NMSE Section 6.1 mentioned, A

Time bar (total: 16.4s)

analyze51.0ms (0.3%)

Memory
-2.7MiB live, 36.5MiB allocated
Algorithm
1×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 (16.3%)

Memory
-121.3MiB live, 3 910.5MiB allocated
Samples
1.2s5 927×0valid
914.0ms2 329×1valid
148.0ms1 020×0exit
3.0ms22×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-exp: 413.0ms (25.1% of total)
ival-mult: 407.0ms (24.7% of total)
ival-sub: 246.0ms (14.9% of total)
ival-div: 207.0ms (12.6% of total)
ival-neg: 139.0ms (8.4% of total)
ival-add: 138.0ms (8.4% of total)
adjust: 74.0ms (4.5% of total)
exact: 12.0ms (0.7% of total)
ival-true: 8.0ms (0.5% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess383.0ms (2.3%)

Memory
4.5MiB live, 606.0MiB allocated
Algorithm
2×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
1×iter limit
1×node limit
1×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)
(fma.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
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)

explain357.0ms (2.2%)

Memory
10.2MiB live, 664.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
821(-1.1066903741778072e-36 6.4071564240107815e-15)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)))))cancellation830
Confusion
Predicted +Predicted -
+820
-1173
Precision
0.9879518072289156
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8200
-10173
Precision?
0.9879518072289156
Recall?
1.0
Freqs
test
numberfreq
0173
183
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms166×1valid
72.0ms346×0valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-sub: 32.0ms (25.1% of total)
adjust: 31.0ms (24.3% of total)
ival-exp: 24.0ms (18.8% of total)
ival-mult: 16.0ms (12.5% of total)
ival-div: 10.0ms (7.8% of total)
ival-add: 7.0ms (5.5% of total)
ival-neg: 6.0ms (4.7% of total)
exact: 1.0ms (0.8% of total)
ival-true: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.0%
(/.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)

simplify411.0ms (2.5%)

Memory
-6.8MiB live, 625.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
✓cost-diff192
(-.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-diff704
(/.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
1×iter limit
1×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)
(fma.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 0 binary64)))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 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
(exp (neg (* (- 1 eps) x)))
(exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64)))
(neg (* (- 1 eps) x))
(fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))
(* (- 1 eps) x)
(fma.f64 (-.f64 #s(literal 1 binary64) eps) x #s(literal 0 binary64))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
x
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) #s(literal 0 binary64))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(exp (neg (* (+ 1 eps) x)))
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
(neg (* (+ 1 eps) x))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))
(* (+ 1 eps) x)
(fma.f64 eps x x)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
2
#s(literal 2 binary64)

localize86.0ms (0.5%)

Memory
5.9MiB live, 157.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓accuracy69.0%
(-.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
33.0ms173×0valid
28.0ms83×1valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 11.0ms (24.1% of total)
ival-exp: 11.0ms (24.1% of total)
ival-mult: 8.0ms (17.5% of total)
ival-sub: 6.0ms (13.1% of total)
ival-add: 3.0ms (6.6% of total)
ival-neg: 3.0ms (6.6% of total)
adjust: 2.0ms (4.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-13.2MiB live, 42.4MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))>
#<alt (neg (* (- 1 eps) x))>
#<alt (* (+ 1 eps) x)>
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))>
#<alt (* (- (/ 1 eps) 1) (exp (neg (* (+ 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 (- (+ (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 (* -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 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 (* 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)) 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))>
Calls

36 calls:

TimeVariablePointExpression
10.0ms
eps
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
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)
1.0ms
x
@inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
1.0ms
x
@0
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)

rewrite451.0ms (2.7%)

Memory
-3.3MiB live, 772.6MiB allocated
Algorithm
1×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
01993
111687
291786
0891078
Stop Event
1×iter limit
1×node limit
Counts
6 → 500
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)))))
(neg (* (- 1 eps) x))
(* (+ 1 eps) x)
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
Outputs
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.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 x (+.f64 eps #s(literal -1 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.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)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.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) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)))))
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(*.f64 (/.f64 (exp.f64 (*.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) (*.f64 eps eps)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))

simplify567.0ms (3.5%)

Memory
-2.3MiB live, 1 176.3MiB allocated
Algorithm
1×egg-herbie
Rules
16 366×accelerator-lowering-fma.f32
16 366×accelerator-lowering-fma.f64
4 512×+-lowering-+.f64
4 512×+-lowering-+.f32
4 372×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02993116
19752807
234052490
083612351
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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)))
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1
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(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps x)
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(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
x
(+ x (* eps x))
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(* eps (+ x (/ x eps)))
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(* x (+ 1 eps))
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(* x (+ 1 eps))
(* x (+ 1 eps))
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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 (+ (* 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)
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
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x
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(fma.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.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)))))))))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
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(/ (exp (neg x)) eps)
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(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
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(/ (+ (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)
(/.f64 (fma.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal -1 binary64) x) (*.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 eps (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
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(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
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(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
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(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
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(- (/ 1 eps) 1)
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(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(*.f64 (fma.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 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
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(fma.f64 (fma.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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
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(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
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(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
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eval95.0ms (0.6%)

Memory
30.3MiB live, 222.2MiB allocated
Compiler

Compiled 32 832 to 2 457 computations (92.5% saved)

prune99.0ms (0.6%)

Memory
-32.0MiB live, 242.7MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6377644
Fresh000
Picked101
Done000
Total6387645
Accuracy
100.0%
Counts
645 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.5%
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
▶76.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
33.3%
(/.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))
42.0%
(/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
▶99.3%
(*.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)))))
▶60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶49.5%
#s(literal 1 binary64)
Compiler

Compiled 316 to 184 computations (41.8% saved)

simplify606.0ms (3.7%)

Memory
44.8MiB live, 1 141.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff320
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff384
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
✓cost-diff640
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
✓cost-diff1984
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓cost-diff0
(+.f64 eps #s(literal 1 binary64))
✓cost-diff320
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓cost-diff320
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
✓cost-diff2560
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
✓cost-diff0
(+.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 #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)))))
Rules
24 000×accelerator-lowering-fma.f32
24 000×accelerator-lowering-fma.f64
3 866×*-lowering-*.f32
3 866×*-lowering-*.f64
3 212×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046489
1160474
2636461
33273430
45761336
08571315
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))
1/2
(+ (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)
1
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
(+ eps 1)
eps
1
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(* (+ 1 (/ 1 eps)) (+ -1 eps))
(+ 1 (/ 1 eps))
(+ -1 eps)
(* 1/2 x)
1/2
x
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))
1/2
(* (exp (- 0 x)) (+ (+ x 2) x))
(exp (- 0 x))
(- 0 x)
0
x
(+ (+ x 2) x)
(+ x 2)
2
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))) 1)
1/2
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))
(+ eps 1)
eps
1
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))
(+ 1 (/ 1 eps))
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
(* 1/2 x)
(* (- 1 eps) (- 1 eps))
(- 1 eps)
(+ -1 eps)
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))
(* -1/2 (+ -1 (/ 1 eps)))
-1/2
(* (+ eps 1) (+ eps 1))
Outputs
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))))
(exp (* x (+ -1 eps)))
(exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
(* x (+ -1 eps))
(fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))
x
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps
(exp (* x (- -1 eps)))
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
(* x (- -1 eps))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(fma.f64 x #s(literal 0 binary64) #s(literal 1 binary64))
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
#s(literal 0 binary64)
(+ 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))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x x) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(* (exp (- 0 x)) (+ (+ x 2) x))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(exp (- 0 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ (+ x 2) x)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))
(*.f64 x (fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64)))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))
(fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(+ 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)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))
(fma.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (-.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64)) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)) eps))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* (- 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)
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))
(fma.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(* -1/2 (+ -1 (/ 1 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(* (+ eps 1) (+ eps 1))
(fma.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))

localize313.0ms (1.9%)

Memory
1.2MiB live, 675.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy93.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓accuracy93.5%
(*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))
✓accuracy89.2%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
✓accuracy50.5%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.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%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓accuracy100.0%
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓accuracy97.4%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
✓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
112.0ms170×1valid
83.0ms86×2valid
Compiler

Compiled 461 to 48 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-mult: 65.0ms (44.3% of total)
ival-add: 36.0ms (24.5% of total)
adjust: 21.0ms (14.3% of total)
ival-exp: 12.0ms (8.2% of total)
ival-sub: 7.0ms (4.8% of total)
ival-div: 4.0ms (2.7% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series77.0ms (0.5%)

Memory
-11.1MiB live, 67.5MiB allocated
Counts
23 → 408
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))>
#<alt (exp (* x (+ -1 eps)))>
#<alt (+ -1 eps)>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))>
#<alt (+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)>
#<alt (* (+ 1 (/ 1 eps)) (+ -1 eps))>
#<alt (+ eps 1)>
#<alt (* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))>
#<alt (* (exp (- 0 x)) (+ (+ x 2) x))>
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))>
#<alt (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))>
#<alt (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))>
#<alt (* -1/2 (+ -1 (/ 1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (* x (+ -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* 1/2 x)>
#<alt (+ (+ x 2) x)>
#<alt (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))>
#<alt (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -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)))))>
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#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (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)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (/ x eps))>
#<alt (/ (+ (* -1/2 x) (* -1/2 (* eps x))) eps)>
#<alt (/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))) eps)>
#<alt (/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* 1/2 x) (* 1/2 (* eps x))))))) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) 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 (- (* 1/2 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)))>
Calls

102 calls:

TimeVariablePointExpression
17.0ms
eps
@0
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))
5.0ms
eps
@-inf
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
4.0ms
eps
@0
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
1.0ms
eps
@-inf
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
1.0ms
x
@0
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))

rewrite708.0ms (4.3%)

Memory
-19.8MiB live, 761.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 816×/-lowering-/.f32
3 816×/-lowering-/.f64
3 246×*-lowering-*.f32
3 246×*-lowering-*.f64
3 182×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043270
1308258
23232258
08452249
Stop Event
1×iter limit
1×node limit
Counts
23 → 709
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))
(exp (* x (+ -1 eps)))
(+ -1 eps)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(* (+ 1 (/ 1 eps)) (+ -1 eps))
(+ eps 1)
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))
(* (exp (- 0 x)) (+ (+ x 2) x))
(exp (- 0 x))
(- 0 x)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))
(* -1/2 (+ -1 (/ 1 eps)))
(* x (- -1 eps))
(* x (+ -1 eps))
(exp (* x (- -1 eps)))
(* 1/2 x)
(+ (+ x 2) x)
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) 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 (+.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #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 (neg.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))) (neg.f64 (-.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 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(*.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 (+.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 (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 (*.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 (/.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 (*.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))))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64) (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 #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 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
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simplify428.0ms (2.6%)

Memory
-2.5MiB live, 771.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 442×accelerator-lowering-fma.f32
11 442×accelerator-lowering-fma.f64
4 692×*-lowering-*.f32
4 692×*-lowering-*.f64
3 788×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05894797
119764390
266274295
085804085
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
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)))))
-1
(- eps 1)
(- eps 1)
(- eps 1)
eps
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
eps
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(/ -1 eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
eps
(* eps (- 1 (/ 1 (pow eps 2))))
(* eps (- 1 (/ 1 (pow eps 2))))
(* eps (- 1 (/ 1 (pow eps 2))))
eps
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
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 (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) 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 (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (+ (* -1/2 x) (* 1/2 x)) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (* -1 x))))))))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (+ (* -1 x) (* eps x)))))))))) eps)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (/ x eps))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps)))))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (/ x eps)))))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 x)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) 1) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) eps))))
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* 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))))
(+ (* 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))))
(+ (* 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))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))
(* -1 (* x (+ (* -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)))))))
(* -1 (* x (+ (* -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)))))))
(* -1 (* x (+ (* -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)))))))
(/ (- (+ (* -1/2 x) (* 1/2 x)) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (* -1 x)))))))))) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))))))) 1) eps)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (+ (/ 1 eps) (/ x eps))))))))
(* (pow eps 2) (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (+ (/ 1 eps) (/ x eps))))))))) (/ 1 (pow eps 3))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (* -1 x)) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) 1) eps))))
(* (+ 1 (/ 1 eps)) (- eps 1))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))
(* -1 (* x (+ (* -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)))))))
(* -1 (* x (+ (* -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)))))))
(* -1 (* x (+ (* -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)))))))
(/ -1/2 eps)
(/ (- (* -1/2 eps) 1/2) eps)
(/ (- (* eps (- (* 1/2 eps) 1/2)) 1/2) eps)
(/ (- (* eps (- (* eps (+ 1/2 (* 1/2 eps))) 1/2)) 1/2) eps)
(* 1/2 (pow eps 2))
(* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ 1/2 (* 1/2 (/ 1 eps))) (/ 1/2 (pow eps 2))))
(* (pow eps 2) (+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) (pow eps 2))) (* 1/2 (/ 1 eps)))))
(* 1/2 (pow eps 2))
(* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) eps))))
(* (pow eps 2) (+ 1/2 (* -1 (/ (- (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 eps))) 1/2) eps))))
(/ -1/2 eps)
(/ (- (* 1/2 eps) 1/2) eps)
(/ (- (* 1/2 eps) 1/2) eps)
(/ (- (* 1/2 eps) 1/2) eps)
1/2
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
1/2
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 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 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))))
(* 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 (* -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)))
(* 1/2 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)
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (/ x eps))
(/ (+ (* -1/2 x) (* -1/2 (* eps x))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* 1/2 x) (* 1/2 (* eps x))))))) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) eps)) (* 1/2 x)))
(- eps 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)
(* 1/2 (* x (pow (- 1 eps) 2)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* 1/2 (* x (pow (- 1 eps) 2)))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(- (* 1/2 x) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #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)))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.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))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
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1
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(* 1/2 x)
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2
#s(literal 2 binary64)
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(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x eps)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps eps)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x (*.f64 eps eps)) (/.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x eps)))))
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(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x eps) (*.f64 x #s(literal -1/2 binary64))) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (/.f64 x eps)) eps) (*.f64 x #s(literal -1/2 binary64))) eps)))
(- eps 1)
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(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
(fma.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 eps #s(literal -1 binary64)))
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
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(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
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(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) eps))))
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(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps) (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) eps))))

eval270.0ms (1.6%)

Memory
36.2MiB live, 532.8MiB allocated
Compiler

Compiled 60 296 to 4 862 computations (91.9% saved)

prune178.0ms (1.1%)

Memory
-1.2MiB live, 367.1MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1 395231 418
Fresh202
Picked415
Done000
Total1 401241 425
Accuracy
100.0%
Counts
1 425 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.0%
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
▶48.6%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
60.1%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
49.2%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶48.6%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
76.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
▶77.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
76.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
77.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
13.5%
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
14.1%
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶46.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
63.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64))))
72.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
▶87.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
63.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
48.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
60.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
49.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
70.8%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓49.5%
#s(literal 1 binary64)
Compiler

Compiled 931 to 567 computations (39.1% saved)

simplify443.0ms (2.7%)

Memory
-11.7MiB live, 819.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))
✓cost-diff192
(fma.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))))
✓cost-diff192
(fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))
✓cost-diff384
(+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff64
(fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
✓cost-diff192
(fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
✓cost-diff192
(*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps)))
✓cost-diff384
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))
✓cost-diff0
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
15 424×accelerator-lowering-fma.f32
15 424×accelerator-lowering-fma.f64
4 424×+-lowering-+.f64
4 424×+-lowering-+.f32
3 362×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064652
1224646
2796556
33047523
45077488
08313449
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
x
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
(+ (* x (* x -1/2)) 1)
x
(* x -1/2)
-1/2
1
(+ (* (* x x) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(* x x)
x
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
(+ (* x -1/8) 1/3)
-1/8
1/3
-1/2
1
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)))) 1)
1/2
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps))
(+ eps 1)
eps
1
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)
(+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1)
(+ (* eps (+ (* x eps) 1)) (- 0 x))
(+ (* x eps) 1)
(- 0 x)
0
(* 1/2 (+ (* x (+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps))))) 2))
1/2
(+ (* x (+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps))))) 2)
x
(+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps))))
eps
(+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps)))
(+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))
(+ 1 eps)
1
(* (+ eps -1) (+ eps -1))
(+ eps -1)
-1
(* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6))))
(+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))
(* (+ 1 eps) (+ 1 eps))
(* (+ 1 eps) -1/6)
-1/6
(* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6))
(* (+ eps -1) 1/6)
1/6
(+ -1 (- -1 eps))
(- -1 eps)
2
Outputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps #s(literal 0 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (fma.f64 x eps #s(literal 0 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))))
(exp (* x eps))
(exp.f64 (fma.f64 x eps #s(literal 0 binary64)))
(* x eps)
(fma.f64 x eps #s(literal 0 binary64))
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
(* x (- -1 eps))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ (* x (* x -1/2)) 1)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* (* x x) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/8) 1/3)
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
-1/8
#s(literal -1/8 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x eps) (fma.f64 (fma.f64 x eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)))
(fma.f64 (/.f64 x eps) (fma.f64 (fma.f64 x eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps))
(+.f64 (/.f64 (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) 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)
(/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)
(/.f64 (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) eps)
(+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1)
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))
(+ (* eps (+ (* x eps) 1)) (- 0 x))
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(+ (* x eps) 1)
(fma.f64 x eps #s(literal 1 binary64))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(* 1/2 (+ (* x (+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps))))) 2))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* x (+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps))))) 2)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) #s(literal -2 binary64)) #s(literal 2 binary64))
x
(+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) #s(literal -2 binary64))
eps
(+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps)))
(-.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) #s(literal -2 binary64)) eps)
(+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))))))
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 eps (+.f64 eps eps) #s(literal 0 binary64)))))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (+ eps -1) (+ eps -1))
(fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6))))
(*.f64 x (fma.f64 (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))
(+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))
(fma.f64 (fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))
(* (+ 1 eps) (+ 1 eps))
(fma.f64 eps (+.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(* (+ 1 eps) -1/6)
(fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6))
(*.f64 (fma.f64 eps (+.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))
(* (+ eps -1) 1/6)
(fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ -1 (- -1 eps))
(-.f64 #s(literal -2 binary64) eps)
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
2
#s(literal 2 binary64)

localize560.0ms (3.4%)

Memory
4.1MiB live, 419.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy93.7%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))
✓accuracy93.4%
(*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))
✓accuracy86.9%
(+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))
✓accuracy71.7%
(fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))
✓accuracy99.9%
(fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
✓accuracy99.5%
(*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps)))
✓accuracy90.9%
(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps)
✓accuracy50.5%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (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))
✓accuracy99.9%
(exp.f64 (*.f64 x eps))
Samples
311.0ms139×1valid
75.0ms29×2valid
64.0ms66×1exit
9.0ms22×0valid
Compiler

Compiled 618 to 66 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 416.0ms
ival-mult: 226.0ms (54.3% of total)
ival-add: 81.0ms (19.5% of total)
const: 53.0ms (12.7% of total)
adjust: 23.0ms (5.5% of total)
ival-sub: 19.0ms (4.6% of total)
ival-exp: 7.0ms (1.7% of total)
ival-div: 6.0ms (1.4% of total)
exact: 1.0ms (0.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.4%)

Memory
-16.9MiB live, 23.7MiB allocated
Counts
23 → 444
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))>
#<alt (exp (* x eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (+ (* x (* x -1/2)) 1)>
#<alt (* x -1/2)>
#<alt (+ (* (* x x) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)>
#<alt (* x x)>
#<alt (+ (* x (+ (* x -1/8) 1/3)) -1/2)>
#<alt (+ (* x -1/8) 1/3)>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps))>
#<alt (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)))>
#<alt (+ (* eps (+ (* x eps) 1)) (- 0 x))>
#<alt (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1)>
#<alt (+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps))))>
#<alt (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))>
#<alt (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))>
#<alt (+ -1 (- -1 eps))>
#<alt (* x (- -1 eps))>
#<alt (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)>
#<alt (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))>
#<alt (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6))))>
#<alt (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps)))>
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 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (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)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 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 (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/8))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/8 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/8 x))) 1/2)>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/8 x))>
#<alt (+ 1/3 (* -1/8 x))>
#<alt (+ 1/3 (* -1/8 x))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))>
#<alt (- (+ eps (+ (* x (- (pow eps 2) 1)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps))>
#<alt (- (+ eps (+ (* x (- (pow eps 2) 1)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps))>
#<alt (- (+ eps (+ (* x (- (pow eps 2) 1)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (+ (/ eps x) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) (+ 1 (/ 1 (* eps x)))))>
#<alt (* x (- (+ (/ eps x) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) (+ 1 (/ 1 (* eps x)))))>
#<alt (* x (- (+ (/ eps x) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) (+ 1 (/ 1 (* eps x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt (* x (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)))>
#<alt (* x (- (+ eps (+ (* x (- (pow eps 2) 1)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)))>
#<alt (* x (- (+ eps (+ (* x (- (pow eps 2) 1)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)))>
#<alt (* x (- (+ eps (+ (* x (- (pow eps 2) 1)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (+ (/ eps x) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) (+ 1 (/ 1 (* eps x)))))>
#<alt (* (pow x 2) (- (+ (/ eps x) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) (+ 1 (/ 1 (* eps x)))))>
#<alt (* (pow x 2) (- (+ (/ eps x) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2))) (+ 1 (/ 1 (* eps x)))))>
#<alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* (pow x 2) (- (+ (* -1 (+ 1 (* -1 (pow eps 2)))) (+ (/ eps x) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x))) (/ 1 (* eps x))))>
#<alt (* (pow x 2) (- (+ (* -1 (+ 1 (* -1 (pow eps 2)))) (+ (/ eps x) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x))) (/ 1 (* eps x))))>
#<alt (* (pow x 2) (- (+ (* -1 (+ 1 (* -1 (pow eps 2)))) (+ (/ eps x) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x))) (/ 1 (* eps x))))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* -1 x)>
#<alt (- eps x)>
#<alt (- (* eps (+ 1 (* eps x))) x)>
#<alt (- (* eps (+ 1 (* eps x))) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))>
#<alt eps>
#<alt (+ eps (* x (- (pow eps 2) 1)))>
#<alt (+ eps (* x (- (pow eps 2) 1)))>
#<alt (+ eps (* x (- (pow eps 2) 1)))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt -1>
#<alt (- (* -1 (* eps x)) 1)>
#<alt (- (* eps (+ eps (* -1 x))) 1)>
#<alt (- (* eps (+ (* -1 x) (* eps (+ 1 (* eps x))))) 1)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) (+ x (/ 1 eps)))>
#<alt (* (pow eps 3) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 3) (+ x (+ (* -1 (/ (+ x (/ 1 eps)) (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 3) x)>
#<alt (* -1 (* (pow eps 3) (- (* -1 x) (/ 1 eps))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (* -1 (/ (+ 1 (* -1 (/ x eps))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (* -1 (/ (+ 1 (* -1 (/ (+ x (/ 1 eps)) eps))) eps)))))>
#<alt (- (pow eps 2) 1)>
#<alt (- (+ (* eps (* x (- (pow eps 2) 1))) (pow eps 2)) 1)>
#<alt (- (+ (* eps (* x (- (pow eps 2) 1))) (pow eps 2)) 1)>
#<alt (- (+ (* eps (* x (- (pow eps 2) 1))) (pow eps 2)) 1)>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* x (- (+ (* eps (- (pow eps 2) 1)) (/ (pow eps 2) x)) (/ 1 x)))>
#<alt (* x (- (+ (* eps (- (pow eps 2) 1)) (/ (pow eps 2) x)) (/ 1 x)))>
#<alt (* x (- (+ (* eps (- (pow eps 2) 1)) (/ (pow eps 2) x)) (/ 1 x)))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (pow eps 2) 1) x)) (* eps (+ 1 (* -1 (pow eps 2)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (pow eps 2) 1) x)) (* eps (+ 1 (* -1 (pow eps 2)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (pow eps 2) 1) x)) (* eps (+ 1 (* -1 (pow eps 2)))))))>
#<alt (- (* x (+ 1 (* -1/3 x))) 2)>
#<alt (- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2)>
#<alt (- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2)>
#<alt (- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2)>
#<alt (* (pow eps 2) (* x (+ 1 (* -1 x))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (+ 1 (* -1 x))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt -2>
#<alt (- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2)>
#<alt (- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) 2)>
#<alt (- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) 2)>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* (pow x 2) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))) (/ 2 (pow x 2))))>
#<alt (* (pow x 2) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))) (/ 2 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x)))))>
#<alt (+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x)))))>
#<alt (+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x)))))>
#<alt (* (pow eps 2) (+ 1 (* -1 x)))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 x)))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))>
#<alt (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))>
#<alt (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))>
#<alt (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))>
#<alt (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow eps 2)))>
#<alt (+ 2 (* 2 (pow eps 2)))>
#<alt (+ 2 (* 2 (pow eps 2)))>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (+ 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (+ 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt -2>
#<alt (- (* -1 eps) 2)>
#<alt (- (* -1 eps) 2)>
#<alt (- (* -1 eps) 2)>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* 2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1 (* 2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1 (* 2 (/ 1 eps)))))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* 2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1 (* 2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1 (* 2 (/ 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 (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (/ -1 eps)>
#<alt (/ (- (* -1 (* eps x)) 1) eps)>
#<alt (/ (- (* eps (+ eps (* -1 x))) 1) eps)>
#<alt (/ (- (* eps (+ (* -1 x) (* eps (+ 1 (* eps x))))) 1) eps)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))) (/ 1 (pow eps 3))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (* -1 (/ (- (* -1 x) (/ 1 eps)) eps)) 1) eps))))>
#<alt (/ (- (pow eps 2) 1) eps)>
#<alt (- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))>
#<alt (- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))>
#<alt (- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt -1/3>
#<alt (- (* -1 (pow eps 2)) 1/3)>
#<alt (- (* -1 (pow eps 2)) 1/3)>
#<alt (- (* -1 (pow eps 2)) 1/3)>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* -1/3 x)>
#<alt (+ (* -1 (* (pow eps 2) x)) (* -1/3 x))>
#<alt (+ (* -1 (* (pow eps 2) x)) (* -1/3 x))>
#<alt (+ (* -1 (* (pow eps 2) x)) (* -1/3 x))>
#<alt (* -1 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))>
#<alt (* -1 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))>
#<alt (* -1 (+ 2 eps))>
#<alt (- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) (+ 2 eps))>
#<alt (- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) (+ 2 eps))>
#<alt (- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) (+ 2 eps))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 2 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 2 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (+ (* 2 (/ 1 x)) (/ eps x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (+ (* 2 (/ 1 x)) (/ eps x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))>
#<alt (- (* x (+ 1 (* -1/3 x))) 2)>
#<alt (- (+ (* -1 eps) (* x (+ 1 (* -1/3 x)))) 2)>
#<alt (- (+ (* eps (- (* eps (* x (+ 1 (* -1 x)))) 1)) (* x (+ 1 (* -1/3 x)))) 2)>
#<alt (- (+ (* eps (- (* eps (* x (+ 1 (* -1 x)))) 1)) (* x (+ 1 (* -1/3 x)))) 2)>
#<alt (* (pow eps 2) (* x (+ 1 (* -1 x))))>
#<alt (* (pow eps 2) (- (* x (+ 1 (* -1 x))) (/ 1 eps)))>
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (+ (/ 1 eps) (/ 2 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (+ (/ 1 eps) (/ 2 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (+ 1 (* -1 x))))>
#<alt (* (pow eps 2) (- (* x (+ 1 (* -1 x))) (/ 1 eps)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 (/ (- (* x (+ 1 (* -1/3 x))) 2) eps))) eps)) (* x (+ 1 (* -1 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 (/ (- (* x (+ 1 (* -1/3 x))) 2) eps))) eps)) (* x (+ 1 (* -1 x)))))>
Calls

111 calls:

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

rewrite853.0ms (5.2%)

Memory
-2.5MiB live, 394.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 942×accelerator-lowering-fma.f32
4 942×accelerator-lowering-fma.f64
4 600×*-lowering-*.f32
4 600×*-lowering-*.f64
2 148×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058368
1442323
24922323
08378290
Stop Event
1×iter limit
1×node limit
Counts
23 → 611
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(exp (* x (- -1 eps)))
(+ (* x (* x -1/2)) 1)
(* x -1/2)
(+ (* (* x x) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(* x x)
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
(+ (* x -1/8) 1/3)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps))
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)))
(+ (* eps (+ (* x eps) 1)) (- 0 x))
(+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1)
(+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps))))
(+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))
(+ -1 (- -1 eps))
(* x (- -1 eps))
(/ (+ (* eps (+ (* eps (+ (* x eps) 1)) (- 0 x))) -1) eps)
(+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))
(* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6))))
(+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)))))) (+ -1 (- -1 eps)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 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))))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.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 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (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 (+.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 x (+.f64 eps eps))) (-.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 x (+.f64 eps eps))) (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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.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 x (+.f64 eps eps))) (-.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))))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x 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 eps)))
(fma.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x #s(literal -1 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))))
(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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.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 x (+.f64 eps eps))) (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 x (+.f64 eps eps))) (-.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 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (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 (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 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.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 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (neg.f64 (-.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))) (exp.f64 (*.f64 x (+.f64 eps eps)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.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))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) #s(literal -1 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 1 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.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 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 (*.f64 x eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) x))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 x) (+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) eps)
(*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(*.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)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (-.f64 #s(literal -1 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps))) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal 1 binary64))))
(/.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x eps)))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal -1 binary64)))))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) x)
(pow.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) eps)))
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64)))) (+.f64 eps #s(literal 1 binary64)))
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simplify718.0ms (4.4%)

Memory
25.5MiB live, 498.5MiB allocated
Algorithm
1×egg-herbie
Rules
13 212×accelerator-lowering-fma.f32
13 212×accelerator-lowering-fma.f64
5 760×*-lowering-*.f32
5 760×*-lowering-*.f64
3 350×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04895707
116635450
255025325
082124977
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
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))))
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2
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(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (* -1 (/ (- (* -1 x) (/ 1 eps)) eps)) 1) eps))))
(/ (- (pow eps 2) 1) eps)
(- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))
(- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))
(- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))
(* x (- (pow eps 2) 1))
(* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))
(* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))
(* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))
-1/3
(- (* -1 (pow eps 2)) 1/3)
(- (* -1 (pow eps 2)) 1/3)
(- (* -1 (pow eps 2)) 1/3)
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* -1/3 x)
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x))
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x))
(+ (* -1 (* (pow eps 2) x)) (* -1/3 x))
(* -1 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))
(* -1 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -1 x) (* -1/3 (/ x (pow eps 2)))))
(* -1 (+ 2 eps))
(- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) (+ 2 eps))
(- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) (+ 2 eps))
(- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) (+ 2 eps))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))
(* (pow x 2) (+ (* -1 (/ (+ 2 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))))
(* (pow x 2) (+ (* -1 (/ (+ 2 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (+ (* 2 (/ 1 x)) (/ eps x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (+ (* 2 (/ 1 x)) (/ eps x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))
(- (* x (+ 1 (* -1/3 x))) 2)
(- (+ (* -1 eps) (* x (+ 1 (* -1/3 x)))) 2)
(- (+ (* eps (- (* eps (* x (+ 1 (* -1 x)))) 1)) (* x (+ 1 (* -1/3 x)))) 2)
(- (+ (* eps (- (* eps (* x (+ 1 (* -1 x)))) 1)) (* x (+ 1 (* -1/3 x)))) 2)
(* (pow eps 2) (* x (+ 1 (* -1 x))))
(* (pow eps 2) (- (* x (+ 1 (* -1 x))) (/ 1 eps)))
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (+ (/ 1 eps) (/ 2 (pow eps 2)))))
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (+ (/ 1 eps) (/ 2 (pow eps 2)))))
(* (pow eps 2) (* x (+ 1 (* -1 x))))
(* (pow eps 2) (- (* x (+ 1 (* -1 x))) (/ 1 eps)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 (/ (- (* x (+ 1 (* -1/3 x))) 2) eps))) eps)) (* x (+ 1 (* -1 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 (/ (- (* x (+ 1 (* -1/3 x))) 2) eps))) eps)) (* x (+ 1 (* -1 x)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(* 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))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))) (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (exp.f64 (-.f64 #s(literal 0 binary64) 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)))))))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)))
(* 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)))))
(fma.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))))))))
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (+.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)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ (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 #s(literal 1 binary64) (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))) (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (exp.f64 (-.f64 #s(literal 0 binary64) 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)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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))
(fma.f64 x eps #s(literal 1 binary64))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)) eps) #s(literal 1 binary64))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) #s(literal 1 binary64))
(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))
(fma.f64 x eps #s(literal 1 binary64))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)) eps) #s(literal 1 binary64))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) x) #s(literal 1 binary64))
(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 (* -1 (* x (+ 1 eps))))
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(*.f64 (*.f64 eps eps) (+.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 eps eps))) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1 binary64) eps)))
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (+ (/ 1 eps) (/ 2 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 eps eps))) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1 binary64) eps)))
(* (pow eps 2) (* x (+ 1 (* -1 x))))
(*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))
(* (pow eps 2) (- (* x (+ 1 (* -1 x))) (/ 1 eps)))
(*.f64 eps (fma.f64 x (*.f64 eps (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 (/ (- (* x (+ 1 (* -1/3 x))) 2) eps))) eps)) (* x (+ 1 (* -1 x)))))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) eps)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 (/ (- (* x (+ 1 (* -1/3 x))) 2) eps))) eps)) (* x (+ 1 (* -1 x)))))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) eps)) eps)))

eval241.0ms (1.5%)

Memory
-5.1MiB live, 307.3MiB allocated
Compiler

Compiled 46 377 to 3 590 computations (92.3% saved)

prune232.0ms (1.4%)

Memory
-11.7MiB live, 306.9MiB allocated
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New1 031241 055
Fresh81018
Picked235
Done011
Total1 041381 079
Accuracy
100.0%
Counts
1 079 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶13.4%
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓48.6%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
60.1%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
68.7%
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓48.6%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
47.4%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
59.4%
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
54.7%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
41.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
52.4%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
44.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64))) eps))) #s(literal 1 binary64))
55.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
▶77.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
76.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
13.5%
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
▶14.1%
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
46.5%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
46.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
56.8%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
61.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
61.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
46.6%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
46.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
46.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
63.5%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
46.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
▶49.2%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
63.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
✓87.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
72.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
▶48.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
49.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
70.8%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓49.5%
#s(literal 1 binary64)
Compiler

Compiled 2 062 to 1 074 computations (47.9% saved)

simplify360.0ms (2.2%)

Memory
-4.3MiB live, 728.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
✓cost-diff0
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff192
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
✓cost-diff704
(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓cost-diff3392
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
✓cost-diff512
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
✓cost-diff128
(-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x)
✓cost-diff1088
(/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)
Rules
9 958×accelerator-lowering-fma.f32
9 958×accelerator-lowering-fma.f64
3 876×*-lowering-*.f32
3 876×*-lowering-*.f64
1 974×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054301
1176264
2519226
32118220
46128219
08399193
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* 1/2 (* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))) 1)
1/2
(* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))
x
(/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps)
(+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0)
eps
(- (+ (* x (* eps eps)) 0) x)
(+ (* x (* eps eps)) 0)
(* eps eps)
0
1
(* 1/2 (+ (* x -2) 2))
1/2
(+ (* x -2) 2)
x
-2
2
(* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))
1/2
(* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x))
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
x
(+ (* x (+ (* x -1/6) 1/2)) -1)
(+ (* x -1/6) 1/2)
-1/6
-1
1
(+ (+ x 2) x)
(+ x 2)
2
(+ (* (/ (- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))) (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0))))) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(/ (- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))) (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0)))))
(- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0))))
0
(* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))
(* x (+ (* x x) 0))
x
(+ (* x x) 0)
(+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0))))
(+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0)))
(* 0 (+ (* x x) 0))
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
(+ (* x -1/8) 1/3)
-1/8
1/3
-1/2
1
(* x (exp (- 0 x)))
x
(exp (- 0 x))
(- 0 x)
0
Outputs
(+ (* 1/2 (* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))
(fma.f64 x (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps)
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0)
(fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
eps
(- (+ (* x (* eps eps)) 0) x)
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* x (* eps eps)) 0)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* eps eps)
(*.f64 eps eps)
0
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* 1/2 (+ (* x -2) 2))
(-.f64 #s(literal 1 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ (* x -2) 2)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x x) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
x
(+ (* x (+ (* x -1/6) 1/2)) -1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* x -1/6) 1/2)
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ (+ x 2) x)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (/ (- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))) (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0))))) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(/ (- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))) (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0))))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* x x) 0))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
(+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 0 (+ (* x x) 0))
#s(literal 0 binary64)
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/8) 1/3)
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
-1/8
#s(literal -1/8 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(* x (exp (- 0 x)))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
x
(exp (- 0 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)

localize164.0ms (1%)

Memory
23.0MiB live, 451.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
✓accuracy99.9%
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
✓accuracy99.8%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓accuracy81.2%
(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓accuracy17.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))))
✓accuracy100.0%
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
✓accuracy100.0%
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
✓accuracy99.9%
(fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64))
✓accuracy98.1%
(*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps))
✓accuracy91.0%
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
✓accuracy76.6%
(/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)
Samples
87.0ms256×0valid
Compiler

Compiled 347 to 56 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 32.0ms (49% of total)
ival-add: 17.0ms (26% of total)
const: 7.0ms (10.7% of total)
ival-div: 3.0ms (4.6% of total)
ival-sub: 3.0ms (4.6% of total)
ival-exp: 2.0ms (3.1% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
-1.4MiB live, 81.4MiB allocated
Counts
23 → 348
Calls
Call 1
Inputs
#<alt (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps)>
#<alt (- (+ (* x (* eps eps)) 0) x)>
#<alt (+ (* 1/2 (* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))) 1)>
#<alt (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0)>
#<alt (* 1/2 (+ (* x -2) 2))>
#<alt (+ (* x -2) 2)>
#<alt (* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))>
#<alt (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x))>
#<alt (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)>
#<alt (+ (* x (+ (* x -1/6) 1/2)) -1)>
#<alt (/ (- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))) (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0)))))>
#<alt (* 0 (+ (* x x) 0))>
#<alt (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0))))>
#<alt (+ (* (/ (- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))) (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0))))) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)>
#<alt (* x (exp (- 0 x)))>
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (+ (* x (* eps eps)) 0)>
#<alt (* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))>
#<alt (+ (* x -1/6) 1/2)>
#<alt (+ (+ x 2) x)>
#<alt (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0)))>
#<alt (* x (+ (* x x) 0))>
Outputs
#<alt (* -1 x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (* 1/2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) x)>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 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 (* -1/6 x))) 1/2)))>
#<alt (* -1/6 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/6 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/6 (/ 1/2 (pow x 2)))))>
#<alt (* -1/6 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/6))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/6))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))>
#<alt (* (pow x 4) (- (* -1 (/ (- (/ 1 x) 2/3) x)) 1/3))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3) x)) 1/3))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 (- (* 1/8 x) 1/3)))))>
#<alt (* 1/8 (pow x 4))>
#<alt (* (pow x 4) (- 1/8 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/8 (/ 1/2 (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/8 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 4)))) (* 1/3 (/ 1 x))))>
#<alt (* 1/8 (pow x 4))>
#<alt (* (pow x 4) (- 1/8 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/8 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/8 (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x))) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (* x (exp (neg x)))>
#<alt (* x (exp (neg x)))>
#<alt (* x (exp (neg x)))>
#<alt (* x (exp (neg x)))>
#<alt (* x (exp (* -1 x)))>
#<alt (* x (exp (* -1 x)))>
#<alt (* x (exp (* -1 x)))>
#<alt (* x (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

87 calls:

TimeVariablePointExpression
12.0ms
x
@inf
(* x (exp (- 0 x)))
3.0ms
eps
@-inf
(+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0)
1.0ms
eps
@inf
(+ (* 1/2 (* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))) 1)
1.0ms
x
@-inf
(* x (exp (- 0 x)))
0.0ms
x
@0
(/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps)

rewrite428.0ms (2.6%)

Memory
10.1MiB live, 812.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 466×*-lowering-*.f32
5 466×*-lowering-*.f64
4 190×accelerator-lowering-fma.f32
4 190×accelerator-lowering-fma.f64
3 362×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054212
1420182
23932182
09834165
Stop Event
1×iter limit
1×node limit
Counts
23 → 670
Calls
Call 1
Inputs
(/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps)
(- (+ (* x (* eps eps)) 0) x)
(+ (* 1/2 (* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))) 1)
(+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0)
(* 1/2 (+ (* x -2) 2))
(+ (* x -2) 2)
(* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))
(* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x))
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
(+ (* x (+ (* x -1/6) 1/2)) -1)
(/ (- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))) (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0)))))
(* 0 (+ (* x x) 0))
(+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0))))
(+ (* (/ (- 0 (* (* x (+ (* x x) 0)) (* x (+ (* x x) 0)))) (+ 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0))))) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(* x (exp (- 0 x)))
(exp (- 0 x))
(- 0 x)
(+ (* x (* eps eps)) 0)
(* x (/ (+ (* eps (- (+ (* x (* eps eps)) 0) x)) 0) eps))
(+ (* x -1/6) 1/2)
(+ (+ x 2) x)
(+ (* (+ (* x x) 0) (+ (* x x) 0)) (* 0 (+ (* x x) 0)))
(* x (+ (* x x) 0))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) eps)))
(neg.f64 (/.f64 (fma.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64)) eps))
(/.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) eps)
(/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (fma.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) eps))
(/.f64 (*.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) eps))
(/.f64 (neg.f64 (fma.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) eps)))
(/.f64 (*.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (*.f64 (fma.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)))
(pow.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (/.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) eps))
(*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 eps eps))
(*.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 eps eps)))
(*.f64 (fma.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 eps (fma.f64 (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 eps (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)))
(-.f64 (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)) x)
(-.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 eps (*.f64 eps eps))) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64))) (*.f64 x (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64))) (*.f64 x (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)))
(fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x (*.f64 eps eps) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal -1 binary64) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)))
(fma.f64 (*.f64 eps eps) x (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -2 binary64)) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) x (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 eps (*.f64 eps eps))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 eps (*.f64 eps x) #s(literal 0 binary64)))
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(+.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) x #s(literal 0 binary64))
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(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
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(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
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(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
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(/.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) x)
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 3/2 binary64)))

simplify406.0ms (2.5%)

Memory
-17.0MiB live, 702.9MiB allocated
Algorithm
1×egg-herbie
Rules
10 380×accelerator-lowering-fma.f32
10 380×accelerator-lowering-fma.f64
3 890×*-lowering-*.f32
3 890×*-lowering-*.f64
2 966×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02572294
17612243
221222212
350972170
083142003
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* -1 x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
1
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(* 1/2 (* (pow x 2) (- (pow eps 2) 1)))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* (pow eps 3) x)
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) x)
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 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 (* -1/6 x))) 1/2)))
(* -1/6 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/6 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/6 (/ 1/2 (pow x 2)))))
(* -1/6 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/6))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/6))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 2/3) x)) 1/3))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3) x)) 1/3))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
0
0
0
0
0
0
0
0
0
0
0
0
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/3 x))))
(+ 1 (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))))
(* 1/8 (pow x 4))
(* (pow x 4) (- 1/8 (* 1/3 (/ 1 x))))
(* (pow x 4) (- (+ 1/8 (/ 1/2 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 4) (- (+ 1/8 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 4)))) (* 1/3 (/ 1 x))))
(* 1/8 (pow x 4))
(* (pow x 4) (- 1/8 (* 1/3 (/ 1 x))))
(* (pow x 4) (+ 1/8 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/8 (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x))) x))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- (* 1/2 x) 1))))
(* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(* x (exp (neg x)))
(* x (exp (neg x)))
(* x (exp (neg x)))
(* x (exp (neg x)))
(* x (exp (* -1 x)))
(* x (exp (* -1 x)))
(* x (exp (* -1 x)))
(* x (exp (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* (pow eps 2) x) x)
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(- (* (pow eps 2) x) x)
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(- (* (pow eps 2) x) x)
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* (pow eps 2) x) x)
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(- (* (pow eps 2) x) x)
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(- (* (pow eps 2) x) x)
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* 1/2 (* (pow x 2) (- (pow eps 2) 1)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* (pow eps 3) x)
(fma.f64 (*.f64 eps eps) (*.f64 x eps) #s(literal 0 binary64))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* (pow eps 3) x)
(fma.f64 (*.f64 eps eps) (*.f64 x eps) #s(literal 0 binary64))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (* x (- (pow eps 2) 1)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (* x (- (pow eps 2) 1)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (* x (- (pow eps 2) 1)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (* x (- (pow eps 2) 1)))
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(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow eps 2) x)
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
(* (pow x 2) (- (pow eps 2) 1))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (pow eps 2) 1))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (pow eps 2) 1))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (pow eps 2) 1))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (pow eps 2) 1))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (pow eps 2) 1))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (pow eps 2) 1))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (pow eps 2) 1))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow eps 2) (pow x 2))
(fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow eps 2) (pow x 2))
(fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))

eval141.0ms (0.9%)

Memory
18.6MiB live, 323.0MiB allocated
Compiler

Compiled 35 542 to 3 034 computations (91.5% saved)

prune203.0ms (1.2%)

Memory
-3.9MiB live, 368.8MiB allocated
Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New1 054201 074
Fresh111829
Picked505
Done134
Total1 071411 112
Accuracy
100.0%
Counts
1 112 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.7%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
48.6%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
56.8%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
13.4%
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
14.5%
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
68.7%
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
79.0%
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
✓48.6%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
60.1%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
61.8%
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
47.4%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
73.6%
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
18.4%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
51.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
75.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
76.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
77.6%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
49.2%
(-.f64 #s(literal 1 binary64) x)
2.9%
(-.f64 #s(literal 0 binary64) x)
13.5%
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
13.8%
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
14.1%
(*.f64 x (exp.f64 (neg.f64 x)))
33.1%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
46.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
61.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
61.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
46.6%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
63.5%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
46.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
63.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
✓87.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
72.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
48.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
60.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
49.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
70.8%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
3.2%
x
✓49.5%
#s(literal 1 binary64)
Compiler

Compiled 2 673 to 884 computations (66.9% saved)

regimes95.0ms (0.6%)

Memory
-0.2MiB live, 196.8MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64))) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 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) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(*.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)))))
Calls

4 calls:

23.0ms
x
22.0ms
eps
19.0ms
(-.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)))))
18.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
99.3%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.3%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes55.0ms (0.3%)

Memory
-1.1MiB live, 118.1MiB allocated
Counts
73 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64))) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #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)))))
Calls

2 calls:

22.0ms
eps
21.0ms
x
Results
AccuracySegmentsBranch
87.9%1x
100.0%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory
-11.8MiB live, 66.6MiB allocated
Counts
72 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64))) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
Calls

1 calls:

21.0ms
eps
Results
AccuracySegmentsBranch
92.9%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.2%)

Memory
-13.9MiB live, 71.8MiB allocated
Counts
65 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64))) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
Calls

1 calls:

19.0ms
eps
Results
AccuracySegmentsBranch
92.9%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory
34.0MiB live, 72.4MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64))) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
Calls

1 calls:

19.0ms
eps
Results
AccuracySegmentsBranch
92.6%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory
-6.3MiB live, 70.3MiB allocated
Counts
62 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64))) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
Calls

1 calls:

19.0ms
eps
Results
AccuracySegmentsBranch
92.6%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory
14.7MiB live, 55.1MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) (*.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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)))) (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
Calls

1 calls:

20.0ms
eps
Results
AccuracySegmentsBranch
90.9%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.2%)

Memory
-0.3MiB live, 75.7MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 (*.f64 x (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) x) #s(literal -1 binary64))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x) (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x))) eps) (*.f64 (fma.f64 eps eps #s(literal 1 binary64)) x)) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x (fma.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.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 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
Outputs
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
Calls

2 calls:

16.0ms
x
14.0ms
eps
Results
AccuracySegmentsBranch
80.6%2x
79.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory
-16.3MiB live, 61.7MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
Calls

2 calls:

14.0ms
eps
11.0ms
x
Results
AccuracySegmentsBranch
77.6%1eps
79.5%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-10.8MiB live, 28.1MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
79.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory
9.6MiB live, 48.9MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))) x (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
Calls

2 calls:

9.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
76.5%1eps
78.4%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
78.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-9.4MiB live, 29.9MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
76.5%1eps
76.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-12.6MiB live, 29.9MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

2 calls:

7.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
68.3%2x
61.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
66.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
-23.8MiB live, 15.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
Outputs
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
66.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
61.8%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
17.6MiB live, 17.6MiB allocated
Accuracy

Total -30.7b remaining (-95.1%)

Threshold costs -30.7b (-95.1%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
49.5%1eps
49.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.2%)

Memory
0.7MiB live, 79.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
2.5842831967775054e-13
0.1182230213065998
Samples
17.0ms160×0valid
2.0ms14×0exit
Compiler

Compiled 334 to 254 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 4.0ms (28.2% of total)
ival-div: 2.0ms (14.1% of total)
ival-exp: 2.0ms (14.1% of total)
ival-add: 2.0ms (14.1% of total)
ival-sub: 2.0ms (14.1% of total)
ival-neg: 1.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch73.0ms (0.4%)

Memory
-25.3MiB live, 104.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
6.383729315556585e+121
9.158317502408061e+125
48.0ms
2.5842831967775054e-13
0.1182230213065998
Samples
32.0ms288×0valid
2.0ms15×0exit
Compiler

Compiled 592 to 444 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 7.0ms (26.8% of total)
ival-div: 5.0ms (19.1% of total)
ival-exp: 4.0ms (15.3% of total)
ival-sub: 4.0ms (15.3% of total)
ival-add: 3.0ms (11.5% of total)
ival-neg: 3.0ms (11.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch54.0ms (0.3%)

Memory
16.7MiB live, 97.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
6.383729315556585e+121
9.158317502408061e+125
28.0ms
2.5842831967775054e-13
0.1182230213065998
Samples
33.0ms288×0valid
4.0ms19×0exit
Compiler

Compiled 592 to 444 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 7.0ms (24.6% of total)
ival-mult: 7.0ms (24.6% of total)
ival-exp: 4.0ms (14% of total)
ival-sub: 4.0ms (14% of total)
ival-add: 3.0ms (10.5% of total)
ival-neg: 3.0ms (10.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Memory
-23.9MiB live, 53.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
6.0ms
6.383729315556585e+121
9.158317502408061e+125
20.0ms
11655777241.737188
4307937402516534.0
Samples
20.0ms176×0valid
Compiler

Compiled 286 to 227 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 4.0ms (25.4% of total)
ival-div: 3.0ms (19% of total)
ival-exp: 2.0ms (12.7% of total)
ival-add: 2.0ms (12.7% of total)
ival-sub: 2.0ms (12.7% of total)
ival-neg: 2.0ms (12.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch49.0ms (0.3%)

Memory
12.2MiB live, 92.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
6.383729315556585e+121
9.158317502408061e+125
22.0ms
11655777241.737188
4307937402516534.0
Samples
32.0ms272×0valid
Compiler

Compiled 468 to 343 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 6.0ms (23.8% of total)
ival-sub: 6.0ms (23.8% of total)
ival-div: 4.0ms (15.8% of total)
ival-exp: 4.0ms (15.8% of total)
ival-add: 2.0ms (7.9% of total)
ival-neg: 2.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch40.0ms (0.2%)

Memory
-2.3MiB live, 36.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
11655777241.737188
4307937402516534.0
Samples
32.0ms144×0valid
Compiler

Compiled 304 to 204 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-sub: 18.0ms (64.2% of total)
ival-mult: 3.0ms (10.7% of total)
ival-div: 2.0ms (7.1% of total)
ival-exp: 2.0ms (7.1% of total)
ival-add: 1.0ms (3.6% of total)
ival-neg: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch52.0ms (0.3%)

Memory
-15.4MiB live, 62.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
0.02259550470102996
30.784634707819453
Samples
35.0ms61×1valid
7.0ms67×0valid
Compiler

Compiled 330 to 208 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sub: 19.0ms (50.6% of total)
ival-exp: 6.0ms (16% of total)
ival-mult: 4.0ms (10.6% of total)
ival-div: 3.0ms (8% of total)
ival-neg: 2.0ms (5.3% of total)
ival-add: 2.0ms (5.3% of total)
adjust: 1.0ms (2.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch39.0ms (0.2%)

Memory
23.2MiB live, 64.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
1.2690550928820032e-15
2.852602282577024e-9
Samples
19.0ms59×1valid
9.0ms85×0valid
Compiler

Compiled 358 to 231 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 7.0ms (28.8% of total)
ival-exp: 6.0ms (24.7% of total)
ival-sub: 3.0ms (12.3% of total)
ival-div: 3.0ms (12.3% of total)
ival-add: 2.0ms (8.2% of total)
ival-neg: 2.0ms (8.2% of total)
adjust: 1.0ms (4.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Memory
-5.6MiB live, 70.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
0.02259550470102996
30.784634707819453
Samples
17.0ms57×1valid
9.0ms71×0valid
Compiler

Compiled 314 to 200 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-exp: 6.0ms (27.9% of total)
ival-div: 4.0ms (18.6% of total)
ival-mult: 4.0ms (18.6% of total)
ival-sub: 3.0ms (13.9% of total)
ival-add: 2.0ms (9.3% of total)
ival-neg: 2.0ms (9.3% of total)
adjust: 1.0ms (4.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch41.0ms (0.2%)

Memory
-13.3MiB live, 80.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
30.784634707819453
62191732.39288144
Samples
19.0ms45×1valid
12.0ms99×0valid
Compiler

Compiled 313 to 213 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (42.1% of total)
ival-exp: 5.0ms (19.1% of total)
ival-sub: 3.0ms (11.5% of total)
ival-div: 3.0ms (11.5% of total)
ival-add: 2.0ms (7.7% of total)
ival-neg: 2.0ms (7.7% of total)
adjust: 1.0ms (3.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Memory
6.3MiB live, 45.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1100705460003.9897
27337647586425020.0
Samples
14.0ms128×0valid
Compiler

Compiled 250 to 168 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (29.1% of total)
ival-div: 2.0ms (19.4% of total)
ival-exp: 2.0ms (19.4% of total)
ival-sub: 2.0ms (19.4% of total)
ival-add: 1.0ms (9.7% of total)
ival-neg: 1.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch53.0ms (0.3%)

Memory
-19.7MiB live, 97.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
46.0ms
-2.3532553938064646e+21
-0.6397124608424505
Samples
24.0ms67×1valid
12.0ms109×0valid
2.0ms10×1exit
1.0ms11×0exit
Compiler

Compiled 309 to 233 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-exp: 9.0ms (28% of total)
ival-div: 6.0ms (18.7% of total)
ival-mult: 6.0ms (18.7% of total)
ival-sub: 4.0ms (12.4% of total)
adjust: 2.0ms (6.2% of total)
ival-neg: 2.0ms (6.2% of total)
ival-add: 2.0ms (6.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch70.0ms (0.4%)

Memory
16.3MiB live, 133.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
65.0ms
-2.3532553938064646e+21
-0.6397124608424505
Samples
40.0ms57×1valid
13.0ms119×0valid
3.0ms21×1exit
1.0ms6×0exit
Compiler

Compiled 265 to 200 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-exp: 29.0ms (57.5% of total)
ival-mult: 6.0ms (11.9% of total)
ival-sub: 4.0ms (7.9% of total)
ival-div: 4.0ms (7.9% of total)
adjust: 2.0ms (4% of total)
ival-neg: 2.0ms (4% of total)
ival-add: 2.0ms (4% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3.679802880214194e+41
3.68498378703906e+41
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify17.0ms (0.1%)

Memory
-7.4MiB live, 33.2MiB allocated
Algorithm
1×egg-herbie
Rules
54×*-commutative_binary64
24×+-commutative_binary64
10×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126473
1169473
2176473
3178473
4179473
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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)))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #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))))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (if (<=.f64 eps #s(literal 120000000000000009067909281637661699854361099658075726165462743261098308443235643990389112634023133120665894572357677219840 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (if (<=.f64 eps #s(literal 124999999999999997213746216425516208757248037199365197174010415332811411361229985759733319855188453960594690258868918812672 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 14200000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 eps #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 11800000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 eps #s(literal 65000000000000001853786039566971405273351068578675097277539000375386752089967521312230267892116119680335955413192826421248 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 320000000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 25 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 6769984589841923/2417851639229258349412352 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 7093169413108531/562949953421312 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 31 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 1150000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -305 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2200 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 367999999999999989902231420896261466750976 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.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)))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #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))))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #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 eps)))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (if (<=.f64 eps #s(literal 120000000000000009067909281637661699854361099658075726165462743261098308443235643990389112634023133120665894572357677219840 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (if (<=.f64 eps #s(literal 120000000000000009067909281637661699854361099658075726165462743261098308443235643990389112634023133120665894572357677219840 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps (fma.f64 eps (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (if (<=.f64 eps #s(literal 124999999999999997213746216425516208757248037199365197174010415332811411361229985759733319855188453960594690258868918812672 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (if (<=.f64 eps #s(literal 124999999999999997213746216425516208757248037199365197174010415332811411361229985759733319855188453960594690258868918812672 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps (fma.f64 eps (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 14200000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 eps #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 14200000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 eps #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps (fma.f64 eps (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 11800000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 eps #s(literal 65000000000000001853786039566971405273351068578675097277539000375386752089967521312230267892116119680335955413192826421248 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 11800000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 eps #s(literal 65000000000000001853786039566971405273351068578675097277539000375386752089967521312230267892116119680335955413192826421248 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps (fma.f64 eps (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(if (<=.f64 eps #s(literal 320000000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 eps #s(literal 320000000000 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps (fma.f64 eps (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 25 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 25 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps (fma.f64 eps (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 6769984589841923/2417851639229258349412352 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 eps x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 6769984589841923/2417851639229258349412352 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 (fma.f64 eps (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 7093169413108531/562949953421312 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 31 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 1150000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -305 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2200 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2200 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 367999999999999989902231420896261466750976 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 367999999999999989902231420896261466750976 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness2.2s (13.6%)

Memory
33.2MiB live, 1 666.5MiB allocated
Rules
16 366×accelerator-lowering-fma.f32
16 366×accelerator-lowering-fma.f64
13 212×accelerator-lowering-fma.f32
13 212×accelerator-lowering-fma.f64
11 442×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02572294
17612243
221222212
350972170
083142003
02993116
19752807
234052490
083612351
04895707
116635450
255025325
082124977
054212
1420182
23932182
09834165
058368
1442323
24922323
08378290
05894797
119764390
266274295
085804085
043270
1308258
23232258
08452249
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 965 to 490 computations (49.2% saved)

preprocess508.0ms (3.1%)

Memory
-20.4MiB live, 213.1MiB allocated
Compiler

Compiled 1 158 to 368 computations (68.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...