NMSE Section 6.1 mentioned, A

Time bar (total: 16.1s)

analyze32.0ms (0.2%)

Memory
-16.0MiB live, 78.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.7s (16.5%)

Memory
6.7MiB live, 4 260.2MiB allocated
Samples
1.2s5 938×0valid
835.0ms2 318×1valid
123.0ms968×0exit
3.0ms23×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-exp: 375.0ms (24.5% of total)
ival-mult: 293.0ms (19.2% of total)
ival-div: 248.0ms (16.2% of total)
ival-add: 200.0ms (13.1% of total)
ival-sub: 175.0ms (11.5% of total)
ival-neg: 150.0ms (9.8% of total)
adjust: 64.0ms (4.2% of total)
exact: 11.0ms (0.7% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess411.0ms (2.6%)

Memory
38.4MiB live, 631.3MiB allocated
Algorithm
egg-herbie
Rules
11 102×accelerator-lowering-fma.f32
11 102×accelerator-lowering-fma.f64
2 706×*-lowering-*.f32
2 706×*-lowering-*.f64
1 598×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063181
1197166
2600162
31975162
44911160
01929
15529
215427
349527
4111227
5332625
6758525
0812123
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
Outputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
Call 2
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2))
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2))
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2)
Outputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) 1/2)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)
(/ (* (exp x) (+ (/ (+ 1 (/ 1 eps)) (pow (exp eps) x)) (* (pow (exp eps) x) (+ 1 (/ -1 eps))))) 2)
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) 1/2)
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2))
(* (* (exp x) (+ (/ (+ 1 (/ 1 eps)) (pow (exp eps) x)) (* (pow (exp eps) x) (+ 1 (/ -1 eps))))) -1/2)
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2))
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) -1/2)
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2)
(/ (+ (* (+ 1 (/ 1 x)) (pow (exp eps) (+ x -1))) (* (pow (exp eps) (- -1 x)) (+ 1 (/ -1 x)))) 2)
Symmetry

(abs eps)

explain362.0ms (2.2%)

Memory
-6.0MiB live, 693.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
661(9.284378075815733e-22 4.3053766618281826e-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)))))
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-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
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)))))cancellation670
Confusion
Predicted +Predicted -
+660
-1189
Precision
0.9850746268656716
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-10189
Precision?
0.9850746268656716
Recall?
1.0
Freqs
test
numberfreq
0189
167
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms378×0valid
50.0ms134×1valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 18.0ms (25.9% of total)
ival-mult: 14.0ms (20.2% of total)
ival-sub: 11.0ms (15.8% of total)
ival-div: 9.0ms (13% of total)
ival-neg: 6.0ms (8.6% of total)
ival-add: 6.0ms (8.6% of total)
adjust: 3.0ms (4.3% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.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))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify383.0ms (2.4%)

Memory
7.8MiB live, 759.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.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)))))
cost-diff64
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
cost-diff64
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff128
(/.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))
Rules
11 102×accelerator-lowering-fma.f32
11 102×accelerator-lowering-fma.f64
2 706×*-lowering-*.f32
2 706×*-lowering-*.f64
1 598×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019141
155141
2154131
3495131
41112131
53326129
67585129
08121123
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (* (+ 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
Outputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp (neg (* (- 1 eps) x)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(neg (* (- 1 eps) x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* (- 1 eps) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
x
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(exp (neg (* (+ 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg (* (+ 1 eps) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* (+ 1 eps) x)
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
2
#s(literal 2 binary64)

localize87.0ms (0.5%)

Memory
3.9MiB live, 235.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy75.0%
(-.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)))))
Samples
29.0ms189×0valid
25.0ms67×1valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 10.0ms (26.1% of total)
ival-sub: 7.0ms (18.3% of total)
ival-mult: 7.0ms (18.3% of total)
ival-div: 6.0ms (15.7% of total)
ival-neg: 3.0ms (7.8% of total)
ival-add: 3.0ms (7.8% of total)
adjust: 2.0ms (5.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.1%)

Memory
19.9MiB live, 59.0MiB allocated
Counts
7 → 168
Calls
Call 1
Inputs
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)>
#<alt (neg (* (- 1 eps) x))>
#<alt (neg (* (+ 1 eps) x))>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))>
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))>
#<alt (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))>
#<alt (* (- 1 eps) x)>
Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (+ (* 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))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -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)))))))))>
#<alt (+ (* -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)))))))))>
#<alt (+ (* -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)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 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))))))))>
#<alt (+ 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))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (* -1 (* eps x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (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))))))>
#<alt (- (+ (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))))))>
#<alt (- (+ (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))))))>
#<alt (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (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)))))))>
#<alt (- (+ (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)))))))>
#<alt (- (+ (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)))))))>
#<alt 2>
#<alt (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)>
#<alt (/ (+ (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)>
#<alt (/ (+ (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)>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (+ 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)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (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)>
#<alt (/ (+ (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)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* 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)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt x>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms
x
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms
eps
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
1.0ms
eps
@-inf
(neg (* (- 1 eps) x))
1.0ms
x
@inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)

rewrite485.0ms (3%)

Memory
-14.4MiB live, 868.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 830×accelerator-lowering-fma.f32
4 830×accelerator-lowering-fma.f64
3 930×/-lowering-/.f32
3 930×/-lowering-/.f64
3 926×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01999
111693
291791
0891084
Stop Event
iter limit
node limit
Counts
7 → 572
Calls
Call 1
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(neg (* (- 1 eps) x))
(neg (* (+ 1 eps) x))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
(* (- 1 eps) x)
Outputs
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.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 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal -2 binary64)))
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(+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps)) x)
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) eps) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) eps) x))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) x)
(fma.f64 (-.f64 #s(literal 0 binary64) eps) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal -1 binary64) eps))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x) (+.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps)) (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) eps))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x) (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) eps) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal 0 binary64))))
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(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))

simplify556.0ms (3.4%)

Memory
4.1MiB live, 917.3MiB allocated
Algorithm
egg-herbie
Rules
16 358×accelerator-lowering-fma.f32
16 358×accelerator-lowering-fma.f64
4 510×+-lowering-+.f64
4 510×+-lowering-+.f32
4 378×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03083281
19952951
234392625
083912501
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
(+ (* 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))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 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)))
(+ (* 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)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
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1
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(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
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(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
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(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (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)
(/ (+ (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)
(exp (neg (* x (- 1 eps))))
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(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
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(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (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)
(/ (+ (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)
(* -1 (exp (neg (* x (+ 1 eps)))))
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(- (/ 1 eps) 1)
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
x
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
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(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
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(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
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(* x (- 1 eps))
(* x (- 1 eps))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
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(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))

eval102.0ms (0.6%)

Memory
32.1MiB live, 260.7MiB allocated
Compiler

Compiled 36 826 to 2 884 computations (92.2% saved)

prune105.0ms (0.7%)

Memory
-55.1MiB live, 271.6MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New73010740
Fresh000
Picked101
Done000
Total73110741
Accuracy
100.0%
Counts
741 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
32.3%
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
40.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
38.3%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
39.7%
(/.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 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
98.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
45.6%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
75.5%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
56.8%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 2 binary64))
43.0%
#s(literal 1 binary64)
Compiler

Compiled 718 to 374 computations (47.9% saved)

simplify533.0ms (3.3%)

Memory
29.7MiB live, 854.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
cost-diff0
(-.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 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
cost-diff0
(/.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 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
cost-diff64
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
cost-diff0
(-.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
cost-diff0
(/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
cost-diff64
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff128
(+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
cost-diff128
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
cost-diff128
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
cost-diff512
(+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
cost-diff0
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
cost-diff0
(+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff0
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
Rules
16 262×accelerator-lowering-fma.f32
16 262×accelerator-lowering-fma.f64
3 670×*-lowering-*.f32
3 670×*-lowering-*.f64
2 860×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0541140
11831140
27821068
34728947
08201891
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))) 2)
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))
(exp (* x (+ -1 eps)))
(* x (+ -1 eps))
x
(+ -1 eps)
-1
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
2
1
(/ (+ 2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))))))) 2)
(+ 2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))))))
2
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))))))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))))
(* (+ eps 1) (+ -1 (/ 1 eps)))
(+ eps 1)
eps
1
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))))
(* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps)))))
(+ 1 (/ 1 eps))
(+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))
(+ -1 eps)
(* (* 1/2 x) (* (- 1 eps) (- 1 eps)))
(* 1/2 x)
1/2
(* (- 1 eps) (- 1 eps))
(- 1 eps)
(* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))
(+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))
(* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))))))
(* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))
1/6
(+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))))
(* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps))))
(* (+ -1 eps) (* (- 1 eps) (- 1 eps)))
(* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))
(* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))
(* (+ eps 1) (+ eps 1))
(* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))
(* -1/2 (* (+ eps 1) (+ eps 1)))
-1/2
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))
(* (+ 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 (/ 1 eps))
-1
2
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps))))
(* (+ 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
(* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))
(+ (* x (- -1 eps)) 1)
(* x (- -1 eps))
(- -1 eps)
-1
(+ -1 (/ 1 eps))
2
Outputs
(/ (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(exp (* x (+ -1 eps)))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(* x (+ -1 eps))
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
x
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ (+ 2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))))))) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps))))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) eps)) x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
(+ 2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps))))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) eps)) x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal -1/2 binary64)))))))))
2
#s(literal 2 binary64)
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))))))
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps))))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) eps)) x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal -1/2 binary64))))))))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps))))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) eps)) x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal -1/2 binary64)))))))
(* (+ eps 1) (+ -1 (/ 1 eps)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
eps
1
#s(literal 1 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
-1
#s(literal -1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) eps)) x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal -1/2 binary64))))))
(* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps))))))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)))))
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
(* (* 1/2 x) (* (- 1 eps) (- 1 eps)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (- 1 eps) (- 1 eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
(* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) eps)) x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal -1/2 binary64)))))
(+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) eps)) x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal -1/2 binary64))))
(* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
(* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
1/6
#s(literal 1/6 binary64)
(+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 0 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))
(* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 0 binary64) eps)))
(* (+ -1 eps) (* (- 1 eps) (- 1 eps)))
(*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) eps)))
(* (+ eps 1) (+ eps 1))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* -1/2 (* (+ eps 1) (+ eps 1)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))
-1/2
#s(literal -1/2 binary64)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp (neg (* (- 1 eps) x)))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(neg (* (- 1 eps) x))
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
(* (- 1 eps) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
x
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp (neg (* (- 1 eps) x)))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(neg (* (- 1 eps) x))
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
(* (- 1 eps) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
x
(* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64)))))
(+ (* x (- -1 eps)) 1)
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64))))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
2
#s(literal 2 binary64)

localize431.0ms (2.7%)

Memory
-20.9MiB live, 577.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy99.9%
(*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
accuracy75.6%
(-.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 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
accuracy100.0%
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy76.3%
(-.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
accuracy93.2%
(*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
accuracy93.1%
(*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
accuracy58.4%
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
accuracy38.4%
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
Samples
182.0ms132×1valid
44.0ms84×1exit
39.0ms31×2valid
3.0ms0valid
Compiler

Compiled 1 146 to 56 computations (95.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-mult: 65.0ms (33.4% of total)
adjust: 38.0ms (19.6% of total)
ival-add: 24.0ms (12.3% of total)
ival-sub: 21.0ms (10.8% of total)
const: 15.0ms (7.7% of total)
ival-div: 14.0ms (7.2% of total)
ival-exp: 12.0ms (6.2% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.5%)

Memory
8.1MiB live, 80.0MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#<alt (/ (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))) 2)>
#<alt (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))>
#<alt (exp (* x (+ -1 eps)))>
#<alt (* x (+ -1 eps))>
#<alt (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))))>
#<alt (* (+ eps 1) (+ -1 (/ 1 eps)))>
#<alt (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))>
#<alt (neg (* (- 1 eps) x))>
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))>
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))>
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps))))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))))>
#<alt (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))))))>
#<alt (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))>
#<alt (* (- 1 eps) x)>
#<alt (exp (neg (* (- 1 eps) x)))>
#<alt (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (* 2 (exp (* -1 x)))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (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))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))>
#<alt (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (+ (* -1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)))))>
#<alt (* -1 (* x (+ (* -1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)))))>
#<alt (* -1 (* x (+ (* -1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)))))>
#<alt (/ -1/2 eps)>
#<alt (/ (- (* eps (- (* 2/3 x) 1/2)) 1/2) eps)>
#<alt (/ (- (* eps (- (+ (* 1/2 eps) (* 2/3 x)) 1/2)) 1/2) eps)>
#<alt (/ (- (* eps (- (+ (* 2/3 x) (* eps (+ 1/2 (* eps (+ 1/2 (* -2/3 x)))))) 1/2)) 1/2) eps)>
#<alt (* (pow eps 2) (+ 1/2 (* -2/3 x)))>
#<alt (* (pow eps 2) (+ 1/2 (+ (* -2/3 x) (* 1/2 (/ 1 eps)))))>
#<alt (* (pow eps 2) (- (+ 1/2 (+ (* -2/3 x) (+ (* 2/3 (/ x (pow eps 2))) (* 1/2 (/ 1 eps))))) (/ 1/2 (pow eps 2))))>
#<alt (* (pow eps 2) (- (+ 1/2 (+ (* -2/3 x) (+ (* 2/3 (/ x (pow eps 2))) (* 1/2 (/ 1 eps))))) (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 (pow eps 3))))))>
#<alt (* (pow eps 2) (+ 1/2 (* -2/3 x)))>
#<alt (* (pow eps 2) (+ 1/2 (+ (* -2/3 x) (* 1/2 (/ 1 eps)))))>
#<alt (* (pow eps 2) (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (* 2/3 x) 1/2) eps)) 1/2) eps)) (* -2/3 x))))>
#<alt (* (pow eps 2) (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (* 2/3 x) (+ 1/2 (* 1/2 (/ 1 eps)))) eps)) 1/2) eps)) (* -2/3 x))))>
#<alt (/ (+ (* -1/2 x) (* 1/2 x)) eps)>
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))))) eps)>
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* 1/2 x) (+ (* eps (+ x (* -1 x))) (* x (- (* 2/3 x) 1/2)))))))) eps)>
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* 1/2 x) (+ (* eps (+ x (+ (* -1 x) (* eps (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))))) (* x (- (* 2/3 x) 1/2)))))))) eps)>
#<alt (* (pow eps 2) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* x (+ 1/2 (* -2/3 x))) (/ x eps)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (+ (* x (+ 1/2 (* -2/3 x))) (+ (/ x eps) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2)))))))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (+ (* x (+ 1/2 (* -2/3 x))) (+ (/ x eps) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2)))))))))))>
#<alt (* (pow eps 2) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 x)) eps)) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) 1) eps)))) eps)) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) 1) eps)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))) 1) eps)))) eps)) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* 1/6 (* (pow x 2) (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (+ (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (+ (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (+ (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) (pow x 2)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (+ (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (+ (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) (pow x 2)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) (pow x 2)))))))>
#<alt (* 1/6 (* (pow x 2) (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))>
#<alt (- eps 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* 1/2 (/ (- (exp (neg x)) 1) eps))>
#<alt (/ (+ (* 1/2 (* eps (+ 1 (+ (exp (neg x)) (* x (exp (neg x))))))) (* 1/2 (- (exp (neg x)) 1))) eps)>
#<alt (/ (+ (* 1/2 (- (exp (neg x)) 1)) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))))) (* 1/2 (+ 1 (+ (exp (neg x)) (* x (exp (neg x))))))))) eps)>
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#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))))>
#<alt (* 1/6 (* (pow x 2) (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* 1/6 (* (pow x 2) (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))>
#<alt (* -1/2 (/ x eps))>
#<alt (/ (+ (* -1/2 x) (* eps (* x (- (* 2/3 x) 1/2)))) eps)>
#<alt (/ (+ (* -1/2 x) (* eps (+ (* 1/2 (* eps x)) (* x (- (* 2/3 x) 1/2))))) eps)>
#<alt (/ (+ (* -1/2 x) (* eps (+ (* eps (+ (* 1/2 x) (* eps (* x (+ 1/2 (* -2/3 x)))))) (* x (- (* 2/3 x) 1/2))))) eps)>
#<alt (* (pow eps 2) (* x (+ 1/2 (* -2/3 x))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ x eps)) (* x (+ 1/2 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ x eps)) (+ (* x (+ 1/2 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x eps)) (+ (* x (+ 1/2 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2))))))>
#<alt (* (pow eps 2) (* x (+ 1/2 (* -2/3 x))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ x eps)) (* x (+ 1/2 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 2/3 x) 1/2)) eps)) (* -1/2 x)) eps)) (* x (+ 1/2 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ x eps)) (* x (- (* 2/3 x) 1/2))) eps)) (* -1/2 x)) eps)) (* x (+ 1/2 (* -2/3 x)))))>
#<alt x>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (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))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))>
#<alt (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))>
#<alt (/ (+ 1 (* -1 x)) eps)>
#<alt (/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))) eps)>
#<alt (/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (* eps x)))))) eps)>
#<alt (/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (* eps x)))))) eps)>
#<alt (* eps x)>
#<alt (* eps (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps)))))>
#<alt (* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2)))))))>
#<alt (* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2)))))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (+ 1 (* -1 x)))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x eps)) (/ 1 eps)))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x eps)) (/ 1 eps)))) eps)))))>
Calls

126 calls:

TimeVariablePointExpression
11.0ms
eps
@inf
(+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))
5.0ms
x
@0
(exp (* x (- -1 eps)))
3.0ms
x
@-inf
(* x (+ -1 eps))
2.0ms
x
@0
(+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))
1.0ms
eps
@0
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))))

rewrite631.0ms (3.9%)

Memory
40.9MiB live, 664.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 464×*-lowering-*.f32
4 464×*-lowering-*.f64
4 064×accelerator-lowering-fma.f32
4 064×accelerator-lowering-fma.f64
3 092×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051457
1353452
23946412
08283393
Stop Event
iter limit
node limit
Counts
22 → 637
Calls
Call 1
Inputs
(/ (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))) 2)
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))
(exp (* x (+ -1 eps)))
(* x (+ -1 eps))
(+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1)))))
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))) (* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))))
(* (+ eps 1) (+ -1 (/ 1 eps)))
(+ (+ -1 eps) (* (* 1/2 x) (* (- 1 eps) (- 1 eps))))
(neg (* (- 1 eps) x))
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps))))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))))
(* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1)))))))
(* x (+ (* x (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (+ -1 eps) (* (- 1 eps) (- 1 eps)))) (* (+ eps 1) (* (+ -1 (/ 1 eps)) (* (+ eps 1) (+ eps 1))))))) (* (+ -1 (/ 1 eps)) (* -1/2 (* (+ eps 1) (+ eps 1))))))
(* (- 1 eps) x)
(exp (neg (* (- 1 eps) x)))
(* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
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(fma.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps))
(fma.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (-.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps))
(fma.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (+.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 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (+.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 eps (*.f64 eps eps)))) (+.f64 (*.f64 (+.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 (*.f64 (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps) (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps)))))
(/.f64 (-.f64 (*.f64 (+.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 (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps) (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps))) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) eps)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))

simplify670.0ms (4.2%)

Memory
-50.1MiB live, 937.8MiB allocated
Algorithm
egg-herbie
Rules
13 502×accelerator-lowering-fma.f32
13 502×accelerator-lowering-fma.f64
7 016×+-lowering-+.f64
7 016×+-lowering-+.f32
5 094×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08489260
129548552
088058040
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(* 2 (exp (* -1 x)))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (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))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))
(+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
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(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
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1
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2
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1
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(/ (- (exp (neg x)) (+ 1 (* -1 x))) eps)
(/ (- (+ (exp (neg x)) (* eps (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))) (+ 1 (* -1 x))) eps)
(/ (- (+ (exp (neg x)) (* eps (- (+ (exp (neg x)) (+ (* eps (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) x)) (* x (exp (neg x))))) (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))) (+ 1 (* -1 x))) eps)
(/ (- (+ (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)) (* x (exp (neg x))))) (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))) (+ 1 (* -1 x))) eps)
(* -1 (* eps x))
(* eps (- (/ (exp (neg (* x (- 1 eps)))) eps) (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps))))))
(* eps (- (+ (/ (exp (neg (* x (- 1 eps)))) eps) (/ (exp (neg (* x (- 1 eps)))) (pow eps 2))) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2))))))))
(* eps (- (+ (/ (exp (neg (* x (- 1 eps)))) eps) (/ (exp (neg (* x (- 1 eps)))) (pow eps 2))) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2))))))))
(* -1 (* eps x))
(* -1 (* eps (- (* -1 (/ (- (exp (neg (* x (+ 1 (* -1 eps))))) (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)) (* -1 x))))
(* -1 (* eps (- (* -1 (/ (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (+ 1 (* -1 x)))) eps))) (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)) (* -1 x))))
(* -1 (* eps (- (* -1 (/ (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (+ 1 (* -1 x)))) eps))) (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)) (* -1 x))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* 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 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(* x (* (+ 1 eps) (- (/ 1 eps) 1)))
(* x (- (+ (/ 1 x) (/ (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) x)) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x)))))
(* x (- (+ (/ 1 x) (/ (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) x)) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x)))))
(* x (- (+ (/ 1 x) (/ (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) x)) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x)))))
(* x (* (+ 1 eps) (- (/ 1 eps) 1)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps)) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps)) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps)) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
4
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* 2/3 x)
(+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))
(+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))
(+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))
(* -2/3 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* -2/3 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/6 (* x (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))))
(* 1/6 (* (pow x 2) (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(* 1/6 (* (pow x 2) (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)) x)) (* 1/6 (+ (* (+ 1 (/ 1 eps)) (* (pow (- 1 eps) 2) (- eps 1))) (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))
(* -1/2 (/ x eps))
(/ (+ (* -1/2 x) (* eps (* x (- (* 2/3 x) 1/2)))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* 1/2 (* eps x)) (* x (- (* 2/3 x) 1/2))))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* eps (+ (* 1/2 x) (* eps (* x (+ 1/2 (* -2/3 x)))))) (* x (- (* 2/3 x) 1/2))))) eps)
(* (pow eps 2) (* x (+ 1/2 (* -2/3 x))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (+ (* x (+ 1/2 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x eps)) (+ (* x (+ 1/2 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2))))))
(* (pow eps 2) (* x (+ 1/2 (* -2/3 x))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 2/3 x) 1/2)) eps)) (* -1/2 x)) eps)) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ x eps)) (* x (- (* 2/3 x) 1/2))) eps)) (* -1/2 x)) eps)) (* x (+ 1/2 (* -2/3 x)))))
x
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 (* eps x))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (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))))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(/ (+ 1 (* -1 x)) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (* eps x)))))) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (* eps x)))))) eps)
(* eps x)
(* eps (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps)))))
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2)))))))
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2)))))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (+ 1 (* -1 x)))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x eps)) (/ 1 eps)))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x eps)) (/ 1 eps)))) eps)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+.f64 (*.f64 eps #s(literal 0 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
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(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(* x (- 1 eps))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (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))))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (*.f64 x (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 eps #s(literal -1 binary64)))))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))
(exp (- (* eps x) x))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (- (* eps x) x))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (- (* eps x) x))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (- (* eps x) x))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(*.f64 x (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) x)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(*.f64 x (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) x)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(*.f64 x (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) x)))
(* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) x)))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) x)))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) x)))
(/ (+ 1 (* -1 x)) eps)
(/.f64 (-.f64 #s(literal 1 binary64) x) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) eps) x)) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (* eps x)))))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 x eps))) x)) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (* eps x)))))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 x eps))) x)) eps)
(* eps x)
(*.f64 x eps)
(* eps (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps)))))
(*.f64 eps (+.f64 (-.f64 x (/.f64 x eps)) (/.f64 (+.f64 x #s(literal -1 binary64)) eps)))
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2)))))))
(*.f64 eps (+.f64 (-.f64 x (/.f64 x eps)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (+.f64 x #s(literal -1 binary64)) eps)) (/.f64 x (*.f64 eps eps)))))
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2)))))))
(*.f64 eps (+.f64 (-.f64 x (/.f64 x eps)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (+.f64 x #s(literal -1 binary64)) eps)) (/.f64 x (*.f64 eps eps)))))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (+ 1 (* -1 x)))) eps)))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) x)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x eps)) (/ 1 eps)))) eps)))))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 x eps))) eps)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x eps)) (/ 1 eps)))) eps)))))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 x eps))) eps)))

eval505.0ms (3.1%)

Memory
2.5MiB live, 400.6MiB allocated
Compiler

Compiled 72 459 to 4 729 computations (93.5% saved)

prune609.0ms (3.8%)

Memory
-21.3MiB live, 349.0MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1 369201 389
Fresh235
Picked415
Done000
Total1 375241 399
Accuracy
100.0%
Counts
1 399 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
32.3%
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
31.4%
(/.f64 (-.f64 (+.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))
24.4%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
33.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
63.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
62.2%
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))
84.8%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
58.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
52.2%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
66.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) eps)))))) #s(literal 2 binary64))
58.2%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
75.1%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
64.1%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
64.1%
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
9.6%
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
56.8%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 2 binary64))
35.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
67.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
61.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
69.4%
(*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) eps)))
9.4%
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
69.3%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
43.0%
#s(literal 1 binary64)
Compiler

Compiled 1 297 to 785 computations (39.5% saved)

simplify605.0ms (3.8%)

Memory
39.8MiB live, 631.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
cost-diff0
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
cost-diff256
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 2 binary64))
cost-diff128
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
cost-diff128
(+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))
cost-diff256
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
cost-diff1152
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) eps)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff0
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
cost-diff640
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(*.f64 x eps)
cost-diff0
(exp.f64 (*.f64 x eps))
cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff0
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
Rules
20 116×accelerator-lowering-fma.f32
20 116×accelerator-lowering-fma.f64
3 674×*-lowering-*.f32
3 674×*-lowering-*.f64
2 362×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045454
1141450
2577406
32976406
45509292
08314283
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (exp (* x eps)) (exp (* x (- -1 eps)))) 2)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
x
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
2
(* eps (* x -1/2))
eps
(* x -1/2)
x
-1/2
(/ (- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)
(- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps))))
(+ 1 (/ 1 eps))
1
(/ 1 eps)
eps
(* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))
(+ (* x (- -1 eps)) 1)
(* x (- -1 eps))
x
(- -1 eps)
-1
(+ -1 (/ 1 eps))
2
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))))))
1
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1)))))
x
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1)))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(+ eps -1)
-1
(* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))
(+ 1/2 (* 1/2 eps))
(* 1/2 eps)
(+ (/ 1 eps) -1)
(/ 1 eps)
(* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1)))
1/4
(* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))
(* (* x (+ eps -1)) (+ 1 (/ 1 eps)))
(* x (+ eps -1))
(+ 1 (/ 1 eps))
(/ (* 2 (/ (+ x 1) (exp x))) 2)
(* 2 (/ (+ x 1) (exp x)))
2
(/ (+ x 1) (exp x))
(+ x 1)
x
1
(exp x)
Outputs
(/ (+ (exp (* x eps)) (exp (* x (- -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(* eps (* x -1/2))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
eps
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(/ (- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) #s(literal 2 binary64)))
(- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps))))
(-.f64 #s(literal 2 binary64) (-.f64 (*.f64 x eps) (/.f64 x eps)))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
eps
(* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (* x (- -1 eps)) 1)
(+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
2
#s(literal 2 binary64)
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x eps) (/.f64 x eps)))))
1
#s(literal 1 binary64)
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1)))))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x eps) (/.f64 x eps))))
x
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x eps) (/.f64 x eps))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1)))
#s(literal 0 binary64)
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1/2 (* 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal 1/2 binary64)))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(+ (/ 1 eps) -1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x eps) (/.f64 x eps))))
1/4
#s(literal 1/4 binary64)
(* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 (*.f64 x eps) (/.f64 x eps)))
(* (* x (+ eps -1)) (+ 1 (/ 1 eps)))
(-.f64 (*.f64 x eps) (/.f64 x eps))
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/ (* 2 (/ (+ x 1) (exp x))) 2)
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* 2 (/ (+ x 1) (exp x)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (exp.f64 x))
2
#s(literal 2 binary64)
(/ (+ x 1) (exp x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(exp x)
(exp.f64 x)

localize384.0ms (2.4%)

Memory
9.6MiB live, 361.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
accuracy99.9%
(*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))
accuracy99.8%
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
accuracy96.9%
(*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))))
accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
accuracy99.9%
(*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
accuracy76.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(exp.f64 (*.f64 x eps))
accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Samples
179.0ms133×2valid
69.0ms88×1valid
10.0ms35×0exit
Compiler

Compiled 430 to 47 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-mult: 78.0ms (37% of total)
ival-add: 67.0ms (31.8% of total)
ival-div: 22.0ms (10.4% of total)
adjust: 19.0ms (9% of total)
ival-sub: 13.0ms (6.2% of total)
ival-exp: 10.0ms (4.7% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.3%)

Memory
6.2MiB live, 43.9MiB allocated
Counts
26 → 492
Calls
Call 1
Inputs
#<alt (/ (+ (exp (* x eps)) (exp (* x (- -1 eps)))) 2)>
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))>
#<alt (exp (* x eps))>
#<alt (* x eps)>
#<alt (* eps (* x -1/2))>
#<alt (* x -1/2)>
#<alt (- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps))))>
#<alt (/ (- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)>
#<alt (+ 1 (/ 1 eps))>
#<alt (/ 1 eps)>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1)))>
#<alt (* (* x (+ eps -1)) (+ 1 (/ 1 eps)))>
#<alt (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))))>
#<alt (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))>
#<alt (/ (* 2 (/ (+ x 1) (exp x))) 2)>
#<alt (* 2 (/ (+ x 1) (exp x)))>
#<alt (/ (+ x 1) (exp x))>
#<alt (+ x 1)>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))>
#<alt (+ -1 (/ 1 eps))>
#<alt (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1)))))>
#<alt (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))>
#<alt (* x (+ eps -1))>
#<alt (exp x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
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#<alt (/ (+ (* -1/4 (* eps (pow x 2))) (* 1/4 (pow x 2))) eps)>
#<alt (/ (+ (* 1/4 (pow x 2)) (* eps (+ (* -1/4 (* eps (pow x 2))) (* -1/4 (pow x 2))))) eps)>
#<alt (/ (+ (* 1/4 (pow x 2)) (* eps (+ (* -1/4 (pow x 2)) (* eps (+ (* -1/4 (pow x 2)) (* 1/4 (* eps (pow x 2)))))))) eps)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) eps)) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) eps)) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (/ (pow x 2) (pow eps 3))) (* 1/4 (pow x 2))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (/ (pow x 2) eps))) eps)) (* 1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))>
#<alt (/ x eps)>
#<alt (/ (+ x (* -1 (* eps x))) eps)>
#<alt (/ (+ x (* eps (+ (* -1 x) (* -1 (* eps x))))) eps)>
#<alt (/ (+ x (* eps (+ (* -1 x) (* eps (+ (* -1 x) (* eps x)))))) eps)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (* -1 (/ x (pow eps 2))))))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (/ x (pow eps 3))))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ x (/ x eps)) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (/ x eps)) eps))) eps))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
Calls

123 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(/ (- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)
2.0ms
eps
@0
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1)))
2.0ms
eps
@-inf
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1)))
1.0ms
x
@0
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))))
1.0ms
x
@-inf
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1)))))

rewrite455.0ms (2.8%)

Memory
-10.5MiB live, 479.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 148×/-lowering-/.f32
4 148×/-lowering-/.f64
3 242×*-lowering-*.f32
3 242×*-lowering-*.f64
2 256×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044292
1314284
23303284
08242271
Stop Event
iter limit
node limit
Counts
26 → 852
Calls
Call 1
Inputs
(/ (+ (exp (* x eps)) (exp (* x (- -1 eps)))) 2)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
(* eps (* x -1/2))
(* x -1/2)
(- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps))))
(/ (- (+ 1 (/ 1 eps)) (* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))) 2)
(+ 1 (/ 1 eps))
(/ 1 eps)
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1)))
(* (* x (+ eps -1)) (+ 1 (/ 1 eps)))
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))))
(* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))
(/ (* 2 (/ (+ x 1) (exp x))) 2)
(* 2 (/ (+ x 1) (exp x)))
(/ (+ x 1) (exp x))
(+ x 1)
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(* (+ (* x (- -1 eps)) 1) (+ -1 (/ 1 eps)))
(+ -1 (/ 1 eps))
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1/2 (* 1/2 eps)) (+ (/ 1 eps) -1))) (* 1/4 (* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1)))))
(* (* (* x (+ eps -1)) (+ 1 (/ 1 eps))) (+ eps -1))
(* x (+ eps -1))
(exp x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) (/.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
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(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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(fma.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) eps (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64) (*.f64 eps (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 (*.f64 eps (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (*.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 eps (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))))
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(/.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
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(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 eps (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))))) (neg.f64 (-.f64 (*.f64 eps (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))))
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(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 (*.f64 eps eps) #s(literal -1 binary64)))) (neg.f64 (+.f64 eps #s(literal 1 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))) (neg.f64 (+.f64 eps #s(literal 1 binary64))))
(*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x eps))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 x eps) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x eps) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x eps) (neg.f64 x))))
(fma.f64 x eps (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x eps))
(fma.f64 x (log.f64 (exp.f64 eps)) (neg.f64 x))
(fma.f64 eps x (neg.f64 x))
(fma.f64 (*.f64 x eps) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 x eps))
(fma.f64 #s(literal 1 binary64) (*.f64 x eps) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 x eps))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x) (+.f64 eps #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x eps) (neg.f64 x))))
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(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64)))) (neg.f64 (+.f64 eps #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x)) (neg.f64 (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 eps #s(literal 1 binary64))))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) x)
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))) x)
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)

simplify733.0ms (4.5%)

Memory
-23.8MiB live, 1 008.2MiB allocated
Algorithm
egg-herbie
Rules
12 060×accelerator-lowering-fma.f32
12 060×accelerator-lowering-fma.f64
5 592×*-lowering-*.f32
5 592×*-lowering-*.f64
3 372×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05415357
118054998
256654919
081844631
Stop Event
iter limit
node limit
Counts
492 → 492
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ 1 (exp (* -1 x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
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(* -1/2 (* eps x))
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(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(/ x eps)
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(/ (- (* eps (- (+ 1 (* -1 (* eps x))) (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* -1 x)) eps)
(/ (- (* eps (- (+ 1 (* -1 (* eps x))) (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* -1 x)) eps)
(* -1 (* eps x))
(* eps (- (/ 1 eps) (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps))))))
(* eps (- (+ (/ 1 eps) (/ x (pow eps 2))) (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps))))))
(* eps (- (+ (/ 1 eps) (/ x (pow eps 2))) (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps))))))
(* -1 (* eps x))
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(* -1 (* eps (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 eps))) (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)) (* -1 x))))
(* -1 (* eps (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 eps))) (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)) (* -1 x))))
2
(+ 2 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(+ 2 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(+ 2 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(* x (* (+ 1 eps) (- (/ 1 eps) 1)))
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(* x (- (* 2 (/ 1 x)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* x (- (* 2 (/ 1 x)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* x (* (+ 1 eps) (- (/ 1 eps) 1)))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))
(* 1/2 (/ x eps))
(/ (+ (* 1/2 x) (* 1/2 (* eps (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 (* eps x)) (* 1/2 (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 (* eps x)) (* 1/2 (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))))) eps)
(* -1/2 (* eps x))
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(* eps (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (* 1/2 (/ (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)))))
(* eps (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (* 1/2 (/ (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)))))
(* -1/2 (* eps x))
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1
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(+ 1 (* 1/2 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* 1/2 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)))
(* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)))
(* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)))
(* 1/2 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
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(/ 1 eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
1
(+ 1 (/ 1 eps))
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(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
0
0
0
0
0
0
0
0
0
0
0
0
(* x (* (+ 1 (/ 1 eps)) (- eps 1)))
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(* x (* (+ 1 (/ 1 eps)) (- eps 1)))
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(* x (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (* (+ 1 (/ 1 eps)) (- eps 1)))
(* -1 (/ x eps))
(/ (+ (* -1 x) (* (pow eps 2) x)) eps)
(/ (+ (* -1 x) (* (pow eps 2) x)) eps)
(/ (+ (* -1 x) (* (pow eps 2) x)) eps)
(* eps x)
(* eps (+ x (* -1 (/ x (pow eps 2)))))
(* eps (+ x (* -1 (/ x (pow eps 2)))))
(* eps (+ x (* -1 (/ x (pow eps 2)))))
(* eps x)
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(* -1 (* eps (+ (* -1 x) (/ x (pow eps 2)))))
(* 1/4 (/ x eps))
(/ (+ (* -1/4 (* eps x)) (* 1/4 x)) eps)
(/ (+ (* 1/4 x) (* eps (+ (* -1/4 x) (* -1/4 (* eps x))))) eps)
(/ (+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ (* -1/4 x) (* 1/4 (* eps x))))))) eps)
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/4 (/ x eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (* 1/4 x))))
(* (pow eps 2) (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/4 (/ x (pow eps 3)))))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/4 (/ x eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)) eps)) (* 1/4 x)))
(+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
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(+ (* 1/4 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))
(+ (* 1/4 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))
(* 1/4 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))
(* x (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* x (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* x (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* 1/4 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) x)) (* -1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) x)) (* -1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) x)) (* -1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))))
(/ 1/2 eps)
(/ (+ 1/2 (* -1/2 (pow eps 2))) eps)
(/ (+ 1/2 (* -1/2 (pow eps 2))) eps)
(/ (+ 1/2 (* -1/2 (pow eps 2))) eps)
(* -1/2 eps)
(* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))
(* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))
(* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))
(* -1/2 eps)
(* -1 (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))))
(* -1 (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))))
(* -1 (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(* 2 (/ x (exp x)))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
(* 2 (/ x (exp x)))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 eps)))
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(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1)))))
(/ (+ 1 (* -1 x)) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (* eps x)))))) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (* eps x)))))) eps)
(* eps x)
(* eps (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps)))))
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2)))))))
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (/ 1 (pow eps 2)))))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (+ 1 (* -1 x)))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x eps)) (/ 1 eps)))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x eps)) (/ 1 eps)))) eps)))))
(/ 1 eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(* x (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))
(* x (+ (* 1/4 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(* x (+ (* 1/4 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(* x (+ (* 1/4 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (+ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(* 1/4 (* (pow x 2) (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))
(* (pow x 2) (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* (pow x 2) (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* (pow x 2) (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* 1/4 (* (pow x 2) (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))
(* (pow x 2) (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* (pow x 2) (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* (pow x 2) (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1/2 (* 1/2 eps)) (- (/ 1 eps) 1)) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* 1/4 (/ (pow x 2) eps))
(/ (+ (* -1/4 (* eps (pow x 2))) (* 1/4 (pow x 2))) eps)
(/ (+ (* 1/4 (pow x 2)) (* eps (+ (* -1/4 (* eps (pow x 2))) (* -1/4 (pow x 2))))) eps)
(/ (+ (* 1/4 (pow x 2)) (* eps (+ (* -1/4 (pow x 2)) (* eps (+ (* -1/4 (pow x 2)) (* 1/4 (* eps (pow x 2)))))))) eps)
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1/4 (/ (pow x 2) eps)) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 2)))))
(* (pow eps 2) (+ (* -1/4 (/ (pow x 2) eps)) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (/ (pow x 2) (pow eps 3))) (* 1/4 (pow x 2))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (/ (pow x 2) eps))) eps)) (* 1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(/ x eps)
(/ (+ x (* -1 (* eps x))) eps)
(/ (+ x (* eps (+ (* -1 x) (* -1 (* eps x))))) eps)
(/ (+ x (* eps (+ (* -1 x) (* eps (+ (* -1 x) (* eps x)))))) eps)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x eps))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (* -1 (/ x (pow eps 2))))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (/ x (pow eps 3))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (/ x eps)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (/ x eps)) eps))) eps))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 x (/.f64 x (exp.f64 x))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 (-.f64 x (/.f64 x (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x)) eps)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 x (exp.f64 x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (exp.f64 x)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* -1 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (-.f64 x (/.f64 x (exp.f64 x)))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (-.f64 x (/.f64 x (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x)) eps))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 x (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))) (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (exp.f64 x)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) (/.f64 x (exp.f64 x))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))))))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))))))))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 (* eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(/ x eps)
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(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
(/ x eps)
(/.f64 x eps)
(/ (+ x (* -1 (* eps x))) eps)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) eps)
(/ (+ x (* eps (+ (* -1 x) (* -1 (* eps x))))) eps)
(/.f64 (+.f64 x (*.f64 eps (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps)
(/ (+ x (* eps (+ (* -1 x) (* eps (+ (* -1 x) (* eps x)))))) eps)
(/.f64 (+.f64 x (*.f64 eps (-.f64 (*.f64 eps (*.f64 x (+.f64 eps #s(literal -1 binary64)))) x))) eps)
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ x eps))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 x eps))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (* -1 (/ x (pow eps 2))))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 (+.f64 x (/.f64 x eps)) eps))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (/ x (pow eps 3))))))
(*.f64 (*.f64 eps eps) (+.f64 (-.f64 x (/.f64 (+.f64 x (/.f64 x eps)) eps)) (/.f64 x (*.f64 eps (*.f64 eps eps)))))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ x eps))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 x eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (/ x eps)) eps))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 (+.f64 x (/.f64 x eps)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (/ x eps)) eps))) eps))))
(*.f64 (*.f64 eps eps) (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 x eps) x) eps)) eps)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* eps x)
(*.f64 x eps)
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

eval275.0ms (1.7%)

Memory
19.8MiB live, 560.3MiB allocated
Compiler

Compiled 56 598 to 4 796 computations (91.5% saved)

prune204.0ms (1.3%)

Memory
23.0MiB live, 467.4MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1 500201 520
Fresh9918
Picked325
Done011
Total1 512321 544
Accuracy
100.0%
Counts
1 544 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.7%
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
75.0%
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
32.3%
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
19.6%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
31.4%
(/.f64 (-.f64 (+.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))
22.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
33.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
42.2%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
63.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
78.4%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
84.8%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
62.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
56.8%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
58.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
75.1%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
58.2%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
64.1%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
64.1%
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
50.8%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
42.4%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
16.3%
(/.f64 x (exp.f64 x))
56.8%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
50.7%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
42.3%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
50.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
71.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
58.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
75.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
74.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
69.4%
(*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) eps)))
9.4%
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
43.0%
#s(literal 1 binary64)
Compiler

Compiled 1 379 to 835 computations (39.4% saved)

simplify465.0ms (2.9%)

Memory
-17.5MiB live, 711.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) eps)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff0
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
cost-diff512
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
cost-diff0
(/.f64 #s(literal 1 binary64) eps)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff128
(/.f64 (-.f64 (+.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))
cost-diff640
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
cost-diff0
(/.f64 x eps)
cost-diff0
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
cost-diff0
(exp.f64 (*.f64 x eps))
cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
cost-diff0
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
cost-diff128
(+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
Rules
17 232×accelerator-lowering-fma.f32
17 232×accelerator-lowering-fma.f64
3 184×*-lowering-*.f32
3 184×*-lowering-*.f64
2 674×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041362
1123361
2388348
31522336
45498334
08223302
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (exp (* x eps)) (+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))))) 2)
(+ (exp (* x eps)) (+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))))))
(exp (* x eps))
(* x eps)
x
eps
(+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))))
1
(* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))))
(+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))
(- -1 eps)
-1
(* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))
1/2
(* (+ 1 eps) (* x (+ 1 eps)))
(+ 1 eps)
(* x (+ 1 eps))
2
(/ (/ x eps) 2)
(/ x eps)
x
eps
2
(/ (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps))) 2)
(- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps)))
(+ 1 (/ 1 eps))
1
(/ 1 eps)
eps
(+ -1 (/ 1 eps))
-1
2
(/ (- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps)))) 2)
(- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps))))
(+ 1 (/ 1 eps))
1
(/ 1 eps)
eps
(* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps)))
(+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1)
(/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1))))
(* (- -1 (* eps (* eps eps))) x)
(- -1 (* eps (* eps eps)))
-1
(* eps (* eps eps))
(* eps eps)
x
(+ 1 (* eps (+ eps -1)))
(* eps (+ eps -1))
(+ eps -1)
(+ -1 (/ 1 eps))
2
(/ 1 (/ (exp x) (+ x 1)))
1
(/ (exp x) (+ x 1))
(exp x)
x
(+ x 1)
Outputs
(/ (+ (exp (* x eps)) (+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))))) 2)
(/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64))))) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+ (exp (* x eps)) (+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))))))
(+.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64))))) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64))))))
1
#s(literal 1 binary64)
(* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))))
(*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)))))
(+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)))))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(* (+ 1 eps) (* x (+ 1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(* x (+ 1 eps))
(*.f64 x (+.f64 eps #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(/ (/ x eps) 2)
(/.f64 x (*.f64 eps #s(literal 2 binary64)))
(/ x eps)
(/.f64 x eps)
x
eps
2
#s(literal 2 binary64)
(/ (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps))) 2)
#s(literal 1 binary64)
(- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps)))
#s(literal 2 binary64)
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
eps
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(/ (- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps)))) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 (-.f64 (/.f64 x eps) x) (-.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))) #s(literal 2 binary64))
(- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps))))
(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 (-.f64 (/.f64 x eps) x) (-.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
eps
(* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1))))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(* (- -1 (* eps (* eps eps))) x)
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(- -1 (* eps (* eps eps)))
(-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))
-1
#s(literal -1 binary64)
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
x
(+ 1 (* eps (+ eps -1)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))
(* eps (+ eps -1))
(*.f64 eps (+.f64 eps #s(literal -1 binary64)))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
2
#s(literal 2 binary64)
(/ 1 (/ (exp x) (+ x 1)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
1
#s(literal 1 binary64)
(/ (exp x) (+ x 1))
(/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
(exp x)
(exp.f64 x)
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))

localize178.0ms (1.1%)

Memory
3.1MiB live, 404.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
accuracy99.9%
(*.f64 eps (*.f64 eps eps))
accuracy96.7%
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x)
accuracy76.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
accuracy73.6%
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) eps)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
accuracy62.5%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
accuracy100.0%
(/.f64 x eps)
accuracy100.0%
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
accuracy97.0%
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
Samples
56.0ms101×1valid
38.0ms120×0valid
14.0ms35×0exit
Compiler

Compiled 402 to 43 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-div: 20.0ms (27.8% of total)
ival-mult: 18.0ms (25% of total)
ival-add: 15.0ms (20.9% of total)
ival-sub: 6.0ms (8.3% of total)
ival-exp: 6.0ms (8.3% of total)
adjust: 5.0ms (7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
-20.8MiB live, 101.1MiB allocated
Counts
23 → 432
Calls
Call 1
Inputs
#<alt (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))>
#<alt (/ (+ (exp (* x eps)) (+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))))) 2)>
#<alt (+ (exp (* x eps)) (+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))))))>
#<alt (exp (* x eps))>
#<alt (/ (/ x eps) 2)>
#<alt (/ x eps)>
#<alt (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps)))>
#<alt (/ (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps))) 2)>
#<alt (+ 1 (/ 1 eps))>
#<alt (/ 1 eps)>
#<alt (- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps))))>
#<alt (/ (- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps)))) 2)>
#<alt (/ 1 (/ (exp x) (+ x 1)))>
#<alt (/ (exp x) (+ x 1))>
#<alt (exp x)>
#<alt (+ x 1)>
#<alt (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))))>
#<alt (* (+ 1 eps) (* x (+ 1 eps)))>
#<alt (* x (+ 1 eps))>
#<alt (+ -1 (/ 1 eps))>
#<alt (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1))))>
#<alt (* (- -1 (* eps (* eps eps))) x)>
#<alt (* eps (* eps eps))>
Outputs
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- x 1))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (/ x eps)) (/ 1 eps)))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x)))>
#<alt (* -1 (+ 1 eps))>
#<alt (- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))>
#<alt (- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))>
#<alt (- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/12 (* (pow eps 3) x)) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (+ (* 1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ 1 (exp (* eps x))) (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (+ (* 1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ 1 (exp (* eps x))) (pow x 2))))))>
#<alt (* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (exp (* eps x))) x)) (* 1/2 (+ 1 eps))) x)) (* 1/4 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (exp (* eps x))) x)) (* 1/2 (+ 1 eps))) x)) (* 1/4 (pow (+ 1 eps) 2))))>
#<alt (* 1/2 (+ 2 (* x (- (* 1/2 x) 1))))>
#<alt (+ (* 1/2 (* eps (+ x (* x (- x 1))))) (* 1/2 (+ 2 (* x (- (* 1/2 x) 1)))))>
#<alt (+ (* 1/2 (+ 2 (* x (- (* 1/2 x) 1)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (+ x (* x (- x 1)))))))>
#<alt (+ (* 1/2 (+ 2 (* x (- (* 1/2 x) 1)))) (* eps (+ (* 1/2 (+ x (* x (- x 1)))) (* eps (+ (* 1/12 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (* 1/2 (/ (* x (- x 1)) eps))))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (* x (- x 1)) eps)) (* 1/2 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (* x (- x 1)) eps)) (* 1/2 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) (pow eps 2))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) eps)) (* 1/2 (* x (+ 1 (* -1 x))))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) eps)) (* 1/2 (* x (+ 1 (* -1 x))))) eps)) (* 1/4 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/6 (* (pow eps 3) x)) (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ 1 (pow x 2)) (/ (exp (* eps x)) (pow x 2)))) (+ (/ 1 x) (/ eps x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ 1 (pow x 2)) (/ (exp (* eps x)) (pow x 2)))) (+ (/ 1 x) (/ eps x))))>
#<alt (* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 (+ eps (* -1 (/ (+ 1 (exp (* eps x))) x)))) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 (+ eps (* -1 (/ (+ 1 (exp (* eps x))) x)))) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (+ 2 (* x (- (* 1/2 x) 1)))>
#<alt (+ 2 (+ (* eps (+ x (* x (- x 1)))) (* x (- (* 1/2 x) 1))))>
#<alt (+ 2 (+ (* eps (+ x (+ (* eps (pow x 2)) (* x (- x 1))))) (* x (- (* 1/2 x) 1))))>
#<alt (+ 2 (+ (* eps (+ x (+ (* eps (+ (* 1/6 (* eps (pow x 3))) (pow x 2))) (* x (- x 1))))) (* x (- (* 1/2 x) 1))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (exp (* eps x)) (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (exp (* eps x)) (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 2>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt 1>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt 1>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ 1 eps)>
#<alt (/ x eps)>
#<alt (/ (- (* eps (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* -1 x)) eps)>
#<alt (/ (- (* eps (- (+ 1 (* -1 (* eps (+ (* -1 x) (* 2 x))))) (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* -1 x)) eps)>
#<alt (/ (- (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ (* -1 (+ x (* -1 x))) (* -1 (- x (+ (* -1 x) (* 2 x))))))) (+ (* -1 x) (* 2 x))))) (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* -1 x)) eps)>
#<alt (* -1 (* eps x))>
#<alt (* eps (- (/ 1 eps) (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps))))))>
#<alt (* eps (- (+ (* -1 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow eps 2))) (/ 1 eps)) (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps))))))>
#<alt (* eps (- (+ (* -1 (/ (+ (* -1 (+ (* -1 (+ x (* -1 x))) (* -1 (- x (+ (* -1 x) (* 2 x)))))) (* -1 (- x (+ (* -1 x) (* 2 x))))) (pow eps 4))) (/ 1 eps)) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (* -1 (/ (+ x (* -1 x)) (pow eps 2)))))))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (- (* -1 (/ (- 1 (+ (* -1 x) (* -1 (- 1 x)))) eps)) (* -1 x))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ 1 (+ (* -1 (/ x eps)) (+ (* -1 (/ (- 1 x) eps)) (+ (/ 1 eps) (/ x eps))))) (+ (* -1 x) (* -1 (- 1 x)))) eps)) (* -1 x))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ x (* -1 x)) eps)) (/ x eps))) (+ 1 (+ x (+ (* -1 x) (* -1 (- 1 x)))))) eps))) (+ (* -1 x) (* -1 (- 1 x)))) eps)) (* -1 x))))>
#<alt 2>
#<alt (+ 2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1)))))>
#<alt (+ 2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1)))))>
#<alt (+ 2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1)))))>
#<alt (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1))))>
#<alt (* x (- (* 2 (/ 1 x)) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1)))))))>
#<alt (* x (- (* 2 (/ 1 x)) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1)))))))>
#<alt (* x (- (* 2 (/ 1 x)) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1)))))))>
#<alt (* x (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1)))>
#<alt (* x (+ (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ (* 1/2 x) (* 1/2 (* eps (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ (* -1/2 (* eps (+ (* -1 x) (* 2 x)))) (* 1/2 (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ (* 1/2 (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* eps (+ (* -1/2 (* eps (+ (* -1 (+ x (* -1 x))) (* -1 (- x (+ (* -1 x) (* 2 x))))))) (* -1/2 (+ (* -1 x) (* 2 x)))))))) eps)>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (* 1/2 (/ (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps))))>
#<alt (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow eps 2))) (* 1/2 (/ (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)))))>
#<alt (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow eps 2))) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (+ x (* -1 x))) (* -1 (- x (+ (* -1 x) (* 2 x)))))) (* -1 (- x (+ (* -1 x) (* 2 x))))) (pow eps 4))) (* 1/2 (/ (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps))))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1/2 (/ (- 1 (+ (* -1 x) (* -1 (- 1 x)))) eps)) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* 1/2 (- 1 (+ (* -1 x) (* -1 (- 1 x))))) (* 1/2 (/ (+ 1 (+ x (+ (* -1 x) (* -1 (- 1 x))))) eps))) eps)) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1 (+ x (+ (* -1 x) (* -1 (- 1 x)))))) (* 1/2 (/ (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))) eps))) eps)) (* 1/2 (- 1 (+ (* -1 x) (* -1 (- 1 x)))))) eps)) (* 1/2 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1))))))>
#<alt (+ 1 (* 1/2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1))))))>
#<alt (+ 1 (* 1/2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1))))))>
#<alt (* 1/2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1)))))>
#<alt (* x (+ (* 1/2 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) (/ 1 x)))>
#<alt (* x (+ (* 1/2 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) (/ 1 x)))>
#<alt (* x (+ (* 1/2 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) (/ 1 x)))>
#<alt (* 1/2 (* x (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1))))>
#<alt (* -1 (* x (- (* -1/2 (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1))) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (/ x (exp x))>
#<alt (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))>
#<alt (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))>
#<alt (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))>
#<alt (/ x (exp x))>
#<alt (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))>
#<alt (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))>
#<alt (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/3 x))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* x (- (* 3/8 x) 1/3)))))>
#<alt (/ (exp x) x)>
#<alt (/ (+ (exp x) (* -1 (/ (exp x) x))) x)>
#<alt (/ (- (+ (exp x) (/ (exp x) (pow x 2))) (/ (exp x) x)) x)>
#<alt (/ (- (+ (exp x) (* -1 (/ (exp x) (pow x 3)))) (+ (* -1 (/ (exp x) (pow x 2))) (/ (exp x) x))) x)>
#<alt (/ (exp x) x)>
#<alt (* -1 (/ (+ (* -1 (exp x)) (/ (exp x) x)) x))>
#<alt (* -1 (/ (+ (* -1 (exp x)) (* -1 (/ (- (/ (exp x) x) (exp x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (exp x)) (* -1 (/ (- (* -1 (/ (- (/ (exp x) x) (exp x)) x)) (exp x)) x))) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))>
#<alt (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))>
#<alt (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))>
#<alt (* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (+ (* eps (* x (- x 1))) (* x (- (* 1/2 x) 1)))>
#<alt (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))>
#<alt (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))>
#<alt x>
#<alt (+ x (* 2 (* eps x)))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* eps (+ (* -1 x) (* eps (+ x (* -1 x))))))>
#<alt (+ (* -1 x) (* eps (+ (* -1 x) (* eps (+ x (+ (* -1 x) (* -1 (* eps (- x (+ (* -1 x) (* 2 x)))))))))))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (/ x (pow eps 2))))))>
#<alt (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (- x (+ (* -1 x) (* 2 x))) (pow eps 3))) (/ x (pow eps 2)))))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (* -1 (/ (- (+ (* -1 (/ x eps)) (/ x eps)) x) eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ x (* -1 x)) eps)) (+ x (* -1 x))) eps)) x) eps)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* (pow eps 3) x)))>
#<alt (+ (* -1 x) (* -1 (* (pow eps 3) x)))>
#<alt (+ (* -1 x) (* -1 (* (pow eps 3) x)))>
#<alt (* -1 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))>
#<alt (* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))>
#<alt (* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))>
#<alt (* -1 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))>
#<alt (* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))>
#<alt (* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (* -1 (* x (+ 1 (pow eps 3))))>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
Calls

108 calls:

TimeVariablePointExpression
12.0ms
eps
@0
(- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps))))
2.0ms
eps
@inf
(- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps))))
1.0ms
x
@0
(- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps))))
1.0ms
x
@-inf
(- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps))))
1.0ms
x
@0
(/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1))))

rewrite384.0ms (2.4%)

Memory
27.6MiB live, 701.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 500×/-lowering-/.f32
4 500×/-lowering-/.f64
2 990×*-lowering-*.f32
2 990×*-lowering-*.f64
2 558×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041249
1314213
23209199
08321188
Stop Event
iter limit
node limit
Counts
23 → 777
Calls
Call 1
Inputs
(+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))
(/ (+ (exp (* x eps)) (+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps)))))))) 2)
(+ (exp (* x eps)) (+ 1 (* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))))))
(exp (* x eps))
(/ (/ x eps) 2)
(/ x eps)
(- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps)))
(/ (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps))) 2)
(+ 1 (/ 1 eps))
(/ 1 eps)
(- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps))))
(/ (- (+ 1 (/ 1 eps)) (* (+ (/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1)))) 1) (+ -1 (/ 1 eps)))) 2)
(/ 1 (/ (exp x) (+ x 1)))
(/ (exp x) (+ x 1))
(exp x)
(+ x 1)
(* x (+ (- -1 eps) (* 1/2 (* (+ 1 eps) (* x (+ 1 eps))))))
(* (+ 1 eps) (* x (+ 1 eps)))
(* x (+ 1 eps))
(+ -1 (/ 1 eps))
(/ (* (- -1 (* eps (* eps eps))) x) (+ 1 (* eps (+ eps -1))))
(* (- -1 (* eps (* eps eps))) x)
(* eps (* eps eps))
Outputs
(+.f64 #s(literal -1 binary64) (neg.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))))))
(+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))))
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(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) x) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
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(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (neg.f64 (+.f64 #s(literal -1 binary64) eps)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x)) (neg.f64 (+.f64 #s(literal -1 binary64) eps)))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) x)) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) eps)) (-.f64 (*.f64 eps (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps)) x))
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps))))
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps)) x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) x)) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))
(*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))
(/.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64))
(pow.f64 eps #s(literal 3 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps eps))
(*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) eps)
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64))
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))

simplify413.0ms (2.6%)

Memory
-12.7MiB live, 744.1MiB allocated
Algorithm
egg-herbie
Rules
11 130×accelerator-lowering-fma.f32
11 130×accelerator-lowering-fma.f64
4 646×*-lowering-*.f32
4 646×*-lowering-*.f64
3 314×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06054828
120824352
272334348
080124033
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(- (* 1/2 x) 1)
(- (+ (* 1/2 x) (* eps (- x 1))) 1)
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/2 x) (/ x eps)) (/ 1 eps)))
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x)))
(* -1 (+ 1 eps))
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))
(* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))
(* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))
1
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/12 (* (pow eps 3) x)) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (+ (* 1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ 1 (exp (* eps x))) (pow x 2))))))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (+ (* 1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ 1 (exp (* eps x))) (pow x 2))))))
(* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (exp (* eps x))) x)) (* 1/2 (+ 1 eps))) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (exp (* eps x))) x)) (* 1/2 (+ 1 eps))) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* 1/2 (+ 2 (* x (- (* 1/2 x) 1))))
(+ (* 1/2 (* eps (+ x (* x (- x 1))))) (* 1/2 (+ 2 (* x (- (* 1/2 x) 1)))))
(+ (* 1/2 (+ 2 (* x (- (* 1/2 x) 1)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (+ x (* x (- x 1)))))))
(+ (* 1/2 (+ 2 (* x (- (* 1/2 x) 1)))) (* eps (+ (* 1/2 (+ x (* x (- x 1)))) (* eps (+ (* 1/12 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (* 1/2 (/ (* x (- x 1)) eps))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (* x (- x 1)) eps)) (* 1/2 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) (pow eps 2))))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (* x (- x 1)) eps)) (* 1/2 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) (pow eps 2))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) eps)) (* 1/2 (* x (+ 1 (* -1 x))))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) eps)) (* 1/2 (* x (+ 1 (* -1 x))))) eps)) (* 1/4 (pow x 2))))
2
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/6 (* (pow eps 3) x)) (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (- (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ 1 (pow x 2)) (/ (exp (* eps x)) (pow x 2)))) (+ (/ 1 x) (/ eps x))))
(* (pow x 2) (- (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ 1 (pow x 2)) (/ (exp (* eps x)) (pow x 2)))) (+ (/ 1 x) (/ eps x))))
(* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 (+ eps (* -1 (/ (+ 1 (exp (* eps x))) x)))) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 (+ eps (* -1 (/ (+ 1 (exp (* eps x))) x)))) x)) (* 1/2 (pow (+ 1 eps) 2))))
(+ 2 (* x (- (* 1/2 x) 1)))
(+ 2 (+ (* eps (+ x (* x (- x 1)))) (* x (- (* 1/2 x) 1))))
(+ 2 (+ (* eps (+ x (+ (* eps (pow x 2)) (* x (- x 1))))) (* x (- (* 1/2 x) 1))))
(+ 2 (+ (* eps (+ x (+ (* eps (+ (* 1/6 (* eps (pow x 3))) (pow x 2))) (* x (- x 1))))) (* x (- (* 1/2 x) 1))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (exp (* eps x)) (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (exp (* eps x)) (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp (* eps x)) (* x (- (* 1/2 x) 1)))) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(* 1/2 (/ x eps))
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
(/ 1 eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ x eps)
(/ (- (* eps (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* -1 x)) eps)
(/ (- (* eps (- (+ 1 (* -1 (* eps (+ (* -1 x) (* 2 x))))) (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* -1 x)) eps)
(/ (- (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ (* -1 (+ x (* -1 x))) (* -1 (- x (+ (* -1 x) (* 2 x))))))) (+ (* -1 x) (* 2 x))))) (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* -1 x)) eps)
(* -1 (* eps x))
(* eps (- (/ 1 eps) (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps))))))
(* eps (- (+ (* -1 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow eps 2))) (/ 1 eps)) (+ x (+ (* -1 (/ x eps)) (* -1 (/ (+ 1 (* -1 x)) eps))))))
(* eps (- (+ (* -1 (/ (+ (* -1 (+ (* -1 (+ x (* -1 x))) (* -1 (- x (+ (* -1 x) (* 2 x)))))) (* -1 (- x (+ (* -1 x) (* 2 x))))) (pow eps 4))) (/ 1 eps)) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (* -1 (/ (+ x (* -1 x)) (pow eps 2)))))))))
(* -1 (* eps x))
(* -1 (* eps (- (* -1 (/ (- 1 (+ (* -1 x) (* -1 (- 1 x)))) eps)) (* -1 x))))
(* -1 (* eps (- (* -1 (/ (- (+ 1 (+ (* -1 (/ x eps)) (+ (* -1 (/ (- 1 x) eps)) (+ (/ 1 eps) (/ x eps))))) (+ (* -1 x) (* -1 (- 1 x)))) eps)) (* -1 x))))
(* -1 (* eps (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ x (* -1 x)) eps)) (/ x eps))) (+ 1 (+ x (+ (* -1 x) (* -1 (- 1 x)))))) eps))) (+ (* -1 x) (* -1 (- 1 x)))) eps)) (* -1 x))))
2
(+ 2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1)))))
(+ 2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1)))))
(+ 2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1)))))
(/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1))))
(* x (- (* 2 (/ 1 x)) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1)))))))
(* x (- (* 2 (/ 1 x)) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1)))))))
(* x (- (* 2 (/ 1 x)) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1)))))))
(* x (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1)))
(* x (+ (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))
(* x (+ (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))
(* x (+ (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1)) (* 2 (/ 1 x))))
(* 1/2 (/ x eps))
(/ (+ (* 1/2 x) (* 1/2 (* eps (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 (* eps (+ (* -1 x) (* 2 x)))) (* 1/2 (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* 1/2 (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x)))))) (* eps (+ (* -1/2 (* eps (+ (* -1 (+ x (* -1 x))) (* -1 (- x (+ (* -1 x) (* 2 x))))))) (* -1/2 (+ (* -1 x) (* 2 x)))))))) eps)
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (* 1/2 (/ (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps))))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow eps 2))) (* 1/2 (/ (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps)))))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (+ (* -1 x) (* -1 (+ x (* -1 x)))) (pow eps 2))) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (+ x (* -1 x))) (* -1 (- x (+ (* -1 x) (* 2 x)))))) (* -1 (- x (+ (* -1 x) (* 2 x))))) (pow eps 4))) (* 1/2 (/ (- 1 (+ (* -1 x) (* -1 (+ 1 (* -1 x))))) eps))))))
(* -1/2 (* eps x))
(* -1 (* eps (+ (* -1/2 (/ (- 1 (+ (* -1 x) (* -1 (- 1 x)))) eps)) (* 1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ (* 1/2 (- 1 (+ (* -1 x) (* -1 (- 1 x))))) (* 1/2 (/ (+ 1 (+ x (+ (* -1 x) (* -1 (- 1 x))))) eps))) eps)) (* 1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1 (+ x (+ (* -1 x) (* -1 (- 1 x)))))) (* 1/2 (/ (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))) eps))) eps)) (* 1/2 (- 1 (+ (* -1 x) (* -1 (- 1 x)))))) eps)) (* 1/2 x))))
1
(+ 1 (* 1/2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1))))))
(+ 1 (* 1/2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1))))))
(+ 1 (* 1/2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1))))))
(* 1/2 (/ (* x (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1))) (+ 1 (* eps (- eps 1)))))
(* x (+ (* 1/2 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) (/ 1 x)))
(* x (+ (* 1/2 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) (/ 1 x)))
(* x (+ (* 1/2 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) (/ 1 x)))
(* 1/2 (* x (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1))))
(* -1 (* x (- (* -1/2 (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1))) (/ 1 x))))
(* -1 (* x (- (* -1/2 (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1))) (/ 1 x))))
(* -1 (* x (- (* -1/2 (* (+ (/ 1 (+ 1 (* eps (- eps 1)))) (/ (pow eps 3) (+ 1 (* eps (- eps 1))))) (- (/ 1 eps) 1))) (/ 1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/3 x))))
(+ 1 (* (pow x 2) (+ 1/2 (* x (- (* 3/8 x) 1/3)))))
(/ (exp x) x)
(/ (+ (exp x) (* -1 (/ (exp x) x))) x)
(/ (- (+ (exp x) (/ (exp x) (pow x 2))) (/ (exp x) x)) x)
(/ (- (+ (exp x) (* -1 (/ (exp x) (pow x 3)))) (+ (* -1 (/ (exp x) (pow x 2))) (/ (exp x) x))) x)
(/ (exp x) x)
(* -1 (/ (+ (* -1 (exp x)) (/ (exp x) x)) x))
(* -1 (/ (+ (* -1 (exp x)) (* -1 (/ (- (/ (exp x) x) (exp x)) x))) x))
(* -1 (/ (+ (* -1 (exp x)) (* -1 (/ (- (* -1 (/ (- (/ (exp x) x) (exp x)) x)) (exp x)) x))) x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 eps)))
(* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))
(* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))
(* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))
(* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* x (- (* 1/2 x) 1))
(+ (* eps (* x (- x 1))) (* x (- (* 1/2 x) 1)))
(+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))
(+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))
x
(+ x (* 2 (* eps x)))
(+ x (* eps (+ (* 2 x) (* eps x))))
(+ x (* eps (+ (* 2 x) (* eps x))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
x
(+ x (* eps x))
(+ x (* eps x))
(+ x (* eps x))
(* eps x)
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(/ 1 eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* eps (+ (* -1 x) (* eps (+ x (* -1 x))))))
(+ (* -1 x) (* eps (+ (* -1 x) (* eps (+ x (+ (* -1 x) (* -1 (* eps (- x (+ (* -1 x) (* 2 x)))))))))))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (/ x (pow eps 2))))))
(* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (- x (+ (* -1 x) (* 2 x))) (pow eps 3))) (/ x (pow eps 2)))))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (* -1 (/ (- (+ (* -1 (/ x eps)) (/ x eps)) x) eps)))))
(* -1 (* eps (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ x (* -1 x)) eps)) (+ x (* -1 x))) eps)) x) eps)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(* -1 x)
(+ (* -1 x) (* -1 (* (pow eps 3) x)))
(+ (* -1 x) (* -1 (* (pow eps 3) x)))
(+ (* -1 x) (* -1 (* (pow eps 3) x)))
(* -1 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))
(* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))
(* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))
(* -1 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))
(* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))
(* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(* -1 (* x (+ 1 (pow eps 3))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
Outputs
(- (* 1/2 x) 1)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(- (+ (* 1/2 x) (* eps (- x 1))) 1)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)
(+.f64 (*.f64 eps (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) x) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)
(+.f64 (*.f64 eps (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) x) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (- (+ (* 1/2 x) (/ x eps)) (/ 1 eps)))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) eps)))
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps eps)))) (/.f64 (+.f64 x #s(literal -1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps eps)))) (/.f64 (+.f64 x #s(literal -1 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) eps)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) eps)) eps)))
(* -1 (+ 1 eps))
(-.f64 #s(literal -1 binary64) eps)
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
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(*.f64 eps (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x eps)) x) #s(literal -1 binary64)))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (* -1 eps)) eps)
(/.f64 (-.f64 #s(literal 1 binary64) eps) eps)
(/ (+ 1 (* -1 eps)) eps)
(/.f64 (-.f64 #s(literal 1 binary64) eps) eps)
(/ (+ 1 (* -1 eps)) eps)
(/.f64 (-.f64 #s(literal 1 binary64) eps) eps)
-1
#s(literal -1 binary64)
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+ (* -1 x) (* eps (+ (* -1 x) (* eps (+ x (* -1 x))))))
(-.f64 (*.f64 eps (-.f64 (*.f64 eps #s(literal 0 binary64)) x)) x)
(+ (* -1 x) (* eps (+ (* -1 x) (* eps (+ x (+ (* -1 x) (* -1 (* eps (- x (+ (* -1 x) (* 2 x)))))))))))
(-.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 eps #s(literal 0 binary64))) x)) x)
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(*.f64 eps (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x eps)) x))
(* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (/ x (pow eps 2))))))
(*.f64 eps (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x eps)) x))
(* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (- x (+ (* -1 x) (* 2 x))) (pow eps 3))) (/ x (pow eps 2)))))))
(*.f64 eps (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x eps)) x))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* -1 (* eps (+ x (/ x eps))))
(*.f64 eps (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x eps)) x))
(* -1 (* eps (+ x (* -1 (/ (- (+ (* -1 (/ x eps)) (/ x eps)) x) eps)))))
(*.f64 eps (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x eps)) x))
(* -1 (* eps (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ x (* -1 x)) eps)) (+ x (* -1 x))) eps)) x) eps)))))
(*.f64 eps (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x eps)) x))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 (/ (* x (+ 1 (pow eps 3))) (+ 1 (* eps (- eps 1)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* -1 (* (pow eps 3) x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(+ (* -1 x) (* -1 (* (pow eps 3) x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(+ (* -1 x) (* -1 (* (pow eps 3) x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* (pow eps 3) x))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 eps (*.f64 eps eps)))))
(* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 eps (*.f64 eps eps)))))
(* (pow eps 3) (+ (* -1 x) (* -1 (/ x (pow eps 3)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 eps (*.f64 eps eps)))))
(* -1 (* (pow eps 3) x))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 eps (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 eps (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (+ x (/ x (pow eps 3)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(* -1 (* x (+ 1 (pow eps 3))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))

eval183.0ms (1.1%)

Memory
4.4MiB live, 393.5MiB allocated
Compiler

Compiled 42 429 to 3 986 computations (90.6% saved)

prune234.0ms (1.4%)

Memory
10.3MiB live, 423.8MiB allocated
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1 349141 363
Fresh81624
Picked325
Done033
Total1 360351 395
Accuracy
100.0%
Counts
1 395 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))
11.4%
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
2.7%
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
75.0%
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
18.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
32.3%
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
10.1%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
42.2%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
57.2%
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
63.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
78.4%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x eps))))))) #s(literal 2 binary64))
84.8%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
56.8%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
71.2%
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
58.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
58.2%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
64.1%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
34.9%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
43.3%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
16.3%
(/.f64 x (exp.f64 x))
56.8%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
42.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
50.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
2.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
50.7%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
42.3%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
50.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
71.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
58.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
74.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
34.9%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
69.4%
(*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) eps)))
9.4%
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
32.8%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
43.0%
#s(literal 1 binary64)
Compiler

Compiled 2 135 to 817 computations (61.7% saved)

regimes83.0ms (0.5%)

Memory
-9.0MiB live, 186.3MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) eps)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x eps))))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
Calls

4 calls:

20.0ms
eps
18.0ms
x
16.0ms
(-.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)))))
15.0ms
(/.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
98.6%1x
98.6%1eps
98.6%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
98.6%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes49.0ms (0.3%)

Memory
-12.3MiB live, 108.1MiB allocated
Counts
62 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) eps)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x eps))))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
Calls

2 calls:

19.0ms
eps
18.0ms
x
Results
AccuracySegmentsBranch
99.8%2eps
89.1%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory
25.6MiB live, 64.3MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) eps)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x eps))))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
Calls

1 calls:

17.0ms
eps
Results
AccuracySegmentsBranch
93.4%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.2%)

Memory
-18.4MiB live, 62.0MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) eps)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x eps))))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x eps))))))) #s(literal 2 binary64))
Calls

1 calls:

17.0ms
eps
Results
AccuracySegmentsBranch
93.4%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory
29.9MiB live, 68.5MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) eps)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))
Calls

1 calls:

16.0ms
eps
Results
AccuracySegmentsBranch
92.4%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory
-19.9MiB live, 57.7MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))
Calls

1 calls:

13.0ms
eps
Results
AccuracySegmentsBranch
91.4%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.2%)

Memory
-4.1MiB live, 79.5MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))))) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))
Calls

2 calls:

16.0ms
eps
14.0ms
x
Results
AccuracySegmentsBranch
83.2%2x
86.2%3eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
4.3MiB live, 42.0MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))) #s(literal 0 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))
Calls

1 calls:

13.0ms
eps
Results
AccuracySegmentsBranch
86.1%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
3.8MiB live, 41.2MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64))
Calls

1 calls:

12.0ms
eps
Results
AccuracySegmentsBranch
83.9%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
-11.0MiB live, 30.4MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/4 binary64)) eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2/3 binary64)))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
Calls

1 calls:

14.0ms
eps
Results
AccuracySegmentsBranch
83.5%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
Calls

2 calls:

4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
71.4%4x
75.1%3eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Memory
-19.9MiB live, 19.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps))
Outputs
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
Calls

2 calls:

4.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
68.7%3x
66.9%3eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
Outputs
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
43.0%1eps
49.8%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
43.0%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch20.0ms (0.1%)

Memory
-30.3MiB live, 48.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
125.52072151098466
6784.987135830782
Samples
13.0ms112×0valid
Compiler

Compiled 209 to 157 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (30.4% of total)
ival-div: 2.0ms (20.3% of total)
ival-exp: 2.0ms (20.3% of total)
ival-add: 1.0ms (10.1% of total)
ival-sub: 1.0ms (10.1% of total)
ival-neg: 1.0ms (10.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory
7.7MiB live, 49.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
125.52072151098466
6784.987135830782
Samples
14.0ms112×0valid
Compiler

Compiled 300 to 206 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 3.0ms (26.7% of total)
ival-div: 2.0ms (17.8% of total)
ival-exp: 2.0ms (17.8% of total)
ival-mult: 2.0ms (17.8% of total)
ival-sub: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Memory
7.0MiB live, 46.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
125.52072151098466
6784.987135830782
Samples
12.0ms112×0valid
Compiler

Compiled 286 to 199 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (33.2% of total)
ival-div: 2.0ms (22.1% of total)
ival-exp: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
ival-sub: 1.0ms (11.1% of total)
ival-neg: 1.0ms (11.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Memory
4.0MiB live, 82.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
1.3749002365565414e+106
2.4650260740358933e+107
20.0ms
0.0006948634606635132
0.027246760168303432
Samples
25.0ms224×0valid
2.0ms19×0exit
Compiler

Compiled 1 161 to 626 computations (46.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 5.0ms (24.2% of total)
ival-mult: 5.0ms (24.2% of total)
ival-exp: 3.0ms (14.5% of total)
ival-sub: 3.0ms (14.5% of total)
ival-add: 2.0ms (9.7% of total)
ival-neg: 2.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch47.0ms (0.3%)

Memory
-13.1MiB live, 65.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.3749002365565414e+106
2.4650260740358933e+107
25.0ms
71222.1761012254
1246918.9144518964
Samples
24.0ms224×0valid
Compiler

Compiled 699 to 437 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (27.4% of total)
ival-div: 3.0ms (16.4% of total)
ival-exp: 3.0ms (16.4% of total)
ival-sub: 3.0ms (16.4% of total)
ival-add: 2.0ms (11% of total)
ival-neg: 2.0ms (11% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Memory
12.1MiB live, 88.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.3749002365565414e+106
2.4650260740358933e+107
20.0ms
0.0006948634606635132
0.027246760168303432
Samples
26.0ms224×0valid
2.0ms15×0exit
Compiler

Compiled 1 182 to 640 computations (45.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 5.0ms (23.6% of total)
ival-sub: 5.0ms (23.6% of total)
ival-div: 3.0ms (14.2% of total)
ival-exp: 3.0ms (14.2% of total)
ival-add: 2.0ms (9.5% of total)
ival-neg: 2.0ms (9.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Memory
-13.2MiB live, 73.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.3749002365565414e+106
2.4650260740358933e+107
22.0ms
125.52072151098466
6784.987135830782
Samples
30.0ms224×0valid
Compiler

Compiled 734 to 458 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sub: 9.0ms (37.3% of total)
ival-mult: 5.0ms (20.7% of total)
ival-div: 3.0ms (12.4% of total)
ival-exp: 3.0ms (12.4% of total)
ival-add: 2.0ms (8.3% of total)
ival-neg: 2.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Memory
7.8MiB live, 46.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
125.52072151098466
6784.987135830782
Samples
12.0ms112×0valid
Compiler

Compiled 328 to 220 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 2.0ms (21.9% of total)
ival-exp: 2.0ms (21.9% of total)
ival-mult: 2.0ms (21.9% of total)
ival-add: 1.0ms (11% of total)
ival-sub: 1.0ms (11% of total)
ival-neg: 1.0ms (11% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch23.0ms (0.1%)

Memory
4.9MiB live, 42.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.0006948634606635132
0.027246760168303432
Samples
13.0ms112×0valid
2.0ms18×0exit
Compiler

Compiled 216 to 157 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 3.0ms (25.9% of total)
ival-sub: 3.0ms (25.9% of total)
ival-div: 2.0ms (17.2% of total)
ival-exp: 2.0ms (17.2% of total)
ival-add: 1.0ms (8.6% of total)
ival-neg: 1.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Memory
11.0MiB live, 91.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.775210393151044e+117
1.7860358244359647e+120
21.0ms
0.0006948634606635132
0.027246760168303432
Samples
25.0ms240×0valid
2.0ms17×0exit
Compiler

Compiled 394 to 286 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 5.0ms (24.2% of total)
ival-div: 4.0ms (19.4% of total)
ival-exp: 3.0ms (14.5% of total)
ival-sub: 3.0ms (14.5% of total)
ival-add: 2.0ms (9.7% of total)
ival-neg: 2.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch58.0ms (0.4%)

Memory
-12.3MiB live, 105.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
0.06515722031326063
5317799.7222585855
19.0ms
-0.00019022807040496254
-6.366125572352276e-5
Samples
28.0ms93×1valid
14.0ms130×0valid
0.0ms2valid
Compiler

Compiled 342 to 234 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-exp: 10.0ms (28.2% of total)
ival-mult: 7.0ms (19.8% of total)
ival-div: 5.0ms (14.1% of total)
ival-sub: 4.0ms (11.3% of total)
adjust: 4.0ms (11.3% of total)
ival-neg: 3.0ms (8.5% of total)
ival-add: 3.0ms (8.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Memory
2.3MiB live, 40.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-0.00019022807040496254
-6.366125572352276e-5
Samples
8.0ms29×1valid
5.0ms51×0valid
Compiler

Compiled 94 to 74 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 3.0ms (27.2% of total)
ival-div: 2.0ms (18.1% of total)
ival-mult: 2.0ms (18.1% of total)
ival-sub: 1.0ms (9.1% of total)
ival-add: 1.0ms (9.1% of total)
adjust: 1.0ms (9.1% of total)
ival-neg: 1.0ms (9.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify21.0ms (0.1%)

Memory
-0.9MiB live, 37.6MiB allocated
Algorithm
egg-herbie
Rules
86×+-commutative_binary64
84×*-commutative_binary64
24×sub-neg_binary64
14×neg-mul-1_binary64
12×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148590
1237590
2257590
3273590
4285590
5286590
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(if (<=.f64 eps #s(literal 126 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 126 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 126 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x eps))))))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 7782220156096217/288230376151711744 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 eps #s(literal 96000000000000002220940784565014284945177380626836594122137531067476665759723369926659969693722017242546176 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))))
(if (<=.f64 eps #s(literal 90000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 eps #s(literal 71000000000000003000594772807532539086334563361516671770476478129278784475555708577846469094873046041231360 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))))
(if (<=.f64 eps #s(literal 7782220156096217/288230376151711744 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 eps #s(literal 109999999999999999828780013868097419808421497422412716029658062793568678668162428901789482256274203179220992 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))))
(if (<=.f64 eps #s(literal 126 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 eps #s(literal 27999999999999999289750411275138442263379610409908565917977850784056527089159016659021624651777784240144384 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 eps (*.f64 x x)))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.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))))
(if (<=.f64 eps #s(literal 126 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 7782220156096217/288230376151711744 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))))
(if (<=.f64 eps #s(literal 7782220156096217/288230376151711744 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 eps #s(literal 1750000000000000036677901357629586805758562065759981806722790457212636842397651500404721388892637021758937916258312519680 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) eps)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal -3504881374004815/18446744073709551616 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 1188950301625811/18014398509481984 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal -3504881374004815/18446744073709551616 binary64)) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(if (<=.f64 eps #s(literal 126 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
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#s(literal 1 binary64)

soundness2.0s (12.1%)

Memory
16.9MiB live, 1 608.6MiB allocated
Rules
16 358×accelerator-lowering-fma.f32
16 358×accelerator-lowering-fma.f64
13 502×accelerator-lowering-fma.f32
13 502×accelerator-lowering-fma.f64
12 060×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06054828
120824352
272334348
080124033
041249
1314213
23209199
08321188
044292
1314284
23303284
08242271
05415357
118054998
256654919
081844631
08489260
129548552
088058040
03083281
19952951
234392625
083912501
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 392 to 708 computations (49.1% saved)

preprocess90.0ms (0.6%)

Memory
0.6MiB live, 280.3MiB allocated
Compiler

Compiled 1 314 to 366 computations (72.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...