NMSE Section 6.1 mentioned, A

Time bar (total: 6.2s)

start0.0ms (0%)

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

analyze30.0ms (0.5%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.9s (47.3%)

Memory
15.6MiB live, 2 317.6MiB allocated; 608ms collecting garbage
Samples
1.2s2 325×1valid
1.0s5 929×0valid
121.0ms1 018×0exit
1.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-mult: 450.0ms (22.3% of total)
ival-exp: 383.0ms (19% of total)
ival-div: 314.0ms (15.6% of total)
ival-sub: 270.0ms (13.4% of total)
ival-add: 216.0ms (10.7% of total)
adjust: 195.0ms (9.7% of total)
ival-neg: 169.0ms (8.4% of total)
exact: 13.0ms (0.6% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain302.0ms (4.9%)

Memory
-19.2MiB live, 201.8MiB allocated; 15ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
742(1.507007271254205e-40 -1.729683565372343e-16)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)))))
10-1(1.410517485620097e-91 4.7783385897971947e+92)(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-(exp.f64 (neg.f64 (*.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)))))cancellation751
-.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)))))nan-rescue10
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))overflow52
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)overflow31
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))overflow31
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))overflow52
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))overflow31
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))overflow64
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))overflow64
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)overflow31
Confusion
Predicted +Predicted -
+740
-2180
Precision
0.9736842105263158
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7400
-22178
Precision?
0.9487179487179487
Recall?
1.0
Freqs
test
numberfreq
0180
176
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms152×1valid
47.0ms360×0valid
Compiler

Compiled 315 to 61 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-exp: 20.0ms (25.1% of total)
ival-mult: 15.0ms (18.8% of total)
ival-div: 11.0ms (13.8% of total)
adjust: 11.0ms (13.8% of total)
ival-sub: 9.0ms (11.3% of total)
ival-add: 7.0ms (8.8% of total)
ival-neg: 6.0ms (7.5% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess163.0ms (2.6%)

Memory
24.2MiB live, 114.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063182
1211172
2666163
33285162
01929
03429
17229
218927
384627
4506627
0819725
Stop Event
iter limit
node limit
iter limit
node limit
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))
Outputs
(/.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 (fma.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) eps)) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
Symmetry

(abs eps)

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 29 to 19 computations (34.5% saved)

series23.0ms (0.4%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
19 → 123
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (- (* eps x) x))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* x (- 1 eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (* x (exp (neg x)))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (- (* eps x) x)))
#s(approx (* (- 1 eps) x) #s(hole binary64 x))
#s(approx (* (- 1 eps) x) #s(hole binary64 (+ x (* -1 (* eps x)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 x))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps)))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps)))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps)))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
Calls

6 calls:

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

rewrite213.0ms (3.5%)

Memory
-3.2MiB live, 140.6MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05244373
05524217
132894215
088594017
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)
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
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#s(approx (- (* (+ 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)))))
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#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1))
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#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1))
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#s(approx (exp (neg (* (+ 1 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 (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)))))))))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)))
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#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))))
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#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))))
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#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)))))
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#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps x)))
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#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))
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#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
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Outputs
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(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #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 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
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#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))))
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#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))))
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x))
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#s(approx (* (+ 1 eps) x) x)
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#s(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))))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))
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#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64))
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#s(approx (* (- 1 eps) x) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)) eps))
#s(approx (- 1 eps) (neg.f64 eps))
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#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64))
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#s(approx (exp (neg (* (+ 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))
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eval36.0ms (0.6%)

Memory
6.6MiB live, 52.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 10 930 to 1 447 computations (86.8% saved)

prune15.0ms (0.2%)

Memory
-22.4MiB live, 24.4MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2658273
Fresh000
Picked101
Done000
Total2668274
Accuracy
100.0%
Counts
274 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.2%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #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 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))) #s(literal 2 binary64))
36.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
37.0%
(/.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)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
38.5%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #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))
37.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #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))
54.7%
#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)))
98.8%
#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)))
42.8%
#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 704 to 400 computations (43.2% saved)

series151.0ms (2.4%)

Memory
22.3MiB live, 164.6MiB allocated; 20ms collecting garbage
Counts
50 → 387
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)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #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)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #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)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #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)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))
#s(literal -1 binary64)
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #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 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #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 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))))
(-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 eps #s(literal -1 binary64))
#s(literal 3 binary64)
(pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))
(pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(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 (- (* (+ 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 (* (- (/ 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 (+ (* -1 (+ (* x eps) x)) 1) #s(hole binary64 1))
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Calls

6 calls:

TimeVariablePointExpression
39.0ms
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) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ (* -1 (+ (* x eps) x)) 1) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) 3 (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))
28.0ms
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) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ (* -1 (+ (* x eps) x)) 1) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) 3 (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))
16.0ms
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) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ (* -1 (+ (* x eps) x)) 1) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) 3 (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))
15.0ms
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) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ (* -1 (+ (* x eps) x)) 1) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) 3 (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))
13.0ms
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) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ (* -1 (+ (* x eps) x)) 1) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) 3 (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))

rewrite387.0ms (6.3%)

Memory
-41.5MiB live, 313.9MiB allocated; 155ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0217151302
0225750320
0835848757
Stop Event
iter limit
node limit
iter limit
Counts
437 → 487
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)
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#s(approx (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) #s(hole binary64 (+ (* -1 (* (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))) (pow (exp (neg (+ x (* eps x)))) 2)) eps)) (* 2 (pow (exp (neg (+ x (* eps x)))) 2))) eps)) (pow (exp (neg (+ x (* eps x)))) 2)))))
#s(approx (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (pow (exp (neg (+ x (* eps x)))) 2) eps)) (* 2 (pow (exp (neg (+ x (* eps x)))) 2))) eps)) (pow (exp (neg (+ x (* eps x)))) 2))))
#s(approx (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))) #s(hole binary64 (* -1 (* (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))))
#s(approx (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))) #s(hole binary64 (+ (* -1 (* (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))) (/ (* (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))) (pow eps 2)))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (pow.f64 (exp.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 (pow.f64 (exp.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 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(pow.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 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (sinh.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))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(+.f64 (cosh.f64 (neg.f64 (fma.f64 x eps x))) (sinh.f64 (neg.f64 (fma.f64 x eps x))))
(neg.f64 (fma.f64 x eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x eps) (*.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x))))
(fma.f64 x eps x)
(+.f64 (*.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 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))))
(+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))
(pow.f64 eps #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 eps))
(/.f64 #s(literal 1 binary64) eps)
(exp.f64 (*.f64 (log.f64 eps) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(-.f64 (cosh.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (sinh.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(+.f64 (cosh.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (sinh.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 eps) #s(literal -1 binary64)))
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) #s(literal 1 binary64))
#s(literal -1 binary64)
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))))) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) (-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 eps #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 eps))
(/.f64 #s(literal 1 binary64) eps)
(exp.f64 (*.f64 (log.f64 eps) #s(literal -1 binary64)))
#s(literal 3 binary64)
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#s(approx (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)))) eps) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))))
#s(approx (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))))) eps) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64))))) eps) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))))
#s(approx (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))))
#s(approx (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) eps) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
#s(approx (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) eps))) eps) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64))))
#s(approx (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) eps) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64))) eps) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)))) eps) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)))))
#s(approx (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) eps) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)))) eps) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64))))
#s(approx (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))) (*.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))
#s(approx (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (/.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (*.f64 eps eps))))

eval149.0ms (2.4%)

Memory
30.1MiB live, 215.4MiB allocated; 28ms collecting garbage
Compiler

Compiled 106 137 to 4 688 computations (95.6% saved)

prune29.0ms (0.5%)

Memory
-1.5MiB live, 91.9MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New90512917
Fresh123
Picked415
Done000
Total91015925
Accuracy
100.0%
Counts
925 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.2%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))) #s(literal 2 binary64))
21.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
37.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #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))
20.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
26.6%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
42.2%
#s(approx (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))))
54.7%
#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)))
90.0%
#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) x))))) #s(literal 1/2 binary64)))
63.8%
#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 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #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 (*.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)))
87.0%
#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 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
65.0%
#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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
64.5%
#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)))
42.4%
#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))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
42.8%
#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 1 737 to 991 computations (42.9% saved)

series30.0ms (0.5%)

Memory
-1.2MiB live, 51.9MiB allocated; 1ms collecting garbage
Counts
51 → 213
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) 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 #s(approx (+ (* x eps) x) 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 #s(approx (+ (* x eps) x) 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 #s(approx (+ (* x eps) x) x))))
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) x)))
(neg.f64 #s(approx (+ (* x eps) x) x))
#s(approx (+ (* x eps) x) x)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))
#s(literal 2 binary64)
(*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) eps)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 binary64) eps)
#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #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 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #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 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
#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 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x)))
#s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))
(*.f64 eps x)
(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))
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 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(hole binary64 2))
#s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))
#s(approx (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) #s(hole binary64 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 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 (* (- (/ 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 (+ (* -1 (+ (* x eps) x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 -1))
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (* eps x) #s(hole binary64 (* 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 (- (* 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 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(hole binary64 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))
#s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(hole binary64 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* 2 (/ 1 x)))))))
#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 (+ (* x eps) x)) 1) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(hole binary64 (* x (+ (* -1 (+ 1 eps)) (/ 1 x)))))
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* x (- (+ 1 eps) (/ 1 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 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 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(hole binary64 (* -1 (* x (- (* -1 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* 2 (/ 1 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 (- 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 (* (- (/ 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 (+ (* x eps) x)) 1) #s(hole binary64 (* x (- (* -1 eps) 1))))
#s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(hole binary64 (* -1 (* x (- (* -1 (- (* -1 eps) 1)) (/ 1 x))))))
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 eps)) (/ 1 x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (* (- (exp (* (neg x) (- 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))))))))))
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Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
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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)) (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) 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))))) (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))) -1 (+ 1 eps) (* -1 (- 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (+ (* -1 (+ (* x eps) x)) 1) (+ (* x eps) x) (/ (- (* (+ 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 (+ 1 eps)) 1) (* x (+ 1 eps)) (/ (- (* (+ 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)) (* eps x) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)))
4.0ms
eps
@0
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4.0ms
eps
@-inf
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3.0ms
eps
@inf
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rewrite187.0ms (3%)

Memory
-28.6MiB live, 162.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08367294
08896840
154616835
081976635
Stop Event
iter limit
node limit
iter limit
Counts
264 → 451
Calls
Call 1
Inputs
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(neg.f64 x)
x
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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 (- 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 (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (* -1 (- 1 eps)) #s(hole binary64 eps))
#s(approx (* -1 (- 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))))) #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 (* (- (/ 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 (+ (* x eps) x)) 1) #s(hole binary64 (* -1 (* eps x))))
#s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(hole binary64 (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (/ 1 eps))))))
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* eps x)))
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* eps (- (+ x (/ x eps)) (/ 1 eps)))))
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* eps x)))
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -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 (* -1 (- 1 eps)) #s(hole binary64 (* -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 (* -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 (* (- (/ 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 (+ (* -1 (+ (* x eps) x)) 1) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ (+ 1 (* -1 x)) eps)))))))
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- x 1) eps)))))))
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x)))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x))))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x))))))))
(-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x)))))
(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 (pow.f64 (exp.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) (pow.f64 (exp.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) (pow.f64 eps #s(literal 3 binary64))) (+.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 (+ 1 eps)) x))))
(pow.f64 (exp.f64 #s(approx (* x (+ 1 eps)) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* x (+ 1 eps)) x)))
(-.f64 (cosh.f64 #s(approx (* x (+ 1 eps)) x)) (sinh.f64 #s(approx (* x (+ 1 eps)) x)))
(exp.f64 (-.f64 #s(literal 0 binary64) #s(approx (* x (+ 1 eps)) x)))
(exp.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x)))
(+.f64 (cosh.f64 #s(approx (* x (+ 1 eps)) x)) (sinh.f64 (neg.f64 #s(approx (* x (+ 1 eps)) x))))
(neg.f64 #s(approx (* x (+ 1 eps)) x))
#s(approx (* x (+ 1 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 (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x)))))
(fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x))
#s(literal 2 binary64)
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x)
(*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))))
(fma.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) x (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (neg.f64 x) (+.f64 eps #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (fma.f64 x eps x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 x (neg.f64 (+.f64 eps #s(literal 1 binary64))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (pow.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (fma.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))))))
(fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (neg.f64 (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64) (neg.f64 (+.f64 eps #s(literal 1 binary64))))
(-.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64))))
(+.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
#s(literal -1 binary64)
(pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (*.f64 #s(literal 1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 eps) #s(literal 1 binary64)))
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) eps)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal -2 binary64))
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eval69.0ms (1.1%)

Memory
28.8MiB live, 73.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 31 252 to 2 712 computations (91.3% saved)

prune31.0ms (0.5%)

Memory
-6.8MiB live, 38.1MiB allocated; 6ms collecting garbage
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New53312545
Fresh369
Picked415
Done011
Total54020560
Accuracy
100.0%
Counts
560 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.2%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))) #s(literal 2 binary64))
21.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
26.6%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
19.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
5.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) #s(literal 2 binary64))
18.4%
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
42.2%
#s(approx (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))))
54.7%
#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)))
63.8%
#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 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #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 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
87.0%
#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 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
65.0%
#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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
64.5%
#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)))
68.4%
#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))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
53.6%
#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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
55.2%
#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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
47.7%
#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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
48.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
42.3%
#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))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
42.8%
#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 2 384 to 1 389 computations (41.7% saved)

series39.0ms (0.6%)

Memory
-14.4MiB live, 30.0MiB allocated; 6ms collecting garbage
Counts
52 → 250
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.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))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) (*.f64 eps eps))
#s(literal 1 binary64)
(*.f64 eps eps)
eps
(-.f64 #s(literal 1 binary64) eps)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 binary64) eps)
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(-.f64 eps #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(approx (exp (neg (* (+ 1 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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(*.f64 x (-.f64 #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)
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)) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (+ 2 (* x (- x 2)))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(hole binary64 2))
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#s(approx (/ 1 eps) #s(hole binary64 (/ 1 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 (+ 1 (* x (- eps 1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ 1 (* x (- eps 1))) #s(hole binary64 (+ 1 (+ (* -1 x) (* eps x)))))
#s(approx (* x (- eps 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- eps 1)) #s(hole binary64 (+ (* -1 x) (* eps x))))
#s(approx (- eps 1) #s(hole binary64 -1))
#s(approx (- eps 1) #s(hole binary64 (- eps 1)))
#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 (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 (+ 1 (* -1 (* x (- 1 eps)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ 1 (* -1 (* x (- 1 eps)))) #s(hole binary64 (+ 1 (+ (* -1 x) (* eps x)))))
#s(approx (* -1 (* x (- 1 eps))) #s(hole binary64 (* -1 x)))
#s(approx (* -1 (* x (- 1 eps))) #s(hole binary64 (+ (* -1 x) (* eps x))))
#s(approx (* x (- 1 eps)) #s(hole binary64 x))
#s(approx (* x (- 1 eps)) #s(hole binary64 (+ x (* -1 (* eps x)))))
#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 (/ (- (* (+ 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 (* eps eps)) (- 1 eps)) #s(hole binary64 eps))
#s(approx (/ (- 1 (* eps eps)) (- 1 eps)) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (- 1 (* eps eps)) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (- 1 (* eps eps)) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 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)) #s(hole binary64 eps))
#s(approx (* -1 (- 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))))) #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 (+ 1 (* x (- eps 1))) #s(hole binary64 (* eps x)))
#s(approx (+ 1 (* x (- eps 1))) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))))
#s(approx (* x (- eps 1)) #s(hole binary64 (* eps x)))
#s(approx (* x (- eps 1)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 eps))
#s(approx (- eps 1) #s(hole binary64 (* eps (- 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 (* -1 (* x (- 1 eps)))) #s(hole binary64 (* eps x)))
#s(approx (+ 1 (* -1 (* x (- 1 eps)))) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))))
#s(approx (* -1 (* x (- 1 eps))) #s(hole binary64 (* eps x)))
#s(approx (* -1 (* x (- 1 eps))) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* eps (+ (* -1 x) (/ 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 (/ (- (* (+ 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 (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (* -1 (- 1 eps)) #s(hole binary64 (* -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 (* -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 (+ 1 (* x (- eps 1))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))))
#s(approx (* x (- eps 1)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1)))))
#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 (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (+ 1 (* -1 (* x (- 1 eps)))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))))
#s(approx (* -1 (* x (- 1 eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ 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)))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
eps
@-inf
((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (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)) (exp (neg x))) (exp (neg x)) (neg x) 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))))) (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (+ (* -2 x) 2) -2 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))))) (+ 2 (* x (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps))))) (* x (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps)))) (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps))) -1 (/ (- 1 (* eps eps)) (- 1 eps)) (- 1 (* eps eps)) 1 (* eps eps) eps (- 1 eps) (* -1 (- 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 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 (* -1 (* x (- 1 eps)))) (* -1 (* x (- 1 eps))) (* x (- 1 eps)) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) 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)) (exp (neg x))) (exp (neg x)) (neg x) 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))))) (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (+ (* -2 x) 2) -2 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))))) (+ 2 (* x (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps))))) (* x (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps)))) (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps))) -1 (/ (- 1 (* eps eps)) (- 1 eps)) (- 1 (* eps eps)) 1 (* eps eps) eps (- 1 eps) (* -1 (- 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 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 (* -1 (* x (- 1 eps)))) (* -1 (* x (- 1 eps))) (* x (- 1 eps)) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) 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)) (exp (neg x))) (exp (neg x)) (neg x) 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))))) (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (+ (* -2 x) 2) -2 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))))) (+ 2 (* x (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps))))) (* x (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps)))) (+ (* -1 (/ (- 1 (* eps eps)) (- 1 eps))) (* -1 (- 1 eps))) -1 (/ (- 1 (* eps eps)) (- 1 eps)) (- 1 (* eps eps)) 1 (* eps eps) eps (- 1 eps) (* -1 (- 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 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 (* -1 (* x (- 1 eps)))) (* -1 (* x (- 1 eps))) (* x (- 1 eps)) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x))
5.0ms
x
@0
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4.0ms
eps
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rewrite215.0ms (3.5%)

Memory
7.6MiB live, 153.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09218070
09757374
158527374
081207143
Stop Event
iter limit
node limit
iter limit
Counts
302 → 472
Calls
Call 1
Inputs
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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)))))
#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 (/ (- (* (+ 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 (* eps eps)) (- 1 eps)) #s(hole binary64 eps))
#s(approx (/ (- 1 (* eps eps)) (- 1 eps)) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (- 1 (* eps eps)) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (- 1 (* eps eps)) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 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)) #s(hole binary64 eps))
#s(approx (* -1 (- 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))))) #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 (+ 1 (* x (- eps 1))) #s(hole binary64 (* eps x)))
#s(approx (+ 1 (* x (- eps 1))) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))))
#s(approx (* x (- eps 1)) #s(hole binary64 (* eps x)))
#s(approx (* x (- eps 1)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 eps))
#s(approx (- eps 1) #s(hole binary64 (* eps (- 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 (* -1 (* x (- 1 eps)))) #s(hole binary64 (* eps x)))
#s(approx (+ 1 (* -1 (* x (- 1 eps)))) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))))
#s(approx (* -1 (* x (- 1 eps))) #s(hole binary64 (* eps x)))
#s(approx (* -1 (* x (- 1 eps))) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* eps (+ (* -1 x) (/ 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 (/ (- (* (+ 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 (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (* -1 (- 1 eps)) #s(hole binary64 (* -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 (* -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 (+ 1 (* x (- eps 1))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))))
#s(approx (* x (- eps 1)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1)))))
#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 (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (+ 1 (* -1 (* x (- 1 eps)))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))))
#s(approx (* -1 (* x (- 1 eps))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ 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)))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))))
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x)))))
(fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x))
(*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x)
(*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))))
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 (fma.f64 x eps x) #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x))
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) x (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x))
(fma.f64 (neg.f64 x) (+.f64 eps #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (neg.f64 x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x))
(fma.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 x (neg.f64 (+.f64 eps #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x))
(*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))))))
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eval73.0ms (1.2%)

Memory
0.3MiB live, 144.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 31 926 to 2 857 computations (91.1% saved)

prune36.0ms (0.6%)

Memory
-14.7MiB live, 80.6MiB allocated; 2ms collecting garbage
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New51013523
Fresh5813
Picked415
Done022
Total51924543
Accuracy
100.0%
Counts
543 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.2%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))) #s(literal 2 binary64))
26.6%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
20.6%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
5.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) #s(literal 2 binary64))
18.4%
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
42.2%
#s(approx (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))))
54.7%
#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)))
63.8%
#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 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #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 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
87.0%
#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 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
48.1%
#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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.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)))
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))) (+.f64 #s(literal 1 binary64) #s(approx (* -1 (* x (- 1 eps))) (*.f64 x eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
64.5%
#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(approx (+ 1 (* -1 (* x (- 1 eps)))) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
53.6%
#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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 eps)) eps))))) #s(literal 1/2 binary64)))
42.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
56.7%
#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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
47.7%
#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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
68.4%
#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))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
51.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
55.9%
#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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
42.3%
#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))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
2.8%
#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))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
42.8%
#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 4 146 to 1 261 computations (69.6% saved)

regimes45.0ms (0.7%)

Memory
-4.6MiB live, 52.4MiB allocated; 2ms collecting garbage
Counts
46 → 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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)) #s(literal 2 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 (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 #s(approx (exp (* (neg x) (- 1 eps))) #s(approx (+ 1 (* -1 (* 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(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 (+ 1 eps)) 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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) #s(approx (* -1 (* 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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) 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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(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) 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 eps x))) (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 (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))) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 3) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 3)) (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))))) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(approx (+ (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (+ (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (+.f64 (neg.f64 (+.f64 x (*.f64 eps x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #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 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #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 (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:

11.0ms
eps
11.0ms
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)))))
9.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.8%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)))))
98.8%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))
98.8%1x
98.8%1eps
Compiler

Compiled 58 to 40 computations (31% saved)

regimes39.0ms (0.6%)

Memory
-0.8MiB live, 46.0MiB allocated; 1ms collecting garbage
Counts
40 → 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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)) #s(literal 2 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 (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 #s(approx (exp (* (neg x) (- 1 eps))) #s(approx (+ 1 (* -1 (* 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(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 (+ 1 eps)) 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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) #s(approx (* -1 (* 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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) 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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(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) 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 eps x))) (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 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (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) x))))) #s(literal 1/2 binary64)))
Calls

4 calls:

11.0ms
x
10.0ms
eps
8.0ms
(/.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))
8.0ms
(-.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
98.8%2x
98.8%2eps
98.8%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
98.8%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 58 to 40 computations (31% saved)

regimes37.0ms (0.6%)

Memory
43.2MiB live, 43.2MiB allocated; 0ms collecting garbage
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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)) #s(literal 2 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 (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 #s(approx (exp (* (neg x) (- 1 eps))) #s(approx (+ 1 (* -1 (* 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(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 (+ 1 eps)) 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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) #s(approx (* -1 (* 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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) 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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(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) 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 (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) x))))) #s(literal 1/2 binary64)))
Calls

4 calls:

10.0ms
x
10.0ms
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))
7.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
90.0%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)))))
90.0%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))
90.0%1eps
97.8%2x
Compiler

Compiled 58 to 40 computations (31% saved)

regimes37.0ms (0.6%)

Memory
-17.3MiB live, 30.0MiB allocated; 1ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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)) #s(literal 2 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 (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 #s(approx (exp (* (neg x) (- 1 eps))) #s(approx (+ 1 (* -1 (* 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(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 (+ 1 eps)) 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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) #s(approx (* -1 (* 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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) 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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.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 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(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)))
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 (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(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)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Calls

4 calls:

10.0ms
x
9.0ms
eps
7.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
82.2%4eps
77.2%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
77.2%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
87.8%3x
Compiler

Compiled 58 to 40 computations (31% saved)

regimes9.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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)) #s(literal 2 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 (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 #s(approx (exp (* (neg x) (- 1 eps))) #s(approx (+ 1 (* -1 (* x (- 1 eps)))) #s(literal 1 binary64))) (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 (-.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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
84.3%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (0.3%)

Memory
-31.3MiB live, 12.7MiB allocated; 6ms collecting garbage
Counts
24 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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)) #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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Calls

2 calls:

6.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
74.6%2eps
81.5%4x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
23 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) #s(approx (exp (neg 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
81.2%4x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.3%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Counts
22 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(approx (+ (* -1 (+ (* x eps) x)) 1) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
Calls

3 calls:

6.0ms
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
60.7%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)))))
60.7%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))
78.6%4x
Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) (neg.f64 eps))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
76.6%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 eps)) 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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
59.4%2eps
66.0%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes18.0ms (0.3%)

Memory
-37.7MiB live, 11.5MiB allocated; 7ms 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) #s(approx (+ 1 eps) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) 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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 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
55.9%1eps
55.9%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)))))
55.9%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))
58.1%2x
Compiler

Compiled 58 to 40 computations (31% saved)

regimes3.0ms (0%)

Memory
3.6MiB live, 3.6MiB 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) #s(approx (* -1 (- 1 eps)) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
55.9%1x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

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

Total -25.7b remaining (-70.3%)

Threshold costs -25.7b (-70.3%)

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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))) (fma.f64 #s(literal -2 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) #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
42.8%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)))))
42.8%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))
42.8%1eps
42.8%1x
Compiler

Compiled 58 to 40 computations (31% saved)

bsearch36.0ms (0.6%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
1.8505712253061445e-14
1.1702601315438507e-7
Samples
15.0ms47×1valid
10.0ms97×0valid
Compiler

Compiled 941 to 636 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-exp: 5.0ms (23.6% of total)
ival-mult: 4.0ms (18.8% of total)
ival-sub: 3.0ms (14.1% of total)
ival-div: 3.0ms (14.1% of total)
adjust: 3.0ms (14.1% of total)
ival-add: 2.0ms (9.4% of total)
ival-neg: 2.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
7.0ms
-3.2717495700286437e-267
-1.4054924215382154e-276
Samples
4.0ms13×1valid
2.0ms19×0valid
Compiler

Compiled 230 to 160 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (20.5% of total)
ival-div: 1.0ms (20.5% of total)
adjust: 1.0ms (20.5% of total)
ival-mult: 1.0ms (20.5% of total)
ival-exp: 1.0ms (20.5% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch31.0ms (0.5%)

Memory
-29.0MiB live, 15.4MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
28.0ms
1.1655146501948902e+114
7.189649867732143e+116
0.0ms
-3.2717495700286437e-267
-1.4054924215382154e-276
Samples
22.0ms128×0valid
Compiler

Compiled 1 062 to 746 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 10.0ms (53.5% of total)
ival-mult: 3.0ms (16.1% of total)
ival-exp: 2.0ms (10.7% of total)
ival-sub: 2.0ms (10.7% of total)
ival-add: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch59.0ms (1%)

Memory
36.7MiB live, 36.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.1655146501948902e+114
7.189649867732143e+116
35.0ms
1.5657363710398107e-293
1.0832424538994861e-290
Samples
21.0ms57×1valid
20.0ms183×0valid
Compiler

Compiled 1 992 to 1 304 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-exp: 10.0ms (29.4% of total)
ival-mult: 6.0ms (17.6% of total)
ival-sub: 4.0ms (11.8% of total)
ival-div: 4.0ms (11.8% of total)
adjust: 4.0ms (11.8% of total)
ival-add: 3.0ms (8.8% of total)
ival-neg: 2.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch132.0ms (2.1%)

Memory
-47.1MiB live, 152.6MiB allocated; 20ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
1.1655146501948902e+114
7.189649867732143e+116
33.0ms
-1.4054924215382154e-276
-2.2395605891358088e-281
89.0ms
-200303569.15862232
-261623.30533727643
Samples
82.0ms88×1valid
27.0ms168×0valid
Compiler

Compiled 3 200 to 2 088 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-exp: 65.0ms (64.4% of total)
adjust: 10.0ms (9.9% of total)
ival-mult: 9.0ms (8.9% of total)
ival-sub: 5.0ms (5% of total)
ival-div: 5.0ms (5% of total)
ival-neg: 3.0ms (3% of total)
ival-add: 3.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1655146501948902e+114
7.189649867732143e+116
2.0ms
-1.4054924215382154e-276
-2.2395605891358088e-281
2.0ms
-200303569.15862232
-261623.30533727643
Compiler

Compiled 3 032 to 1 976 computations (34.8% saved)

bsearch62.0ms (1%)

Memory
4.5MiB live, 50.7MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1655146501948902e+114
7.189649867732143e+116
2.0ms
-1.4054924215382154e-276
-2.2395605891358088e-281
52.0ms
-1.5090893502205683e+116
-2.404734173613637e+105
Samples
19.0ms140×0exit
17.0ms160×0valid
Compiler

Compiled 3 390 to 2 186 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 7.0ms (25.1% of total)
ival-sub: 7.0ms (25.1% of total)
ival-div: 4.0ms (14.3% of total)
ival-exp: 4.0ms (14.3% of total)
ival-add: 3.0ms (10.7% of total)
ival-neg: 2.0ms (7.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
-1.4054924215382154e-276
-2.2395605891358088e-281
2.0ms
-1.5090893502205683e+116
-2.404734173613637e+105
Compiler

Compiled 2 558 to 1 642 computations (35.8% saved)

bsearch23.0ms (0.4%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
-5.919824250560092e-241
-2.090945762561314e-241
2.0ms
-1.5090893502205683e+116
-2.404734173613637e+105
Samples
9.0ms28×1valid
6.0ms52×0valid
Compiler

Compiled 2 092 to 1 339 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 3.0ms (25.1% of total)
ival-div: 2.0ms (16.7% of total)
adjust: 2.0ms (16.7% of total)
ival-mult: 2.0ms (16.7% of total)
ival-add: 1.0ms (8.4% of total)
ival-sub: 1.0ms (8.4% of total)
ival-neg: 1.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
-200303569.15862232
-261623.30533727643
Compiler

Compiled 1 080 to 680 computations (37% saved)

simplify63.0ms (1%)

Memory
-6.3MiB live, 37.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01541997
12681983
25141912
314991865
Stop Event
node limit
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)))
(if (<=.f64 x #s(literal 8689154328480147/75557863725914323419136 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 eps x))) (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) x))))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) x))))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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))) (if (<=.f64 x #s(literal 64999999999999996636860598849320947832428636564626262462696225941579322924167907892318051945726237651927054210301952 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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 7443573136539277/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 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))) (if (<=.f64 x #s(literal 1219999999999999991641853618161899434950927865273427881796502221960461757698869377858869685704158845871056949870592 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -270000 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)) #s(approx (exp (neg x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -7520964955225875/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 eps)) eps))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 1219999999999999991641853618161899434950927865273427881796502221960461757698869377858869685704158845871056949870592 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal -270000 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)) #s(approx (exp (neg x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -7520964955225875/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 eps)) eps))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 1219999999999999991641853618161899434950927865273427881796502221960461757698869377858869685704158845871056949870592 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -2449999999999999988779060394936765854756858121101453544109771785253352386204925191523924651113973775597568 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -7520964955225875/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 eps)) eps))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 1219999999999999991641853618161899434950927865273427881796502221960461757698869377858869685704158845871056949870592 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -2449999999999999988779060394936765854756858121101453544109771785253352386204925191523924651113973775597568 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -7520964955225875/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -2449999999999999988779060394936765854756858121101453544109771785253352386204925191523924651113973775597568 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -2027029543777269/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) #s(approx (* -1 (- 1 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) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -270000 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 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(literal 1 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (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 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
(if (<=.f64 x #s(literal 8689154328480147/75557863725914323419136 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 eps x))) (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) x))))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 8689154328480147/75557863725914323419136 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 eps x))) (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 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) x)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) x))))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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 (* (- 1 eps) x))) #s(literal 1 binary64)) (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 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) x)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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))) (if (<=.f64 x #s(literal 64999999999999996636860598849320947832428636564626262462696225941579322924167907892318051945726237651927054210301952 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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -7613526571406249/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 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 (* (- 1 eps) x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 64999999999999996636860598849320947832428636564626262462696225941579322924167907892318051945726237651927054210301952 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(approx (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 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 7443573136539277/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 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))) (if (<=.f64 x #s(literal 1219999999999999991641853618161899434950927865273427881796502221960461757698869377858869685704158845871056949870592 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 7443573136539277/702223880805592151456759840151962786569522257399338504974336254522393264865238137237142489540654437582500444843247630303354647534431314931612685275935445798350655833690880801860555545317367555154113605281582053784524026102900245630757473088050106395169337932361665227499793929447186391815763110662594625536 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 (* (- 1 eps) x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 1219999999999999991641853618161899434950927865273427881796502221960461757698869377858869685704158845871056949870592 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 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (- 1 eps) #s(literal 1 binary64))) (+.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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
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derivations330.0ms (5.3%)

Memory
-25.8MiB live, 271.3MiB allocated; 8ms collecting garbage
Stop Event
fuel
Compiler

Compiled 2 000 to 154 computations (92.3% saved)

preprocess65.0ms (1.1%)

Memory
19.4MiB live, 63.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 466 to 530 computations (88.1% saved)

end0.0ms (0%)

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

Profiling

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