) (exp.f64 (neg.f64 x))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (-.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)) (neg.f64 x))) eps) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (+ (* x eps) x))) (exp.f64 (neg.f64 x)))
#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 eps (fma.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)) (neg.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (neg (+ (* x eps) x)) (neg.f64 x))
#s(approx (neg (+ (* x eps) x)) (-.f64 (*.f64 (neg.f64 eps) x) x))
#s(approx (+ (* x eps) x) x)
#s(approx (+ (* x eps) x) (fma.f64 x eps x))
#s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (+ (* x eps) x) 1) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))))
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))
#s(approx (* (neg x) (- 1 eps)) (*.f64 (+.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (- 1 eps) (neg.f64 eps))
#s(approx (- 1 eps) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps))
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x))
#s(approx (neg (+ (* x eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (+ (* x eps) x) (*.f64 x eps))
#s(approx (+ (* x eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps))
#s(approx (- (+ (* x eps) x) 1) (*.f64 x eps))
#s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 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 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) (neg.f64 x))))
#s(approx (- (+ (* x eps) x) 1) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) (neg.f64 x))))

eval62.0ms (1.1%)

Memory
-28.7MiB live, 117.9MiB allocated; 10ms collecting garbage
Compiler

Compiled 25 700 to 2 297 computations (91.1% saved)

prune32.0ms (0.6%)

Memory
22.1MiB live, 69.6MiB allocated; 1ms collecting garbage
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New38812400
Fresh41115
Picked325
Done011
Total39526421
Accuracy
100.0%
Counts
421 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
73.4%
(/.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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
29.9%
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
28.7%
(/.f64 #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))) (*.f64 eps eps)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) #s(literal 2 binary64))
57.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
22.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
73.4%
#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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
30.4%
#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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 x eps)))) #s(literal 1/2 binary64)))
66.7%
#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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
85.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
64.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
69.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
9.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (* (+ x 1) (exp (neg x))) #s(literal 1 binary64)) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
65.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
62.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
62.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
48.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
15.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x)) #s(literal 1/2 binary64)))
43.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
69.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
50.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))))
52.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
42.7%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
42.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
1.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
43.8%
#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 2 917 to 1 757 computations (39.8% saved)

series24.0ms (0.4%)

Memory
2.3MiB live, 49.7MiB allocated; 1ms collecting garbage
Counts
43 → 170
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)))
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))
(*.f64 x eps)
x
eps
(neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))
(neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))
#s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))
(-.f64 (fma.f64 x eps x) #s(literal 1 binary64))
(fma.f64 x eps x)
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.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)
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
#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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 x eps)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 x eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) eps)
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 x eps)))
#s(approx (- (+ (* x eps) x) 1) (*.f64 x eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x)))
#s(approx (* (neg x) (- 1 eps)) (neg.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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3)))))))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #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 x) (- 1 eps)) #s(hole binary64 (* -1 (* x (- 1 eps)))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (+ (* x 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 (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 -1))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
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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 (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps x)))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x)))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* eps x)))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* eps (- (+ x (/ x eps)) (/ 1 eps)))))
#s(approx (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (* -1 (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (* -1 (* x (- 1 eps)))) (/ (exp (* -1 (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (exp (* -1 (* x (- 1 eps))))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (+ (exp (* -1 (* x (- 1 eps)))) (/ (exp (* -1 (* 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 (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* 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 (* 1/2 (- (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 (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- x 1) eps)))))))
#s(approx (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ (exp (* -1 (* 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 (- 1 eps) #s(hole binary64 (* -1 (* eps (- 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 1 (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)))
3.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 1 (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)))
3.0ms
x
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 1 (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)))
3.0ms
eps
@inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 1 (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)))
3.0ms
eps
@0
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 1 (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (+ (* x eps) x) (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)))

rewrite195.0ms (3.4%)

Memory
-28.4MiB live, 261.4MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08147220
08486727
157426727
080436573
Stop Event
iter-limit
node-limit
iter-limit
Counts
213 → 291
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 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)))
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))
(*.f64 x eps)
x
eps
(neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))
(neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))
#s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))
#s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))
(-.f64 (fma.f64 x eps x) #s(literal 1 binary64))
(fma.f64 x eps x)
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.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)
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
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#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* eps (- (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
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#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
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#s(approx (+ (* x eps) x) #s(hole binary64 (+ x (* eps x))))
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#s(approx (+ (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 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 (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps x)))
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x)))
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#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* eps x)))
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#s(approx (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (* -1 (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (* -1 (* x (- 1 eps)))) (/ (exp (* -1 (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (exp (* -1 (* x (- 1 eps))))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(hole binary64 (+ (exp (* -1 (* x (- 1 eps)))) (/ (exp (* -1 (* x (- 1 eps)))) eps))))
#s(approx (+ (/ 1 eps) 1) #s(hole binary64 1))
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#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 (- 1 eps) #s(hole binary64 (* -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 (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
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#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
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#s(approx (- 1 eps) (+.f64 (neg.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))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))))
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))
#s(approx (* (neg x) (- 1 eps)) (*.f64 (+.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x))
#s(approx (neg (+ (* x eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (+ (* x eps) x) (*.f64 x eps))
#s(approx (+ (* x eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps))
#s(approx (- (+ (* x eps) x) 1) (*.f64 x eps))
#s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (-.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)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (neg.f64 (exp.f64 (*.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) (neg.f64 eps))
#s(approx (- 1 eps) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 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 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64))))
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) (neg.f64 x))))
#s(approx (- (+ (* x eps) x) 1) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (-.f64 x #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))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 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 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))))
#s(approx (- (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))))
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64)))) eps) (exp.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 eps) #s(literal 1 binary64))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) eps) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))))
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))

eval43.0ms (0.8%)

Memory
-3.6MiB live, 89.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 18 500 to 1 693 computations (90.8% saved)

prune32.0ms (0.6%)

Memory
23.0MiB live, 70.3MiB allocated; 2ms collecting garbage
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New2738281
Fresh41418
Picked235
Done033
Total27928307
Accuracy
100.0%
Counts
307 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
73.4%
(/.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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
15.5%
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
17.7%
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
28.7%
(/.f64 #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))) (*.f64 eps eps)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) #s(literal 2 binary64))
57.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
22.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
73.4%
#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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
22.4%
#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) #s(approx (- 1 eps) #s(literal 1 binary64)))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 x eps)))) #s(literal 1/2 binary64)))
85.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
64.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
66.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
69.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
56.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
65.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
62.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
62.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
48.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
14.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
43.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
48.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) eps)))) #s(literal 1/2 binary64)))
15.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x)) #s(literal 1/2 binary64)))
69.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
50.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))))
52.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
42.7%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
42.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
43.8%
#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 4 448 to 1 326 computations (70.2% saved)

regimes56.0ms (1%)

Memory
24.4MiB live, 114.5MiB allocated; 10ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (* (+ x 1) (exp (neg x))) #s(literal 1 binary64)) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(approx (- 1 eps) #s(literal 1 binary64)))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (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(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (*.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) 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) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.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))
#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))) (neg.f64 (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 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.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(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 (*.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(literal 1/2 binary64)))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (*.f64 eps eps) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))))
(/.f64 #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))) (*.f64 eps eps)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
Calls

4 calls:

16.0ms
eps
13.0ms
(/.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))
13.0ms
x
10.0ms
(-.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
99.0%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)))))
99.0%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))
99.0%1x
99.0%1eps
Compiler

Compiled 58 to 40 computations (31% saved)

regimes128.0ms (2.2%)

Memory
-0.2MiB live, 124.7MiB allocated; 68ms collecting garbage
Counts
38 → 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (* (+ x 1) (exp (neg x))) #s(literal 1 binary64)) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(approx (- 1 eps) #s(literal 1 binary64)))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (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(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (*.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) 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) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.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))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
Calls

4 calls:

50.0ms
x
46.0ms
(-.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)))))
23.0ms
eps
7.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.1%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
99.1%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
93.0%1x
99.1%2eps
Compiler

Compiled 58 to 40 computations (31% saved)

regimes31.0ms (0.6%)

Memory
-10.9MiB live, 35.4MiB allocated; 7ms collecting garbage
Counts
34 → 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (* (+ x 1) (exp (neg x))) #s(literal 1 binary64)) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(approx (- 1 eps) #s(literal 1 binary64)))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (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(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (*.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) 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) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
Calls

3 calls:

13.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
9.0ms
eps
7.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.1%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
99.1%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.0%2eps
Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes15.0ms (0.3%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Counts
33 → 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (* (+ x 1) (exp (neg x))) #s(literal 1 binary64)) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(approx (- 1 eps) #s(literal 1 binary64)))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (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(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (*.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
Calls

2 calls:

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
99.0%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
99.0%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 56 to 36 computations (35.7% saved)

regimes32.0ms (0.6%)

Memory
-12.5MiB live, 34.8MiB allocated; 2ms collecting garbage
Counts
31 → 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (* (+ x 1) (exp (neg x))) #s(literal 1 binary64)) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(approx (- 1 eps) #s(literal 1 binary64)))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (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(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
Calls

4 calls:

9.0ms
eps
8.0ms
x
6.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
85.6%2x
81.0%2eps
80.0%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
80.0%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 58 to 40 computations (31% saved)

regimes7.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
85.5%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (0.3%)

Memory
-18.1MiB live, 28.7MiB allocated; 2ms collecting garbage
Counts
17 → 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
Calls

4 calls:

5.0ms
eps
5.0ms
x
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)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
66.6%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)))))
66.6%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))
66.6%1eps
79.9%2x
Compiler

Compiled 58 to 40 computations (31% saved)

regimes6.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) 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(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (- (* (+ (* -1/8 x) 1/3) x) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
69.0%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
69.0%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
10 → 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
Calls

4 calls:

3.0ms
x
3.0ms
eps
2.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
52.9%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)))))
52.9%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))
52.9%1eps
61.2%2x
Compiler

Compiled 58 to 40 computations (31% saved)

regimes46.0ms (0.8%)

Memory
-42.8MiB live, 6.8MiB allocated; 45ms 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/8 x) 1/3) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 #s(approx (- (* (+ (* -1/8 x) 1/3) x) 1/2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (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) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
58.9%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.2%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
6 → 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

4 calls:

2.0ms
x
2.0ms
eps
2.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
48.4%1eps
48.4%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)))))
48.4%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))
48.4%1x
Compiler

Compiled 58 to 40 computations (31% saved)

regimes8.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
5 → 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (exp (* (neg x) (- 1 eps))) (+ (/ 1 eps) 1)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (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) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
x
2.0ms
eps
2.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
47.0%2eps
48.7%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)))))
48.7%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))
49.4%2x
Compiler

Compiled 58 to 40 computations (31% saved)

regimes6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.8b remaining (-2.3%)

Threshold costs -0.8b (-2.3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg 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) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(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
43.8%1eps
43.8%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
43.8%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
43.8%1x
Compiler

Compiled 58 to 40 computations (31% saved)

bsearch24.0ms (0.4%)

Memory
-23.7MiB live, 25.6MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
21.0ms
1.1296122288080238e-51
1.1282046328400263e-45
Samples
11.0ms47×1valid
1.0ms17×0valid
1.0ms16×0exit
Compiler

Compiled 464 to 312 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 4.0ms (35.7% of total)
adjust: 2.0ms (17.8% of total)
ival-mult!: 2.0ms (17.8% of total)
ival-add!: 1.0ms (8.9% of total)
ival-sub!: 1.0ms (8.9% of total)
ival-div!: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.5723518536277652
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.5723518536277652
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
-4.72013385531491e-302
1.1187494075882358e-307
Samples
2.0ms1valid
1.0ms0valid
Compiler

Compiled 136 to 96 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (54.2% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
-4.72013385531491e-302
1.1187494075882358e-307
Compiler

Compiled 140 to 96 computations (31.4% saved)

bsearch33.0ms (0.6%)

Memory
-6.5MiB live, 39.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-20.891437346599176
-9.215491593104314e-5
Samples
14.0ms54×1valid
9.0ms90×0valid
Compiler

Compiled 995 to 672 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 6.0ms (31.5% of total)
ival-mult!: 5.0ms (26.2% of total)
adjust: 2.0ms (10.5% of total)
ival-neg: 2.0ms (10.5% of total)
ival-div!: 2.0ms (10.5% of total)
ival-add!: 1.0ms (5.2% of total)
ival-sub!: 1.0ms (5.2% of total)

bsearch28.0ms (0.5%)

Memory
-13.2MiB live, 33.2MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
27.26596249705197
394703.1477889302
Samples
8.0ms93×0valid
6.0ms27×1valid
3.0ms2valid
Compiler

Compiled 784 to 520 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-exp: 4.0ms (29.1% of total)
ival-mult!: 3.0ms (21.8% of total)
adjust: 2.0ms (14.5% of total)
ival-neg: 2.0ms (14.5% of total)
ival-div!: 2.0ms (14.5% of total)
ival-add!: 1.0ms (7.3% of total)
ival-sub!: 1.0ms (7.3% of total)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
27.26596249705197
394703.1477889302
Compiler

Compiled 816 to 520 computations (36.3% saved)

bsearch38.0ms (0.7%)

Memory
-3.6MiB live, 44.4MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
9.963944124193837e-25
6.43563568953637e-13
Samples
16.0ms65×1valid
8.0ms95×0valid
Compiler

Compiled 1 052 to 654 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-exp: 7.0ms (35.7% of total)
ival-mult!: 4.0ms (20.4% of total)
adjust: 3.0ms (15.3% of total)
ival-neg: 2.0ms (10.2% of total)
ival-div!: 2.0ms (10.2% of total)
ival-sub!: 1.0ms (5.1% of total)
ival-add!: 1.0ms (5.1% of total)

bsearch28.0ms (0.5%)

Memory
34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-20.891437346599176
-9.215491593104314e-5
Samples
14.0ms56×1valid
5.0ms56×0valid
Compiler

Compiled 1 139 to 708 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 5.0ms (32.1% of total)
ival-mult!: 3.0ms (19.2% of total)
adjust: 2.0ms (12.8% of total)
ival-neg: 2.0ms (12.8% of total)
ival-div!: 2.0ms (12.8% of total)
ival-add!: 1.0ms (6.4% of total)
ival-sub!: 1.0ms (6.4% of total)

bsearch20.0ms (0.3%)

Memory
-23.7MiB live, 22.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-20.891437346599176
-9.215491593104314e-5
Samples
9.0ms31×1valid
4.0ms49×0valid
Compiler

Compiled 878 to 564 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult!: 4.0ms (35.6% of total)
ival-exp: 3.0ms (26.7% of total)
adjust: 1.0ms (8.9% of total)
ival-sub!: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)
ival-div!: 1.0ms (8.9% of total)
ival-add!: 0.0ms (0% of total)

derivations462.0ms (8.1%)

Memory
18.0MiB live, 296.6MiB allocated; 31ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 392 to 158 computations (88.6% saved)

preprocess251.0ms (4.4%)

Memory
-16.3MiB live, 238.2MiB allocated; 116ms collecting garbage
Remove

(abs eps)

Compiler

Compiled 5 626 to 1 664 computations (70.4% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...