NMSE Section 6.1 mentioned, A

Time bar (total: 15.6s)

analyze37.0ms (0.2%)

Memory
-35.3MiB live, 37.3MiB 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)

sample2.5s (15.9%)

Memory
60.5MiB live, 3 526.7MiB allocated
Samples
862.0ms6 020×0valid
843.0ms2 235×1valid
126.0ms1 026×0exit
3.0ms17×1exit
1.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-exp: 389.0ms (26.2% of total)
ival-mult: 368.0ms (24.7% of total)
ival-div: 197.0ms (13.2% of total)
ival-sub: 182.0ms (12.2% of total)
ival-add: 121.0ms (8.1% of total)
ival-neg: 109.0ms (7.3% of total)
adjust: 99.0ms (6.7% of total)
exact: 11.0ms (0.7% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess343.0ms (2.2%)

Memory
15.1MiB live, 608.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 102×lower-fma.f64
11 102×lower-fma.f32
2 706×lower-*.f32
2 698×lower-*.f64
1 598×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053155
1168138
2524135
31740135
44682133
01929
03429
17029
216927
351327
4113027
5334325
6759125
0812323
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))))
Symmetry

(abs eps)

explain310.0ms (2%)

Memory
-16.4MiB live, 668.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
544(-7.193129171843627e-305 6.696559517741981e-6)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)))))cancellation570
-.f64(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))nan-rescue10
↳(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))overflow50
↳(*.f64 (-.f64 #s(literal 1 binary64) eps) x)overflow49
↳(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))overflow49
↳(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))overflow50
↳(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))overflow49
↳(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))overflow63
↳(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))overflow63
↳(*.f64 (+.f64 #s(literal 1 binary64) eps) x)overflow49
Confusion
Predicted +Predicted -
+540
-4198
Precision
0.9310344827586207
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5400
-40198
Precision?
0.9310344827586207
Recall?
1.0
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms400×0valid
49.0ms112×1valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-exp: 20.0ms (26.3% of total)
ival-mult: 14.0ms (18.4% of total)
ival-sub: 13.0ms (17.1% of total)
ival-div: 10.0ms (13.2% of total)
ival-add: 7.0ms (9.2% of total)
ival-neg: 5.0ms (6.6% of total)
adjust: 4.0ms (5.3% of total)
ival-true: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.5%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.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)

simplify299.0ms (1.9%)

Memory
0.1MiB live, 456.1MiB 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-diff128
(-.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×lower-fma.f64
11 102×lower-fma.f32
2 706×lower-*.f32
2 698×lower-*.f64
1 598×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019141
034141
170141
2169131
3513131
41130131
53343129
67591129
08123123
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
Outputs
(/.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))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(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 (*.f64 eps x) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 x (*.f64 eps x))
(-.f64 #s(literal 1 binary64) eps)
x
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 eps x x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)

localize71.0ms (0.5%)

Memory
-2.8MiB live, 156.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓accuracy79.5%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Samples
29.0ms200×0valid
22.0ms56×1valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 9.0ms (24.6% of total)
ival-exp: 8.0ms (21.8% of total)
ival-sub: 5.0ms (13.6% of total)
ival-div: 5.0ms (13.6% of total)
ival-neg: 4.0ms (10.9% of total)
ival-add: 3.0ms (8.2% of total)
adjust: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
3.4MiB live, 44.4MiB allocated
Counts
7 → 168
Calls
Call 1
Inputs
#<alt (/.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))>
#<alt (-.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)))))>
#<alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x)>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))>
#<alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))>
#<alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
Calls

42 calls:

TimeVariablePointExpression
4.0ms
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)

rewrite557.0ms (3.6%)

Memory
-21.3MiB live, 490.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 830×lower-fma.f64
4 830×lower-fma.f32
3 930×lower-/.f32
3 926×lower-/.f64
3 926×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019100
034100
113194
293292
0893184
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 528
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
Outputs
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #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)))
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(-.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)))
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(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
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(*.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)) (neg.f64 (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)))))
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(*.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))))
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(*.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)))))
(*.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 eps)))) (/.f64 (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 (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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (fma.f64 x (neg.f64 eps) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64)))) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x))))
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(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x)
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(pow.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 eps) x)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) (/.f64 x #s(literal 2 binary64))))

simplify660.0ms (4.2%)

Memory
48.6MiB live, 633.5MiB allocated
Algorithm
1×egg-herbie
Rules
15 874×lower-fma.f64
15 874×lower-fma.f32
4 814×lower-*.f64
4 814×lower-*.f32
4 530×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03293352
110703020
236512701
082512550
Stop Event
1×iter limit
1×node limit
Counts
168 → 167
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))))))))))
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1
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Outputs
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(fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(exp (- (* eps x) x))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(exp (- (* eps x) x))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(exp (- (* eps x) x))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(exp (- (* eps x) x))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))

eval215.0ms (1.4%)

Memory
-13.1MiB live, 203.7MiB allocated
Compiler

Compiled 34 236 to 2 620 computations (92.3% saved)

prune284.0ms (1.8%)

Memory
20.1MiB live, 209.9MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New68510695
Fresh000
Picked101
Done000
Total68610696
Accuracy
100.0%
Counts
696 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.0%
(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))
▶71.8%
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
40.8%
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
41.8%
(/.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))
35.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶57.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶36.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
▶99.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
56.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
▶38.1%
#s(literal 1 binary64)
Compiler

Compiled 578 to 320 computations (44.6% saved)

simplify832.0ms (5.3%)

Memory
-74.4MiB live, 844.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓cost-diff128
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
✓cost-diff128
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓cost-diff64
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
✓cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
✓cost-diff128
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff128
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
✓cost-diff256
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓cost-diff320
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
✓cost-diff1216
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓cost-diff0
(fma.f64 x eps (neg.f64 x))
✓cost-diff0
(exp.f64 (fma.f64 x eps (neg.f64 x)))
✓cost-diff0
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
16 262×lower-fma.f32
16 248×lower-fma.f64
3 798×lower--.f32
3 788×lower--.f64
3 604×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048612
096607
1238596
2807573
33949559
08339534
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(fma.f64 x eps (neg.f64 x))
x
eps
(neg.f64 x)
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
#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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal -1 binary64) eps)
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 x eps x)
(*.f64 (+.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 (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)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.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 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
x
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(fma.f64 x eps (neg.f64 x))
x
eps
(neg.f64 x)
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
#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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
(*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal -1 binary64) eps)
(+.f64 eps #s(literal -1 binary64))
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 eps)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(fma.f64 x eps x)
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) eps))) #s(literal 1/2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(fma.f64 x eps (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 x (*.f64 x eps))
(-.f64 #s(literal 1 binary64) eps)
x
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) eps)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.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)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal -1 binary64) eps)
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 2 binary64)

localize276.0ms (1.8%)

Memory
9.5MiB live, 603.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
✓accuracy97.4%
(fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
✓accuracy80.5%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
✓accuracy100.0%
(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))))
✓accuracy80.5%
(-.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)))
✓accuracy99.9%
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
✓accuracy97.4%
(*.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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
✓accuracy83.1%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓accuracy56.7%
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(exp.f64 (fma.f64 x eps (neg.f64 x)))
Samples
90.0ms111×1valid
44.0ms120×0valid
32.0ms25×2valid
Compiler

Compiled 650 to 56 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 44.0ms (35.2% of total)
ival-add: 22.0ms (17.6% of total)
adjust: 21.0ms (16.8% of total)
ival-exp: 14.0ms (11.2% of total)
ival-div: 9.0ms (7.2% of total)
ival-sub: 8.0ms (6.4% of total)
ival-neg: 6.0ms (4.8% of total)
exact: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series84.0ms (0.5%)

Memory
5.1MiB live, 203.9MiB allocated
Counts
25 → 576
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))>
#<alt (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))>
#<alt (exp.f64 (fma.f64 x eps (neg.f64 x)))>
#<alt (fma.f64 x eps (neg.f64 x))>
#<alt (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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))>
#<alt (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))>
#<alt (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))>
#<alt (-.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)))>
#<alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))>
#<alt (/.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))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))>
#<alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x)>
#<alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))>
#<alt (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))>
#<alt (neg.f64 x)>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))>
#<alt (*.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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))>
#<alt (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))>
#<alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) eps) x)>
#<alt (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))>
#<alt (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))>
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 (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (neg x)) (exp (* -1 x)))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) 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 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (/ (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x)) eps)>
#<alt (/ (- (+ 1 (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x))))))) (* 1/2 x)) eps)>
#<alt (/ (- (+ 1 (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (* -1/2 x) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x))))))) (* 1/2 x)) eps)>
#<alt (/ (- (+ 1 (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (+ (* -1/2 x) (* eps (- (* 1/2 x) (* -1/2 x)))) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x))))))) (* 1/2 x)) eps)>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (/ 1 (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 3))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 3))))))))) (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))))))))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ 1 (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x)) eps)))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ 1 (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x)) eps)))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (/ 1/2 eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<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 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* -1/2 (/ x eps))>
#<alt (/ (- (* -1/2 (* eps (+ (* -1 x) (* 2 x)))) (* 1/2 x)) eps)>
#<alt (/ (- (* eps (- (* -1/2 (* eps (+ x (* -2 x)))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)>
#<alt (/ (- (* eps (- (* eps (- (* 1/2 (* eps x)) (* 1/2 (+ x (* -2 x))))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* -1/2 (/ (+ x (* -2 x)) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x (pow eps 3))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/2 (/ x eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* 1/2 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ x eps)) (* 1/2 x)) eps)) (* 1/2 x)) eps)) (* -1/2 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- eps 1))))>
#<alt (+ 1 (* 1/2 (* x (- eps 1))))>
#<alt (+ 1 (* 1/2 (* x (- eps 1))))>
#<alt (* 1/2 (* x (- eps 1)))>
#<alt (* x (+ (* 1/2 (- eps 1)) (/ 1 x)))>
#<alt (* x (+ (* 1/2 (- eps 1)) (/ 1 x)))>
#<alt (* x (+ (* 1/2 (- eps 1)) (/ 1 x)))>
#<alt (* 1/2 (* x (- eps 1)))>
#<alt (* -1 (* x (- (* -1/2 (- eps 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 (- eps 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 (- eps 1)) (/ 1 x))))>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (* eps x))))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (* eps x))))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (* eps x))))>
#<alt (* 1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* 1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 x)) eps)) (* -1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 x)) eps)) (* -1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 x)) eps)) (* -1/2 x))))>
#<alt (/ (- (exp (neg x)) 1) eps)>
#<alt (/ (- (+ (exp (neg x)) (* eps (+ 1 (+ (exp (neg x)) (* x (exp (neg x))))))) 1) eps)>
#<alt (/ (- (+ (exp (neg x)) (* eps (+ 1 (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x)))))))) 1) eps)>
#<alt (/ (- (+ (exp (neg x)) (* eps (+ 1 (+ (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)))))))) 1) eps)>
#<alt (+ 1 (exp (neg (* x (- 1 eps)))))>
#<alt (- (+ 1 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))) (/ 1 eps))>
#<alt (- (+ 1 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))) (/ 1 eps))>
#<alt (- (+ 1 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))) (/ 1 eps))>
#<alt (+ 1 (exp (neg (* x (+ 1 (* -1 eps))))))>
#<alt (+ 1 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (+ 1 (* -1 (exp (neg (* x (+ 1 (* -1 eps))))))) eps))))>
#<alt (+ 1 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (+ 1 (* -1 (exp (neg (* x (+ 1 (* -1 eps))))))) eps))))>
#<alt (+ 1 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (+ 1 (* -1 (exp (neg (* x (+ 1 (* -1 eps))))))) eps))))>
#<alt 2>
#<alt (+ 2 (* x (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ 2 (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (+ 2 (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps))>
#<alt (- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps))>
#<alt (- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps))>
#<alt (- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps))>
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Calls

144 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(+ (* x eps) (neg x))
5.0ms
eps
@-inf
(+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))
2.0ms
x
@-inf
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))
2.0ms
eps
@-inf
(* (+ 1 (/ 1 eps)) (+ (* x (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) 1))
2.0ms
eps
@-inf
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))

rewrite373.0ms (2.4%)

Memory
11.0MiB live, 723.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 264×lower-fma.f32
4 252×lower-fma.f64
4 188×lower-*.f32
4 162×lower-*.f64
3 126×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047416
093414
1415402
24268402
08318390
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 812
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(fma.f64 x eps (neg.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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) 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 #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) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (*.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 (fma.f64 x eps (neg.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps (neg.f64 x))) (*.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 (fma.f64 x eps (neg.f64 x)))))
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #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 (fma.f64 x eps (neg.f64 x)))))
(fma.f64 (exp.f64 (*.f64 x eps)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 x (*.f64 (-.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 (fma.f64 x eps (neg.f64 x)))) #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 (fma.f64 x eps (neg.f64 x)))) (*.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 (fma.f64 x eps (neg.f64 x)))) #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 (fma.f64 x eps (neg.f64 x)))) (*.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 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (fma.f64 x eps (neg.f64 x)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (fma.f64 x eps (neg.f64 x)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps (neg.f64 x))) (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 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (neg.f64 eps) x)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (neg.f64 x)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(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 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x eps))) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x eps) #s(literal 1 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x eps))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x eps) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (*.f64 x eps) #s(literal 0 binary64))) (exp.f64 (neg.f64 x)) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (fma.f64 x eps (neg.f64 x)))))) (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (fma.f64 x eps (neg.f64 x)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.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 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (fma.f64 x eps (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (fma.f64 x eps (neg.f64 x))))))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (*.f64 (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (-.f64 (fma.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x eps (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))

simplify485.0ms (3.1%)

Memory
-12.9MiB live, 1 001.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 714×lower-fma.f64
10 714×lower-fma.f32
7 982×lower-+.f64
7 982×lower-+.f32
5 254×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108811393
1379410390
090289789
Stop Event
1×iter limit
1×node limit
Counts
576 → 574
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 (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (neg x)) (exp (* -1 x))))
(+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
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 (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (neg x)) (exp (* -1 x)))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
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1
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2
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(* (pow x 2) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) x))) x)) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))))
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x
(+ x (* eps x))
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(* eps x)
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(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps x)
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(* x (+ 1 eps))
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(* x (+ 1 eps))
(* x (+ 1 eps))
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(* x (+ 1 eps))
(* x (+ 1 eps))
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(* x (+ 1 eps))
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(/ (+ (* 1/2 (* eps (- (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* x (+ 1 (* -1 x))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (* 1/2 (- (+ 1 (* -1 (* x (+ 1 (* -1/2 x))))) (exp (neg x))))) eps)
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(* 1/4 (* (pow eps 2) (pow x 2)))
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1
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(* (pow x 2) (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (* 1/2 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) (pow x 2))))))
(* (pow x 2) (+ (* 1/4 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (* 1/2 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) (pow x 2))))))
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1
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(* -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 (+ 1 (* -1/2 x))) (* 1/2 x)) eps)
(/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)
(/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (+ 1 (* -1/2 x)) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)
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(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x)) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (+ (* 1/2 x) (/ 1 eps))) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (+ 1 (/ 1 eps)) (- eps 1))
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(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
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(* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* -1 (* (pow x 2) (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(/ (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x))) eps)
(/ (+ (* eps (* x (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x)))) eps)
(/ (+ (* eps (+ (* eps (* x (- (* -1/2 x) (* 1/2 (+ x (* -2 x)))))) (* x (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x))))))) (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x)))) eps)
(/ (+ (* eps (+ (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (* -1/2 x) (* 1/2 (+ x (* -2 x))))))) (* x (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x))))))) (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x)))) eps)
(* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))
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(* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))
(* (pow eps 2) (+ (* -1 (/ (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) (* 1/2 x))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x))) eps)) (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x))) eps)) (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 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))))
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(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
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(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* 1/2 (/ x eps))
(/ (+ (* 1/2 x) (* 1/2 (* eps (+ (* -1 x) (* 2 x))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* 1/2 (* eps (+ x (* -2 x)))) (* 1/2 (+ (* -1 x) (* 2 x)))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* 1/2 (+ (* -1 x) (* 2 x))) (* eps (+ (* -1/2 (* eps x)) (* 1/2 (+ x (* -2 x)))))))) eps)
(* -1/2 (* (pow eps 2) x))
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(* -1/2 (* (pow eps 2) x))
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(exp (neg x))
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(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
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(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
x
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(* -1 (* eps x))
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(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(* 1/2 (* (pow x 2) (pow (- eps 1) 2)))
(* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))
(* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (+ (/ 1 (pow x 2)) (/ eps x))) (/ 1 x)))
(* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (+ (/ 1 (pow x 2)) (/ eps x))) (/ 1 x)))
(* 1/2 (* (pow x 2) (pow (- eps 1) 2)))
(* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))))
(+ 1 (* -1 (* x (+ 1 (* -1/2 x)))))
(+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (* x (+ 1 (* -1 x))))))
(+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (+ 1 (* -1 x)))))))
(+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (+ 1 (* -1 x)))))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (+ 1 (* -1 x))) eps)))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (+ 1 (* -1 x))) eps)))))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (+ 1 (* -1 x))) eps)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (+ 1 (* -1 x))) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (* -1 (/ (+ 1 (* -1 (* x (+ 1 (* -1/2 x))))) eps))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (* -1 (/ (+ 1 (* -1 (* x (+ 1 (* -1/2 x))))) eps))) eps)) (* 1/2 (pow x 2))))
(- eps 1)
(- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)
(- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)
(- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)
(* 1/2 (* x (pow (- eps 1) 2)))
(* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))
(* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))
(* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))
(* -1 (+ 1 (* -1/2 x)))
(+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (* -1 x))))
(+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x))))))
(+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (/ 1 eps)))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (/ 1 eps)))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (+ (* -1/2 (/ x eps)) (/ 1 eps))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (+ (* -1/2 (/ x eps)) (/ 1 eps))) eps)) (* 1/2 x)))
(/ (+ 1 (* -1 (* x (+ 1 (* -1/2 x))))) eps)
(/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* x (+ 1 (* -1 x)))))))) eps)
(/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (+ (* eps (+ (* 1/2 (pow x 2)) (* x (+ 1 (* -1 x))))) (* x (+ 1 (* -1 x))))))))) eps)
(/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (+ (* 1/2 (pow x 2)) (* x (+ 1 (* -1 x)))))) (* x (+ 1 (* -1 x))))))))) eps)
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (pow x 2) eps)) (+ (* 1/2 (pow x 2)) (/ (* x (+ 1 (* -1 x))) eps))))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))) (+ (* 1/2 (/ (pow x 2) eps)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* -1 x))) eps) (/ (* x (+ 1 (* -1 x))) (pow eps 2))))))))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 3))) (+ (* 1/2 (/ (pow x 2) eps)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* -1 x))) eps) (/ (* x (+ 1 (* -1 x))) (pow eps 2))))))))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (* -1/2 (pow x 2))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (+ (* -1 (/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* x (+ 1 (* -1 x))))) eps)) (* -1/2 (pow x 2)))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (+ (* -1 (/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (+ (* x (+ 1 (* -1 x))) (/ 1 eps))))) eps)) (* -1/2 (pow x 2)))) eps)) (* 1/2 (pow x 2))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(* 1/2 (* (pow x 2) (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))
(* (pow x 2) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))
(* (pow x 2) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ 1 (* eps (pow x 2))) (+ (/ 1 (pow x 2)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ 1 (* eps (pow x 2))) (+ (/ 1 (pow x 2)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* 1/2 (* (pow x 2) (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))
(* (pow x 2) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))) x)) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))) x)) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 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 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (*.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 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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))))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (neg x)) (exp (* -1 x))))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x))))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(fma.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ 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)))
(fma.f64 x (+.f64 eps (+.f64 (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) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (neg x)) (exp (* -1 x)))
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))
(fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x)))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))
(fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
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(/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (+ (* eps (+ (* 1/2 (pow x 2)) (* x (+ 1 (* -1 x))))) (* x (+ 1 (* -1 x))))))))) eps)
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(/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (+ (* 1/2 (pow x 2)) (* x (+ 1 (* -1 x)))))) (* x (+ 1 (* -1 x))))))))) eps)
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(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(* (pow eps 2) (+ (* 1/2 (/ (pow x 2) eps)) (+ (* 1/2 (pow x 2)) (/ (* x (+ 1 (* -1 x))) eps))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 x x) eps) (*.f64 x x)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) eps))))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))) (+ (* 1/2 (/ (pow x 2) eps)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* -1 x))) eps) (/ (* x (+ 1 (* -1 x))) (pow eps 2))))))))
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(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 3))) (+ (* 1/2 (/ (pow x 2) eps)) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* -1 x))) eps) (/ (* x (+ 1 (* -1 x))) (pow eps 2))))))))))
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(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (* -1/2 (pow x 2))) eps)) (* 1/2 (pow x 2))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (+ (* -1 (/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* x (+ 1 (* -1 x))))) eps)) (* -1/2 (pow x 2)))) eps)) (* 1/2 (pow x 2))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (+.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) x)) (neg.f64 eps)))) (neg.f64 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (+ (* -1 (/ (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (+ (* x (+ 1 (* -1 x))) (/ 1 eps))))) eps)) (* -1/2 (pow x 2)))) eps)) (* 1/2 (pow x 2))))
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(* 1/2 (* (pow x 2) (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))
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(* (pow x 2) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))
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(* (pow x 2) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ 1 (* eps (pow x 2))) (+ (/ 1 (pow x 2)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
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(* (pow x 2) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ 1 (* eps (pow x 2))) (+ (/ 1 (pow x 2)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
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(*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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) (/.f64 #s(literal -1 binary64) eps)) x)) (neg.f64 x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x))) x)) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))))
(*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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) (/.f64 #s(literal -1 binary64) eps)) x)) (neg.f64 x))))

eval357.0ms (2.3%)

Memory
15.9MiB live, 570.0MiB allocated
Compiler

Compiled 64 010 to 5 170 computations (91.9% saved)

prune182.0ms (1.2%)

Memory
-21.6MiB live, 532.4MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1 478241 502
Fresh415
Picked415
Done000
Total1 486261 512
Accuracy
100.0%
Counts
1 512 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x))))) eps) #s(literal 1 binary64))
56.1%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x (+.f64 (neg.f64 x) x) (*.f64 eps (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) (+.f64 x (*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))))) eps) #s(literal 1 binary64))
72.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
70.8%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 (neg.f64 x) x) eps)))) #s(literal 1 binary64))
70.9%
(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 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
70.7%
(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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
71.4%
(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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps)))) #s(literal 1 binary64))
▶71.2%
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
▶62.3%
(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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
▶46.6%
(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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
62.7%
(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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) x)))) #s(literal 1 binary64))
62.3%
(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)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
74.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
56.1%
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
35.9%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
29.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
72.2%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
▶99.0%
(*.f64 #s(literal 1/2 binary64) (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 (fma.f64 x eps (neg.f64 x)))))
34.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (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) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
72.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
50.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
80.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
61.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
56.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
▶49.6%
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
✓38.1%
#s(literal 1 binary64)
Compiler

Compiled 1 441 to 773 computations (46.4% saved)

simplify494.0ms (3.2%)

Memory
5.5MiB live, 923.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓cost-diff320
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
✓cost-diff1024
(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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓cost-diff1152
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓cost-diff0
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
✓cost-diff128
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))
✓cost-diff128
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
✓cost-diff1344
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
✓cost-diff0
(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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
✓cost-diff128
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))
✓cost-diff384
(+.f64 (-.f64 #s(literal 1 binary64) x) x)
✓cost-diff576
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 x (*.f64 eps eps))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 eps eps)) x)
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
✓cost-diff0
(exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (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 (fma.f64 x eps (neg.f64 x)))))
✓cost-diff512
(/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))
✓cost-diff7488
(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 (fma.f64 x eps (neg.f64 x))))
Rules
23 618×lower-fma.f32
23 594×lower-fma.f64
4 412×lower-*.f32
4 380×lower-*.f64
3 098×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052685
0105671
1254633
2904591
34563558
08324533
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (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 (fma.f64 x eps (neg.f64 x)))))
#s(literal 1/2 binary64)
(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 (fma.f64 x eps (neg.f64 x))))
(exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))
x
(/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
#s(literal 2 binary64)
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(fma.f64 x eps (neg.f64 x))
(neg.f64 x)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
#s(literal 1/4 binary64)
(*.f64 (*.f64 x (*.f64 eps eps)) x)
(*.f64 x (*.f64 eps eps))
x
(*.f64 eps eps)
eps
(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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
#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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps)))
x
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps)
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
#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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal -1 binary64) eps)
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 x eps x)
#s(literal -1/2 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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
#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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 x eps x)
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (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 (fma.f64 x eps (neg.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(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 (fma.f64 x eps (neg.f64 x))))
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -1/2 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))
(*.f64 (fma.f64 x eps x) #s(literal -1/2 binary64))
x
(/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))
(fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
#s(literal 2 binary64)
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(fma.f64 x eps (neg.f64 x))
(neg.f64 x)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))))
#s(literal 1/4 binary64)
(*.f64 (*.f64 x (*.f64 eps eps)) x)
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 x (*.f64 eps eps))
x
(*.f64 eps eps)
eps
(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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))))) #s(literal 1 binary64))
#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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps)))
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64)))))
x
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps)
(/.f64 #s(literal -1 binary64) eps)
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(literal -1 binary64)
(+.f64 (-.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
#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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal -1 binary64) eps)
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal -1/2 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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 x eps) x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps x))))) #s(literal 1 binary64))
#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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
(fma.f64 (-.f64 (/.f64 x eps) x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps x)))))
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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (fma.f64 x eps x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 eps))))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(fma.f64 x eps x)
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))

localize401.0ms (2.6%)

Memory
20.2MiB live, 805.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
✓accuracy97.3%
(*.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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
✓accuracy88.6%
(*.f64 x (*.f64 eps eps))
✓accuracy99.9%
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
✓accuracy99.9%
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
✓accuracy97.3%
(*.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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
✓accuracy66.3%
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
✓accuracy100.0%
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓accuracy61.4%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))
✓accuracy54.2%
(+.f64 (-.f64 #s(literal 1 binary64) x) x)
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
✓accuracy95.6%
(*.f64 (*.f64 x (*.f64 eps eps)) x)
✓accuracy88.6%
(*.f64 x (*.f64 eps eps))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (fma.f64 x eps (neg.f64 x)))
✓accuracy100.0%
(exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))))
✓accuracy100.0%
(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 (fma.f64 x eps (neg.f64 x))))
Samples
238.0ms196×1valid
38.0ms44×0valid
18.0ms16×2valid
Compiler

Compiled 735 to 63 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-mult: 102.0ms (48.8% of total)
ival-add: 54.0ms (25.8% of total)
adjust: 26.0ms (12.4% of total)
ival-div: 9.0ms (4.3% of total)
ival-neg: 7.0ms (3.4% of total)
ival-sub: 5.0ms (2.4% of total)
ival-exp: 5.0ms (2.4% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series92.0ms (0.6%)

Memory
-19.0MiB live, 238.3MiB allocated
Counts
28 → 588
Calls
Call 1
Inputs
#<alt (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 (fma.f64 x eps (neg.f64 x))))>
#<alt (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (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 (fma.f64 x eps (neg.f64 x)))))>
#<alt (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))>
#<alt (*.f64 (*.f64 x (*.f64 eps eps)) x)>
#<alt (*.f64 x (*.f64 eps eps))>
#<alt (*.f64 eps eps)>
#<alt (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) x)>
#<alt (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))>
#<alt (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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))>
#<alt (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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))>
#<alt (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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))>
#<alt (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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))>
#<alt (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))>
#<alt (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))>
#<alt (exp.f64 (fma.f64 x eps (neg.f64 x)))>
#<alt (neg.f64 x)>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))>
#<alt (*.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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))>
#<alt (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))>
#<alt (*.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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))>
#<alt (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))>
Outputs
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt -1/2>
#<alt (- (* -1/2 eps) 1/2)>
#<alt (- (* -1/2 eps) 1/2)>
#<alt (- (* -1/2 eps) 1/2)>
#<alt (* -1/2 eps)>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1/2 eps)>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<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 (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (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 (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (* 1/2 (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2)))))) (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))))))))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/8 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* x (+ (* -1/48 (* x (pow (+ 1 eps) 3))) (* 1/8 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 x))>
#<alt (+ (exp (* -1/2 x)) (* -1/2 (* eps (* x (exp (* -1/2 x))))))>
#<alt (+ (exp (* -1/2 x)) (* eps (+ (* -1/2 (* x (exp (* -1/2 x)))) (* 1/8 (* eps (* (pow x 2) (exp (* -1/2 x))))))))>
#<alt (+ (exp (* -1/2 x)) (* eps (+ (* -1/2 (* x (exp (* -1/2 x)))) (* eps (+ (* -1/48 (* eps (* (pow x 3) (exp (* -1/2 x))))) (* 1/8 (* (pow x 2) (exp (* -1/2 x)))))))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* 1/2 (* x (- (* -1 eps) 1))))>
#<alt (exp (* 1/2 (* x (- (* -1 eps) 1))))>
#<alt (exp (* 1/2 (* x (- (* -1 eps) 1))))>
#<alt (exp (* 1/2 (* x (- (* -1 eps) 1))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<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 eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps)))))>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps)))))>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps)))))>
#<alt (* 1/2 (* x (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))))>
#<alt (* x (+ (* 1/2 (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))) (/ 1 x)))>
#<alt (* x (+ (* 1/2 (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))) (/ 1 x)))>
#<alt (* x (+ (* 1/2 (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))) (/ 1 x)))>
#<alt (* 1/2 (* x (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))))>
#<alt (* -1 (* x (- (* -1/2 (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 eps))) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))>
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#<alt (/ (- (* eps (- (* eps (- (* 1/2 (* eps x)) (* 1/2 (+ x (* -2 x))))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* -1/2 (/ (+ x (* -2 x)) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x (pow eps 3))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/2 (/ x eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* 1/2 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ x eps)) (* 1/2 x)) eps)) (* 1/2 x)) eps)) (* -1/2 x)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) 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 (/ 1 eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* -1/2 (pow (+ 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* -1/2 (pow (+ 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* -1/2 (pow (+ 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* (pow x 2) (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* -1 (* (pow x 2) (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (/ (* x (+ 1 (* -1 (+ 1 (* -1/2 x))))) eps)>
#<alt (/ (+ (* x (+ 1 (* -1 (+ 1 (* -1/2 x))))) (* (pow eps 2) (* x (- (* -1/2 x) (* -1 x))))) eps)>
#<alt (/ (+ (* x (+ 1 (* -1 (+ 1 (* -1/2 x))))) (* (pow eps 2) (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (* -1/2 x) (* -1 x)))))) eps)>
#<alt (/ (+ (* x (+ 1 (* -1 (+ 1 (* -1/2 x))))) (* (pow eps 2) (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (* -1/2 x) (* -1 x)))))) eps)>
#<alt (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (pow x 2) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/2 x) (* -1/2 x))) (/ (* x (- (+ 1 (+ (* -1 x) (* -1 (+ 1 (* -1/2 x))))) (* -1/2 x))) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (+ 1 (* -1 (+ 1 (* -1/2 x))))) (pow eps 3)) (/ (* x (- (+ 1 (+ (* -1 x) (* -1 (+ 1 (* -1/2 x))))) (* -1/2 x))) (pow eps 2))))))>
#<alt (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) x)) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* -1/2 x))) eps)) (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) x))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (pow x 2) eps)) (* x (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* -1/2 x)))) eps)) (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) x))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt x>
#<alt (+ x (* 2 (* eps x)))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (- eps 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))>
#<alt (* -1 (+ 1 (* -1/2 x)))>
#<alt (+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (* -1 x))))>
#<alt (+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x))))))>
#<alt (+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x))))))>
#<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 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (/ 1 eps)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (/ 1 eps)))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (+ (* -1/2 (/ x eps)) (/ 1 eps))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (+ (* -1/2 (/ x eps)) (/ 1 eps))) eps)) (* 1/2 x)))>
#<alt (* x (* (+ 1 eps) (- (/ 1 eps) 1)))>
#<alt (* x (+ (* x (- (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 eps) (- (/ 1 eps) 1))))>
#<alt (* x (+ (* x (- (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 eps) (- (/ 1 eps) 1))))>
#<alt (* x (+ (* x (- (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 eps) (- (/ 1 eps) 1))))>
#<alt (* (pow x 2) (- (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* (pow x 2) (- (* -1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)))>
#<alt (/ (* x (- 1 (* 1/2 x))) eps)>
#<alt (/ (+ (* -1/2 (* eps (* x (+ (* -1 x) (* 2 x))))) (* x (- 1 (* 1/2 x)))) eps)>
#<alt (/ (+ (* eps (+ (* -1/2 (* x (+ (* -1 x) (* 2 x)))) (* eps (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x))))))))) (* x (- 1 (* 1/2 x)))) eps)>
#<alt (/ (+ (* eps (+ (* -1/2 (* x (+ (* -1 x) (* 2 x)))) (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))))))) (* x (- 1 (* 1/2 x)))) eps)>
#<alt (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (/ (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))) eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (* x (+ (* -1 x) (* 2 x))) (pow eps 2))) (+ (* x (- (* 1/2 x) (* -1/2 x))) (/ (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))) eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (* x (+ (* -1 x) (* 2 x))) (pow eps 2))) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (- 1 (* 1/2 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))) eps)))))>
#<alt (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (+ 1 (* -1/2 x)) (* 1/2 x))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (/ (pow x 2) eps)) (* x (- (+ 1 (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* -1/2 x))) eps)) eps)) (* x (- (+ 1 (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 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 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ (* 1/2 x) (* 1/2 (* eps (+ (* -1 x) (* 2 x))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ (* 1/2 (* eps (+ x (* -2 x)))) (* 1/2 (+ (* -1 x) (* 2 x)))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ (* 1/2 (+ (* -1 x) (* 2 x))) (* eps (+ (* -1/2 (* eps x)) (* 1/2 (+ x (* -2 x)))))))) eps)>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<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 eps)) (* 1/2 x)) 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)))>
Calls

147 calls:

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

rewrite352.0ms (2.3%)

Memory
41.8MiB live, 746.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 302×lower-fma.f32
5 280×lower-fma.f64
4 394×lower-*.f32
4 362×lower-*.f64
3 034×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051457
0102442
1449412
24325410
08353404
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 615
Calls
Call 1
Inputs
(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 (fma.f64 x eps (neg.f64 x))))
(/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (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 (fma.f64 x eps (neg.f64 x)))))
(exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 (*.f64 x (*.f64 eps eps)) x)
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))
(+.f64 (-.f64 #s(literal 1 binary64) x) x)
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) 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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
(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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(neg.f64 x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(*.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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps))
(*.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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
Outputs
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))))
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (exp.f64 (-.f64 (*.f64 x eps) x)))) (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))))
(fma.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (+.f64 x x)) (neg.f64 (*.f64 eps #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x) (-.f64 (*.f64 x eps) x))))) (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 6 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (exp.f64 (-.f64 (*.f64 x eps) x))) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 6 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x) (-.f64 (*.f64 x eps) x))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 6 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (exp.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x) (-.f64 (*.f64 x eps) x))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 6 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x) (-.f64 (*.f64 x eps) x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x) (-.f64 (*.f64 x eps) x))))) (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 6 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (exp.f64 (-.f64 (*.f64 x eps) x))) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 6 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x) (-.f64 (*.f64 x eps) x)))))))
(*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))
(/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) eps)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 2 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) eps)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal 1/2 binary64)) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) eps)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))))
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 x eps)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 6 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (+.f64 x x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))))))
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#s(literal 1 binary64)
#s(literal -1 binary64)
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (fma.f64 x eps x)) (fma.f64 (*.f64 x (*.f64 eps eps)) (*.f64 #s(literal 1/2 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))))) x)
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 x eps x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (fma.f64 x eps x)))
(+.f64 (*.f64 (*.f64 eps (fma.f64 x eps x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x eps x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 x eps x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (fma.f64 x eps x)))
(fma.f64 (*.f64 eps (fma.f64 x eps x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
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(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (fma.f64 x eps x)) (+.f64 eps #s(literal 1 binary64)))

simplify849.0ms (5.4%)

Memory
-26.1MiB live, 812.6MiB allocated
Algorithm
1×egg-herbie
Rules
13 154×lower-fma.f64
13 154×lower-fma.f32
7 796×lower-+.f64
7 796×lower-+.f32
4 580×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08629360
129448550
085858105
Stop Event
1×iter limit
1×node limit
Counts
588 → 587
Calls
Call 1
Inputs
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 (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
-1/2
(- (* -1/2 eps) 1/2)
(- (* -1/2 eps) 1/2)
(- (* -1/2 eps) 1/2)
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
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 (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (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 (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
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1
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(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* 1/4 (/ (pow x 2) eps)) (* 1/2 (* x (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* -1/2 x)))))) eps)) (* 1/2 (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) x)))) eps)) (* 1/2 (* x (- (* 1/2 x) (* -1/2 x))))))
(* -1/2 (/ x eps))
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(/ (- (* eps (- (* eps (- (* 1/2 x) (* 1/2 (+ x (* -2 x))))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)
(/ (- (* eps (- (* eps (- (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x)))) (* 1/2 (+ x (* -2 x))))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)
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1
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x
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(* (pow x 2) (+ (* -1 (- (* -1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)))
(/ (* x (- 1 (* 1/2 x))) eps)
(/ (+ (* -1/2 (* eps (* x (+ (* -1 x) (* 2 x))))) (* x (- 1 (* 1/2 x)))) eps)
(/ (+ (* eps (+ (* -1/2 (* x (+ (* -1 x) (* 2 x)))) (* eps (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x))))))))) (* x (- 1 (* 1/2 x)))) eps)
(/ (+ (* eps (+ (* -1/2 (* x (+ (* -1 x) (* 2 x)))) (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))))))) (* x (- 1 (* 1/2 x)))) eps)
(* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))
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(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* -1/2 x))) eps)) eps)) (* x (- (+ 1 (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 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 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* 1/2 (/ x eps))
(/ (+ (* 1/2 x) (* 1/2 (* eps (+ (* -1 x) (* 2 x))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* 1/2 (* eps (+ x (* -2 x)))) (* 1/2 (+ (* -1 x) (* 2 x)))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* 1/2 (+ (* -1 x) (* 2 x))) (* eps (+ (* -1/2 (* eps x)) (* 1/2 (+ x (* -2 x)))))))) eps)
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (* -1/2 (/ x eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* -1/2 x)))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(fma.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))
(fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(fma.f64 eps (-.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
-1/2
#s(literal -1/2 binary64)
(- (* -1/2 eps) 1/2)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(- (* -1/2 eps) 1/2)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(- (* -1/2 eps) 1/2)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(fma.f64 (fma.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (neg.f64 x)) #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 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x))))))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x))))))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x))))))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x))))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x))))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x))))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x))))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x))))))
(* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(+ (* 1/2 (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2)))))) (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))))))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
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(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
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(/ (+ (* eps (+ (* -1/2 (* x (+ (* -1 x) (* 2 x)))) (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))))))) (* x (- 1 (* 1/2 x)))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) eps)
(* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))
(*.f64 (*.f64 x (*.f64 eps eps)) x)
(* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (/ (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))) eps)))
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)))
(* (pow eps 2) (+ (* -1/2 (/ (* x (+ (* -1 x) (* 2 x))) (pow eps 2))) (+ (* x (- (* 1/2 x) (* -1/2 x))) (/ (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))) eps))))
(*.f64 (*.f64 eps eps) (fma.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/2 (/ (* x (+ (* -1 x) (* 2 x))) (pow eps 2))) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (- 1 (* 1/2 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) (+ 1 (* 1/2 (+ x (* -2 x)))))) eps)))))
(*.f64 (*.f64 eps eps) (fma.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x x (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 eps eps)))))
(* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))
(*.f64 (*.f64 x (*.f64 eps eps)) x)
(* (pow eps 2) (+ (* -1 (/ (* x (- (+ 1 (* -1/2 x)) (* 1/2 x))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (/ (pow x 2) eps)) (* x (- (+ 1 (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) eps)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* -1/2 x))) eps)) eps)) (* x (- (+ 1 (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) (/.f64 (-.f64 (fma.f64 x (neg.f64 x) x) (/.f64 (fma.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) eps)) eps)))
(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(* -1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(* 1/2 (/ x eps))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) eps)
(/ (+ (* 1/2 x) (* 1/2 (* eps (+ (* -1 x) (* 2 x))))) eps)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) eps)
(/ (+ (* 1/2 x) (* eps (+ (* 1/2 (* eps (+ x (* -2 x)))) (* 1/2 (+ (* -1 x) (* 2 x)))))) eps)
(/.f64 (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (neg.f64 x) x)) (*.f64 x #s(literal 1/2 binary64))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* 1/2 (+ (* -1 x) (* 2 x))) (* eps (+ (* -1/2 (* eps x)) (* 1/2 (+ x (* -2 x)))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)
(* -1/2 (* (pow eps 2) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 x eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 eps eps)) (*.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 x eps)))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))
(*.f64 (*.f64 eps eps) (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 x eps)) (/.f64 x (*.f64 eps eps))) (/.f64 x (*.f64 eps (*.f64 eps eps)))))))
(* -1/2 (* (pow eps 2) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1/2 x) (* -1/2 (/ x eps))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 x eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 x eps)) x) 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 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x eps))) eps)) (neg.f64 eps))))

eval373.0ms (2.4%)

Memory
2.2MiB live, 387.3MiB allocated
Compiler

Compiled 62 966 to 4 682 computations (92.6% saved)

prune295.0ms (1.9%)

Memory
-15.4MiB live, 301.9MiB allocated
Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New1 474201 494
Fresh91120
Picked415
Done011
Total1 487331 520
Accuracy
100.0%
Counts
1 520 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
71.5%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) eps) #s(literal 1 binary64))
36.6%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x))))) eps) #s(literal 1 binary64))
72.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
67.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1 binary64))
▶70.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
35.7%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
70.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
70.3%
(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 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
▶71.5%
(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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
62.3%
(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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
62.7%
(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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) x)))) #s(literal 1 binary64))
62.4%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
70.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
27.8%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
63.8%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)) #s(literal 1 binary64))
56.1%
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
35.9%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
29.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
47.0%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))) (/.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
▶12.7%
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
▶72.2%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
▶99.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x))))
34.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 2 binary64)))
50.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
80.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
61.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
49.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
56.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
✓49.6%
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
43.6%
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
46.7%
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
✓38.1%
#s(literal 1 binary64)
Compiler

Compiled 1 604 to 876 computations (45.4% saved)

simplify485.0ms (3.1%)

Memory
-7.3MiB live, 670.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff320
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
✓cost-diff128
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))
✓cost-diff320
(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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
✓cost-diff512
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓cost-diff2432
(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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
✓cost-diff512
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)))
✓cost-diff0
(*.f64 eps #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
✓cost-diff0
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x))))
✓cost-diff128
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff7488
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
Rules
19 964×lower-fma.f32
19 952×lower-fma.f64
3 940×lower-*.f32
3 914×lower-*.f64
2 618×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040343
079354
1180338
2577324
32419310
45582254
08848246
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x))))
#s(literal 1/2 binary64)
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(*.f64 x #s(literal 1/2 binary64))
x
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 eps #s(literal -1/2 binary64))
eps
#s(literal -1/2 binary64)
x
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)))
(*.f64 eps eps)
eps
(*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))
x
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)
(/.f64 (+.f64 x #s(literal -1 binary64)) eps)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
#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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+.f64 eps #s(literal -1 binary64))
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 x eps x)
#s(literal -1/2 binary64)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))
#s(literal 1/2 binary64)
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(-.f64 (*.f64 x eps) x)
(-.f64 (*.f64 eps x) x)
(*.f64 x eps)
(*.f64 eps x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(*.f64 eps #s(literal -1/2 binary64))
eps
#s(literal -1/2 binary64)
x
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps (+.f64 #s(literal -1 binary64) x) (*.f64 eps (*.f64 eps x))) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)))
(*.f64 eps (fma.f64 x (+.f64 #s(literal -1 binary64) x) (*.f64 eps (*.f64 x x))))
(*.f64 eps eps)
eps
(*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))
(*.f64 x (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)))
x
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps))
(/.f64 (+.f64 x #s(literal -1 binary64)) eps)
(/.f64 (+.f64 #s(literal -1 binary64) x) eps)
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) #s(literal 1 binary64))
#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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(*.f64 x (*.f64 (fma.f64 eps x x) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64))))
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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 eps x x) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) eps) (fma.f64 (fma.f64 eps x x) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+.f64 eps #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) eps)
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps x x) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 eps x x) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps x x))
(fma.f64 x eps x)
(fma.f64 eps x x)
#s(literal -1/2 binary64)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)

localize218.0ms (1.4%)

Memory
7.4MiB live, 447.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓accuracy99.9%
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
✓accuracy97.3%
(*.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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
✓accuracy56.5%
(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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) eps)
✓accuracy99.8%
(*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))
✓accuracy75.2%
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)))
✓accuracy100.0%
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
✓accuracy100.0%
(*.f64 eps #s(literal -1/2 binary64))
✓accuracy100.0%
(-.f64 (*.f64 x eps) x)
✓accuracy100.0%
(exp.f64 (-.f64 (*.f64 x eps) x))
✓accuracy100.0%
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))))
✓accuracy100.0%
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
Samples
73.0ms90×1valid
43.0ms141×0valid
21.0ms25×2valid
Compiler

Compiled 364 to 47 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 35.0ms (33.2% of total)
adjust: 28.0ms (26.5% of total)
ival-add: 20.0ms (19% of total)
ival-div: 8.0ms (7.6% of total)
ival-exp: 6.0ms (5.7% of total)
ival-sub: 5.0ms (4.7% of total)
ival-neg: 3.0ms (2.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.4%)

Memory
19.2MiB live, 177.5MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#<alt (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))>
#<alt (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x))))>
#<alt (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)>
#<alt (*.f64 eps #s(literal -1/2 binary64))>
#<alt (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))>
#<alt (*.f64 eps eps)>
#<alt (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))>
#<alt (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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))>
#<alt (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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))>
#<alt (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))>
#<alt (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (exp.f64 (-.f64 (*.f64 x eps) x))>
#<alt (-.f64 (*.f64 x eps) x)>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) eps)>
#<alt (*.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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))>
#<alt (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))>
Outputs
#<alt (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* -1/2 (* eps x)))>
#<alt (+ (* -1/2 x) (* -1/2 (* eps x)))>
#<alt (+ (* -1/2 x) (* -1/2 (* eps x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))>
#<alt (* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))>
#<alt (* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* -1/2 (* x (+ 1 eps)))>
#<alt (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (* 1/2 (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2)))))) (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))))))))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))>
#<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 (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (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 (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))>
#<alt (exp (* -1/2 x))>
#<alt (+ (exp (* -1/2 x)) (* -1/2 (* eps (* x (exp (* -1/2 x))))))>
#<alt (+ (exp (* -1/2 x)) (* eps (+ (* -1/2 (* x (exp (* -1/2 x)))) (* 1/8 (* eps (* (pow x 2) (exp (* -1/2 x))))))))>
#<alt (+ (exp (* -1/2 x)) (* eps (+ (* -1/2 (* x (exp (* -1/2 x)))) (* eps (+ (* -1/48 (* eps (* (pow x 3) (exp (* -1/2 x))))) (* 1/8 (* (pow x 2) (exp (* -1/2 x)))))))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* 1/2 (* x (- (* -1 eps) 1))))>
#<alt (exp (* 1/2 (* x (- (* -1 eps) 1))))>
#<alt (exp (* 1/2 (* x (- (* -1 eps) 1))))>
#<alt (exp (* 1/2 (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/8 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* x (+ (* -1/48 (* x (pow (+ 1 eps) 3))) (* 1/8 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (exp (* -1/2 (* x (+ 1 eps))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* eps (* x (- x 1)))>
#<alt (* eps (+ (* eps (pow x 2)) (* x (- x 1))))>
#<alt (* eps (+ (* eps (pow x 2)) (* x (- x 1))))>
#<alt (* eps (+ (* eps (pow x 2)) (* x (- x 1))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))>
#<alt (* x (+ (* -1 eps) (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))>
#<alt (* x (+ (* -1 eps) (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))>
#<alt (* (pow eps 2) (* (pow x 2) (+ 1 (/ 1 eps))))>
#<alt (* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))>
#<alt (* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))>
#<alt (* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))>
#<alt (* (pow eps 2) (* (pow x 2) (+ 1 (/ 1 eps))))>
#<alt (* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))>
#<alt (* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))>
#<alt (* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* eps (* x (- x 1)))))>
#<alt (+ 1 (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (- x 1))))))>
#<alt (+ 1 (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (- x 1))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 1)) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 1)) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 1)) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 1)) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1/2 (* x (- x 1))) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1/2 (* x (- x 1))) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* 1/2 (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* 1/2 (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (/ 1 eps)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (/ 1 eps)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps))))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* -1 (/ x eps))>
#<alt (* x (- (* x (+ 1 (/ 1 eps))) (/ 1 eps)))>
#<alt (* x (- (* x (+ 1 (/ 1 eps))) (/ 1 eps)))>
#<alt (* x (- (* x (+ 1 (/ 1 eps))) (/ 1 eps)))>
#<alt (* (pow x 2) (+ 1 (/ 1 eps)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))>
#<alt (* (pow x 2) (+ 1 (/ 1 eps)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))>
#<alt (/ (* x (- x 1)) eps)>
#<alt (/ (+ (* eps (pow x 2)) (* x (- x 1))) eps)>
#<alt (/ (+ (* eps (pow x 2)) (* x (- x 1))) eps)>
#<alt (/ (+ (* eps (pow x 2)) (* x (- x 1))) eps)>
#<alt (pow x 2)>
#<alt (+ (/ (* x (- x 1)) eps) (pow x 2))>
#<alt (+ (/ (* x (- x 1)) eps) (pow x 2))>
#<alt (+ (/ (* x (- x 1)) eps) (pow x 2))>
#<alt (pow x 2)>
#<alt (+ (/ (* x (- x 1)) eps) (pow x 2))>
#<alt (+ (/ (* x (- x 1)) eps) (pow x 2))>
#<alt (+ (/ (* x (- x 1)) eps) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (- (* eps x) (* -1/2 x))>
#<alt (- (* eps (- (* 1/2 (* eps x)) (* -1 x))) (* -1/2 x))>
#<alt (- (* eps (- (* 1/2 (* eps x)) (* -1 x))) (* -1/2 x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (/ x eps) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* 1/2 (/ x (pow eps 2))) (+ (* -1 (/ x eps)) (* -1/2 x))))>
#<alt (* (pow eps 2) (- (* 1/2 (/ x (pow eps 2))) (+ (* -1 (/ x eps)) (* -1/2 x))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (/ x eps) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) x) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) x) eps)) (* -1/2 x)))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* x (- (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (- (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (- (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))>
#<alt (/ -1 eps)>
#<alt (/ (- (* 1/2 (* eps x)) 1) eps)>
#<alt (/ (- (* eps (- (* eps (- 1 (* -1 x))) (* -1/2 x))) 1) eps)>
#<alt (/ (- (* eps (- (* eps (- (+ 1 (* 1/2 (* eps x))) (* -1 x))) (* -1/2 x))) 1) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (/ 1 eps) (+ (* -1 (/ x eps)) (* -1/2 x))))>
#<alt (* (pow eps 2) (- (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)) (+ (* -1 (/ x eps)) (* -1/2 x))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (+ (* -1/2 x) (/ 1 eps)) (pow eps 2))) (/ 1 eps)) (+ (* -1 (/ x eps)) (* -1/2 x))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (+ (/ 1 eps) (/ x eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) (+ 1 x)) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) (+ 1 x)) eps)) (* -1/2 x)))>
#<alt (* (+ 1 (/ 1 eps)) (- eps 1))>
#<alt (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* x (- (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (- (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (- (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (* -1/2 (pow (+ 1 eps) 2))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))>
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))>
#<alt (* -1 (* x (- (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))>
#<alt (+ 1 (* x (+ (* 1/4 (* x (pow (+ 1 eps) 2))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))>
#<alt (+ 1 (* x (+ (* 1/4 (* x (pow (+ 1 eps) 2))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))>
#<alt (* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* 1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))>
#<alt (* (pow x 2) (+ (* 1/4 (pow (+ 1 eps) 2)) (+ (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/4 (pow (+ 1 eps) 2)) (+ (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (/ 1 (pow x 2)))))>
#<alt (* -1/4 (* (pow x 2) (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* (pow x 2) (+ (* -1/4 (* (+ 1 eps) (- (* -1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)) x)) (* -1/4 (* (+ 1 eps) (- (* -1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)) x)) (* -1/4 (* (+ 1 eps) (- (* -1 eps) 1)))))>
#<alt (+ 1 (* 1/4 (pow x 2)))>
#<alt (+ 1 (+ (* 1/4 (pow x 2)) (* 1/2 (* eps (pow x 2)))))>
#<alt (+ 1 (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 (pow x 2))))))>
#<alt (+ 1 (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 (pow x 2))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (* 1/2 (/ (pow x 2) eps))))>
#<alt (* (pow eps 2) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (/ 1 (pow eps 2))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (* 1/2 (/ (pow x 2) eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/4 (pow x 2))) eps)) (* -1/2 (pow x 2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/4 (pow x 2))) eps)) (* -1/2 (pow x 2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* 1/2 x)>
#<alt (- (* eps x) (* -1/2 x))>
#<alt (- (* eps (- (* 1/2 (* eps x)) (* -1 x))) (* -1/2 x))>
#<alt (- (* eps (- (* 1/2 (* eps x)) (* -1 x))) (* -1/2 x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (/ x eps) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* 1/2 (/ x (pow eps 2))) (+ (* -1 (/ x eps)) (* -1/2 x))))>
#<alt (* (pow eps 2) (- (* 1/2 (/ x (pow eps 2))) (+ (* -1 (/ x eps)) (* -1/2 x))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (/ x eps) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) x) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) x) eps)) (* -1/2 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>
#<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 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) 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 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (/ -1 eps)>
#<alt (- (/ x eps) (/ 1 eps))>
#<alt (- (/ x eps) (/ 1 eps))>
#<alt (- (/ x eps) (/ 1 eps))>
#<alt (/ x eps)>
#<alt (* x (- (/ 1 eps) (/ 1 (* eps x))))>
#<alt (* x (- (/ 1 eps) (/ 1 (* eps x))))>
#<alt (* x (- (/ 1 eps) (/ 1 (* eps x))))>
#<alt (/ x eps)>
#<alt (* -1 (* x (- (/ 1 (* eps x)) (/ 1 eps))))>
#<alt (* -1 (* x (- (/ 1 (* eps x)) (/ 1 eps))))>
#<alt (* -1 (* x (- (/ 1 (* eps x)) (/ 1 eps))))>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (/ (- x 1) eps)>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* -1/2 (* (pow x 2) (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* 1/2 (pow x 2)) (* eps (pow x 2)))>
#<alt (+ (* 1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (pow x 2))))>
#<alt (+ (* 1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (pow x 2) eps)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ (pow x 2) eps))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ (pow x 2) eps))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (pow x 2) eps)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (/ (pow x 2) eps))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (/ (pow x 2) eps))) eps)) (* 1/2 (pow x 2))))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt x>
#<alt (+ x (* 2 (* eps x)))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
Calls

117 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
(* (* eps eps) (* x (+ (/ (+ x -1) eps) x)))
4.0ms
x
@0
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ eps -1)) (neg (* (* (+ (* x eps) x) (+ eps 1)) -1/2)))))
2.0ms
x
@inf
(* (* eps -1/2) x)
1.0ms
x
@0
(+ (* (+ 1 (/ 1 eps)) (+ eps -1)) (neg (* (* (+ (* x eps) x) (+ eps 1)) -1/2)))
1.0ms
x
@-inf
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ eps -1)) (neg (* (* (+ (* x eps) x) (+ eps 1)) -1/2)))))

rewrite551.0ms (3.5%)

Memory
-15.8MiB live, 695.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 274×lower-/.f32
4 270×lower-/.f64
4 082×lower-fma.f32
4 070×lower-fma.f64
3 726×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040271
079252
1328248
22958247
08527247
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 724
Calls
Call 1
Inputs
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 eps #s(literal -1/2 binary64))
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(*.f64 eps eps)
(*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) 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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(/.f64 (+.f64 x #s(literal -1 binary64)) eps)
(*.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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
Outputs
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (-.f64 (*.f64 eps x) x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal 4 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 eps)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 (neg.f64 eps)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 eps x) x)))
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(*.f64 (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x)) (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x)) (fma.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (*.f64 x x))) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 eps x)) (*.f64 eps (*.f64 eps (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 (fma.f64 eps x x) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (/.f64 (fma.f64 eps x x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) x) (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal -1 binary64) eps)))
(*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 eps (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (*.f64 x x)) (*.f64 x (fma.f64 eps x x))))))
(*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x))) (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps x x))))
(*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x)) (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x)))) (fma.f64 eps x x))
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(*.f64 (/.f64 (fma.f64 eps x x) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 eps x x) (fma.f64 eps eps #s(literal -1 binary64))) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))))

simplify391.0ms (2.5%)

Memory
3.2MiB live, 524.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 610×lower-fma.f64
10 610×lower-fma.f32
6 298×lower-*.f64
6 298×lower-*.f32
2 766×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05095957
116855712
255195422
082515103
Stop Event
1×iter limit
1×node limit
Counts
468 → 467
Calls
Call 1
Inputs
(+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
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 (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(* -1/2 x)
(+ (* -1/2 x) (* -1/2 (* eps x)))
(+ (* -1/2 x) (* -1/2 (* eps x)))
(+ (* -1/2 x) (* -1/2 (* eps x)))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))
(* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))
(* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))
(* -1/2 (* eps x))
(* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2)))
(+ (* 1/2 (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))))
(+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2)))))) (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))))))
(+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))))))))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))
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 (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (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 (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(exp (* -1/2 x))
(+ (exp (* -1/2 x)) (* -1/2 (* eps (* x (exp (* -1/2 x))))))
(+ (exp (* -1/2 x)) (* eps (+ (* -1/2 (* x (exp (* -1/2 x)))) (* 1/8 (* eps (* (pow x 2) (exp (* -1/2 x))))))))
(+ (exp (* -1/2 x)) (* eps (+ (* -1/2 (* x (exp (* -1/2 x)))) (* eps (+ (* -1/48 (* eps (* (pow x 3) (exp (* -1/2 x))))) (* 1/8 (* (pow x 2) (exp (* -1/2 x)))))))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* 1/2 (* x (- (* -1 eps) 1))))
(exp (* 1/2 (* x (- (* -1 eps) 1))))
(exp (* 1/2 (* x (- (* -1 eps) 1))))
(exp (* 1/2 (* x (- (* -1 eps) 1))))
1
(+ 1 (* -1/2 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/8 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* x (+ (* -1/48 (* x (pow (+ 1 eps) 3))) (* 1/8 (pow (+ 1 eps) 2)))))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(exp (* -1/2 (* x (+ 1 eps))))
(* -1/2 (* eps x))
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(* -1/2 (* eps x))
(* -1/2 eps)
(* -1/2 eps)
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(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* eps (* x (- x 1)))
(* eps (+ (* eps (pow x 2)) (* x (- x 1))))
(* eps (+ (* eps (pow x 2)) (* x (- x 1))))
(* eps (+ (* eps (pow x 2)) (* x (- x 1))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))
(* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))
(* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))
(* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))
(* (pow eps 2) (+ (/ (* x (- x 1)) eps) (pow x 2)))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))
(* x (+ (* -1 eps) (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))
(* x (+ (* -1 eps) (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))
(* (pow eps 2) (* (pow x 2) (+ 1 (/ 1 eps))))
(* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))
(* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))
(* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))
(* (pow eps 2) (* (pow x 2) (+ 1 (/ 1 eps))))
(* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))
(* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))
(* (pow x 2) (+ (* -1 (/ eps x)) (* (pow eps 2) (+ 1 (/ 1 eps)))))
1
(+ 1 (* 1/2 (* eps (* x (- x 1)))))
(+ 1 (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (- x 1))))))
(+ 1 (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (- x 1))))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 1)) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 1)) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 1)) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 1)) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/2 (* x (- x 1))) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/2 (* x (- x 1))) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* 1/2 (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))))
(+ 1 (* x (+ (* -1/2 eps) (* 1/2 (* (pow eps 2) (* x (+ 1 (/ 1 eps))))))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (/ 1 eps)))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps))))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps)))) (/ 1 (pow x 2)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (/ 1 eps)))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps))))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps))))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) (* 1/2 (* (pow eps 2) (+ 1 (/ 1 eps))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -1 (/ x eps))
(* x (- (* x (+ 1 (/ 1 eps))) (/ 1 eps)))
(* x (- (* x (+ 1 (/ 1 eps))) (/ 1 eps)))
(* x (- (* x (+ 1 (/ 1 eps))) (/ 1 eps)))
(* (pow x 2) (+ 1 (/ 1 eps)))
(* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))
(* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))
(* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))
(* (pow x 2) (+ 1 (/ 1 eps)))
(* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))
(* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))
(* (pow x 2) (- (+ 1 (/ 1 eps)) (/ 1 (* eps x))))
(/ (* x (- x 1)) eps)
(/ (+ (* eps (pow x 2)) (* x (- x 1))) eps)
(/ (+ (* eps (pow x 2)) (* x (- x 1))) eps)
(/ (+ (* eps (pow x 2)) (* x (- x 1))) eps)
(pow x 2)
(+ (/ (* x (- x 1)) eps) (pow x 2))
(+ (/ (* x (- x 1)) eps) (pow x 2))
(+ (/ (* x (- x 1)) eps) (pow x 2))
(pow x 2)
(+ (/ (* x (- x 1)) eps) (pow x 2))
(+ (/ (* x (- x 1)) eps) (pow x 2))
(+ (/ (* x (- x 1)) eps) (pow x 2))
(* 1/2 x)
(- (* eps x) (* -1/2 x))
(- (* eps (- (* 1/2 (* eps x)) (* -1 x))) (* -1/2 x))
(- (* eps (- (* 1/2 (* eps x)) (* -1 x))) (* -1/2 x))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (/ x eps) (* -1/2 x)))
(* (pow eps 2) (- (* 1/2 (/ x (pow eps 2))) (+ (* -1 (/ x eps)) (* -1/2 x))))
(* (pow eps 2) (- (* 1/2 (/ x (pow eps 2))) (+ (* -1 (/ x eps)) (* -1/2 x))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (/ x eps) (* -1/2 x)))
(* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) x) eps)) (* -1/2 x)))
(* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) x) eps)) (* -1/2 x)))
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* x (- (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (pow (+ 1 eps) 2))))
(* x (- (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (pow (+ 1 eps) 2))))
(* x (- (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (pow (+ 1 eps) 2))))
(* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (- (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))
(* -1 (* x (- (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))
(* -1 (* x (- (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))
(/ -1 eps)
(/ (- (* 1/2 (* eps x)) 1) eps)
(/ (- (* eps (- (* eps (- 1 (* -1 x))) (* -1/2 x))) 1) eps)
(/ (- (* eps (- (* eps (- (+ 1 (* 1/2 (* eps x))) (* -1 x))) (* -1/2 x))) 1) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (/ 1 eps) (+ (* -1 (/ x eps)) (* -1/2 x))))
(* (pow eps 2) (- (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)) (+ (* -1 (/ x eps)) (* -1/2 x))))
(* (pow eps 2) (- (+ (* -1 (/ (+ (* -1/2 x) (/ 1 eps)) (pow eps 2))) (/ 1 eps)) (+ (* -1 (/ x eps)) (* -1/2 x))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (/ 1 eps) (/ x eps)) (* -1/2 x)))
(* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) (+ 1 x)) eps)) (* -1/2 x)))
(* (pow eps 2) (- (* -1 (/ (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) (+ 1 x)) eps)) (* -1/2 x)))
(* (+ 1 (/ 1 eps)) (- eps 1))
(+ (* 1/2 (* x (pow (+ 1 eps) 2))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* 1/2 (* x (pow (+ 1 eps) 2))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* 1/2 (* x (pow (+ 1 eps) 2))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* x (- (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (* -1/2 (pow (+ 1 eps) 2))))
(* x (- (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (* -1/2 (pow (+ 1 eps) 2))))
(* x (- (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (* -1/2 (pow (+ 1 eps) 2))))
(* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (- (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))
(* -1 (* x (- (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))
(* -1 (* x (- (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))))))
1
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ 1 (* x (+ (* 1/4 (* x (pow (+ 1 eps) 2))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))
(+ 1 (* x (+ (* 1/4 (* x (pow (+ 1 eps) 2))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))
(* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* 1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(* (pow x 2) (+ (* 1/4 (pow (+ 1 eps) 2)) (+ (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/4 (pow (+ 1 eps) 2)) (+ (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (/ 1 (pow x 2)))))
(* -1/4 (* (pow x 2) (* (+ 1 eps) (- (* -1 eps) 1))))
(* (pow x 2) (+ (* -1/4 (* (+ 1 eps) (- (* -1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)) x)) (* -1/4 (* (+ 1 eps) (- (* -1 eps) 1)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)) x)) (* -1/4 (* (+ 1 eps) (- (* -1 eps) 1)))))
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (+ (* 1/4 (pow x 2)) (* 1/2 (* eps (pow x 2)))))
(+ 1 (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 (pow x 2))))))
(+ 1 (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 (pow x 2))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (* 1/2 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (/ 1 (pow eps 2))))))
(* (pow eps 2) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (/ 1 (pow eps 2))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (* 1/2 (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/4 (pow x 2))) eps)) (* -1/2 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/4 (pow x 2))) eps)) (* -1/2 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* 1/2 x)
(- (* eps x) (* -1/2 x))
(- (* eps (- (* 1/2 (* eps x)) (* -1 x))) (* -1/2 x))
(- (* eps (- (* 1/2 (* eps x)) (* -1 x))) (* -1/2 x))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (/ x eps) (* -1/2 x)))
(* (pow eps 2) (- (* 1/2 (/ x (pow eps 2))) (+ (* -1 (/ x eps)) (* -1/2 x))))
(* (pow eps 2) (- (* 1/2 (/ x (pow eps 2))) (+ (* -1 (/ x eps)) (* -1/2 x))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (/ x eps) (* -1/2 x)))
(* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) x) eps)) (* -1/2 x)))
(* (pow eps 2) (- (* -1 (/ (- (* -1/2 (/ x eps)) x) eps)) (* -1/2 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
(+ 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
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(* 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 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) 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 eps)
(- (/ x eps) (/ 1 eps))
(- (/ x eps) (/ 1 eps))
(- (/ x eps) (/ 1 eps))
(/ x eps)
(* x (- (/ 1 eps) (/ 1 (* eps x))))
(* x (- (/ 1 eps) (/ 1 (* eps x))))
(* x (- (/ 1 eps) (/ 1 (* eps x))))
(/ x eps)
(* -1 (* x (- (/ 1 (* eps x)) (/ 1 eps))))
(* -1 (* x (- (/ 1 (* eps x)) (/ 1 eps))))
(* -1 (* x (- (/ 1 (* eps x)) (/ 1 eps))))
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(/ (- x 1) eps)
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(* x (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* 1/2 (* x (pow (+ 1 eps) 2))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* (pow x 2) (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* (pow x 2) (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* -1/2 (* (pow x 2) (* (+ 1 eps) (- (* -1 eps) 1))))
(* (pow x 2) (+ (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* (pow x 2) (+ (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* (pow x 2) (+ (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* 1/2 (pow x 2))
(+ (* 1/2 (pow x 2)) (* eps (pow x 2)))
(+ (* 1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (pow x 2))))
(+ (* 1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (pow x 2) eps)))
(* (pow eps 2) (+ (* 1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ (pow x 2) eps))))
(* (pow eps 2) (+ (* 1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ (pow x 2) eps))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (pow x 2) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (/ (pow x 2) eps))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (/ (pow x 2) eps))) eps)) (* 1/2 (pow x 2))))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
x
(+ x (* 2 (* eps x)))
(+ x (* eps (+ (* 2 x) (* eps x))))
(+ x (* eps (+ (* 2 x) (* eps x))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
Outputs
(+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 eps (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(fma.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(fma.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 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))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1/2 binary64))))))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
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(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
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(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
x
(+ x (* 2 (* eps x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 x (*.f64 (+.f64 #s(literal 2 binary64) eps) eps) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 x (*.f64 (+.f64 #s(literal 2 binary64) eps) eps) x)
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(*.f64 (*.f64 eps eps) (fma.f64 x (/.f64 #s(literal 2 binary64) eps) x))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (+.f64 x (/.f64 x (*.f64 eps eps)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (fma.f64 x (/.f64 #s(literal 2 binary64) eps) (+.f64 x (/.f64 x (*.f64 eps eps)))))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(*.f64 (*.f64 eps eps) (fma.f64 x (/.f64 #s(literal 2 binary64) eps) x))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(*.f64 (*.f64 eps eps) (-.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 x (neg.f64 eps))) eps)))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(*.f64 (*.f64 eps eps) (-.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 x (neg.f64 eps))) eps)))

eval248.0ms (1.6%)

Memory
-8.5MiB live, 358.6MiB allocated
Compiler

Compiled 46 794 to 4 090 computations (91.3% saved)

prune171.0ms (1.1%)

Memory
-1.8MiB live, 355.0MiB allocated
Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New1 282201 302
Fresh32326
Picked415
Done022
Total1 289461 335
Accuracy
100.0%
Counts
1 335 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(fma.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)) (*.f64 eps (*.f64 eps x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
63.1%
(fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
62.6%
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
68.5%
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
46.8%
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
50.0%
(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))
55.2%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
55.2%
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
71.5%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) eps) #s(literal 1 binary64))
36.6%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x))))) eps) #s(literal 1 binary64))
72.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
53.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x (/.f64 eps (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (*.f64 x x))) #s(literal 1 binary64))
70.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) eps)) #s(literal 1 binary64))
40.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 eps eps)) (*.f64 x x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) eps) x))) #s(literal 1 binary64))
35.7%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
70.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
45.9%
(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)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps x x)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
62.3%
(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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
62.7%
(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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) x)))) #s(literal 1 binary64))
61.6%
(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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))))) #s(literal 1 binary64))
62.4%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
70.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
27.8%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
71.7%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 eps eps eps)) eps)) #s(literal 1 binary64))
63.1%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
69.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
56.1%
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
35.9%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
29.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
37.9%
(-.f64 #s(literal 1 binary64) x)
47.0%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))) (/.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
✓12.7%
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
37.2%
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
80.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 x eps))))
34.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 2 binary64)))
50.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
80.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
61.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
49.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
40.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
56.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
✓49.6%
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
43.6%
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
46.7%
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
72.2%
(exp.f64 (neg.f64 x))
✓38.1%
#s(literal 1 binary64)
Compiler

Compiled 2 754 to 932 computations (66.2% saved)

regimes78.0ms (0.5%)

Memory
20.8MiB live, 139.0MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 eps eps eps)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)) (*.f64 eps (*.f64 eps x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 (neg.f64 x) x) eps)))) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps 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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) 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 #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) 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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x (+.f64 (neg.f64 x) x) (*.f64 eps (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) (+.f64 x (*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x (/.f64 eps (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 eps eps)) (*.f64 x x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) eps) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) 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) eps) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps x x)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #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) (fma.f64 x (+.f64 eps (+.f64 (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) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))) (/.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x 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 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(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 (fma.f64 x eps (neg.f64 x))) (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))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 x eps))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(*.f64 #s(literal 1/2 binary64) (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 (fma.f64 x eps (neg.f64 x)))))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

21.0ms
x
20.0ms
eps
17.0ms
(/.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))
15.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1eps
99.0%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.0%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)

regimes78.0ms (0.5%)

Memory
-16.0MiB live, 151.3MiB allocated
Counts
69 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 eps eps eps)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)) (*.f64 eps (*.f64 eps x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 (neg.f64 x) x) eps)))) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps 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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) 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 #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) 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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x (+.f64 (neg.f64 x) x) (*.f64 eps (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) (+.f64 x (*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x (/.f64 eps (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 eps eps)) (*.f64 x x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) eps) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) 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) eps) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps x x)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #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) (fma.f64 x (+.f64 eps (+.f64 (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) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))) (/.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x 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 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(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 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #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)))))
Calls

4 calls:

22.0ms
x
19.0ms
eps
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))
17.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
90.0%2x
100.0%2eps
99.6%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.6%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes130.0ms (0.8%)

Memory
9.4MiB live, 87.1MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 eps eps eps)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)) (*.f64 eps (*.f64 eps x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 (neg.f64 x) x) eps)))) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps 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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) 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 #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) 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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x (+.f64 (neg.f64 x) x) (*.f64 eps (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) (+.f64 x (*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x (/.f64 eps (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 eps eps)) (*.f64 x x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) eps) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) 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) eps) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps x x)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #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) (fma.f64 x (+.f64 eps (+.f64 (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) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))) (/.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x 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 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Calls

3 calls:

93.0ms
(-.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)))))
19.0ms
eps
14.0ms
(/.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
95.7%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
95.7%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
95.7%2eps
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes52.0ms (0.3%)

Memory
0.8MiB live, 80.1MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 eps eps eps)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)) (*.f64 eps (*.f64 eps x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 (neg.f64 x) x) eps)))) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps 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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) 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 #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) 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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x (+.f64 (neg.f64 x) x) (*.f64 eps (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) (+.f64 x (*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x (/.f64 eps (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 eps eps)) (*.f64 x x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) eps) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) 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) eps) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps x x)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #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) (fma.f64 x (+.f64 eps (+.f64 (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) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))) (/.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x 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 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
Calls

3 calls:

19.0ms
eps
15.0ms
(-.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)))))
14.0ms
(/.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
95.1%3eps
95.3%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
95.3%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes31.0ms (0.2%)

Memory
16.8MiB live, 54.2MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 eps eps eps)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)) (*.f64 eps (*.f64 eps x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 (neg.f64 x) x) eps)))) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps 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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) 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 #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) 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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x (+.f64 (neg.f64 x) x) (*.f64 eps (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) (+.f64 x (*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x (/.f64 eps (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 eps eps)) (*.f64 x x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) eps) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) 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) eps) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps x x)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))) #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) (fma.f64 x (+.f64 eps (+.f64 (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) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 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)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(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)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
Outputs
(exp.f64 (neg.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
Calls

2 calls:

14.0ms
(-.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)))))
13.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.7%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
94.7%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes56.0ms (0.4%)

Memory
-11.7MiB live, 107.3MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 eps eps eps)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)) (*.f64 eps (*.f64 eps x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 (neg.f64 x) x) eps)))) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps 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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) 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 #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) 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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x (+.f64 (neg.f64 x) x) (*.f64 eps (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) (+.f64 x (*.f64 x (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x (/.f64 eps (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 eps eps)) (*.f64 x x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) eps) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) 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) eps) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
Calls

4 calls:

16.0ms
x
13.0ms
eps
12.0ms
(-.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)))))
12.0ms
(/.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
84.0%2x
79.0%4eps
76.6%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
76.6%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes14.0ms (0.1%)

Memory
-15.3MiB live, 23.6MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(neg.f64 (*.f64 eps (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 eps eps eps)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) eps) x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) eps)) (*.f64 eps (*.f64 eps x))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 (neg.f64 x) x) eps)))) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) (/.f64 (fma.f64 x (*.f64 x eps) (fma.f64 x x (neg.f64 x))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x))) (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps 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 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) 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 #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 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) 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 eps eps) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) x)) (neg.f64 eps)) 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
81.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
31.4MiB live, 31.4MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps))))
(fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
Calls

4 calls:

5.0ms
x
5.0ms
eps
4.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
70.6%2eps
74.9%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
74.9%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
77.2%3x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes7.0ms (0%)

Memory
-29.1MiB live, 9.5MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
77.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
Outputs
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
77.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
Outputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
Calls

3 calls:

4.0ms
x
3.0ms
(/.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))
3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
73.8%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
73.8%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
72.5%3x
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes15.0ms (0.1%)

Memory
-12.5MiB live, 26.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(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 (*.f64 x (+.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
Calls

4 calls:

4.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
4.0ms
eps
4.0ms
x
3.0ms
(/.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
63.1%1eps
63.1%1x
63.1%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))
63.1%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)

regimes13.0ms (0.1%)

Memory
-21.7MiB live, 20.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(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 1/4 binary64)) #s(literal 1 binary64))
Calls

4 calls:

4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms
x
3.0ms
eps
2.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
55.2%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))
55.2%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
55.2%1eps
55.2%1x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes7.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
Outputs
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
#s(literal 1 binary64)
Calls

4 calls:

2.0ms
x
2.0ms
eps
2.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
47.3%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
47.3%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
43.0%2eps
47.8%2x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes6.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated
Accuracy

Total -0.4b remaining (-1%)

Threshold costs -0.4b (-1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(literal 1 binary64)
Calls

4 calls:

1.0ms
x
1.0ms
eps
1.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
38.1%1eps
38.1%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))
38.1%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)))))
38.1%1x
Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch27.0ms (0.2%)

Memory
-10.8MiB live, 27.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.572193228672145
6437664.278166264
Samples
16.0ms144×0valid
1.0ms5×0exit
Compiler

Compiled 304 to 240 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 3.0ms (23.9% of total)
ival-div: 2.0ms (15.9% of total)
ival-exp: 2.0ms (15.9% of total)
ival-sub: 2.0ms (15.9% of total)
ival-add: 1.0ms (8% of total)
ival-neg: 1.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.572193228672145
6437664.278166264
Compiler

Compiled 520 to 339 computations (34.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.000000280993663
2.0000004928537694
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.000000280993663
2.0000004928537694
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch42.0ms (0.3%)

Memory
1.6MiB live, 39.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
29.80648430535769
28885.78004380225
Samples
16.0ms35×1valid
9.0ms80×0valid
7.0ms13×2valid
Compiler

Compiled 442 to 248 computations (43.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-exp: 6.0ms (28% of total)
ival-mult: 4.0ms (18.7% of total)
ival-sub: 3.0ms (14% of total)
ival-div: 3.0ms (14% of total)
adjust: 2.0ms (9.3% of total)
ival-neg: 2.0ms (9.3% of total)
ival-add: 2.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Memory
17.6MiB live, 55.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
0.0031078947351149393
29.80648430535769
Samples
14.0ms45×1valid
11.0ms83×0valid
Compiler

Compiled 234 to 160 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-exp: 5.0ms (24.3% of total)
ival-div: 4.0ms (19.4% of total)
ival-mult: 4.0ms (19.4% of total)
ival-sub: 2.0ms (9.7% of total)
adjust: 2.0ms (9.7% of total)
ival-add: 2.0ms (9.7% of total)
ival-neg: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch91.0ms (0.6%)

Memory
-29.9MiB live, 126.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
48.0ms
9.792259772008472e-83
4.6486654034402105e-43
33.0ms
-1.7694668526205427e-85
-9.756207974672884e-89
Samples
42.0ms133×1valid
21.0ms187×0valid
Compiler

Compiled 522 to 364 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 13.0ms (24.8% of total)
ival-exp: 13.0ms (24.8% of total)
ival-div: 7.0ms (13.3% of total)
ival-sub: 6.0ms (11.4% of total)
adjust: 5.0ms (9.5% of total)
ival-neg: 4.0ms (7.6% of total)
ival-add: 4.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.792259772008472e-83
4.6486654034402105e-43
1.0ms
-1.7694668526205427e-85
-9.756207974672884e-89
Compiler

Compiled 514 to 364 computations (29.2% saved)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.792259772008472e-83
4.6486654034402105e-43
1.0ms
-1.7694668526205427e-85
-9.756207974672884e-89
Compiler

Compiled 514 to 364 computations (29.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.000896985788119
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch39.0ms (0.2%)

Memory
22.4MiB live, 64.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
-45513803.438632205
-0.06865630361601739
Samples
19.0ms52×1valid
10.0ms92×0valid
Compiler

Compiled 142 to 114 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-exp: 6.0ms (24% of total)
ival-mult: 5.0ms (20% of total)
ival-add: 5.0ms (20% of total)
ival-sub: 3.0ms (12% of total)
ival-div: 3.0ms (12% of total)
adjust: 2.0ms (8% of total)
ival-neg: 2.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify51.0ms (0.3%)

Memory
-14.0MiB live, 61.3MiB allocated
Algorithm
1×egg-herbie
Rules
404×distribute-lft-neg-in_binary64
254×unsub-neg_binary64
244×neg-mul-1_binary64
186×neg-sub0_binary64
142×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0105485
1168485
2210478
3264478
4307478
5385478
6493478
7657478
8850478
91031478
101154478
111237478
121290478
131311478
141317478
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #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))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))
(if (<=.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 4503600528090421/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64)))
(if (<=.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 4503600528090421/2251799813685248 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 720 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))
(if (<=.f64 x #s(literal 29 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps)))) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))
(if (<=.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 10 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))))
(fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #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))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))) #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)))) #s(literal 2 binary64)))
(if (<=.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 4503600528090421/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #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)))) #s(literal 4503600528090421/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) eps)) #s(literal 1 binary64)))
(if (<=.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 4503600528090421/2251799813685248 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #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)))) #s(literal 4503600528090421/2251799813685248 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) eps)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 720 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 x #s(literal -1/2 binary64)))) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))
(if (<=.f64 x #s(literal 720 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 29 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))
(if (<=.f64 x #s(literal 29 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) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps)))) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps eps)))) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))
(if (<=.f64 x #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (*.f64 x x))) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 binary64)) (fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1/4 binary64))))
(if (<=.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 10 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #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)))) #s(literal 10 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.9s (12%)

Memory
8.9MiB live, 1 359.0MiB allocated
Rules
15 874×lower-fma.f64
15 874×lower-fma.f32
13 154×lower-fma.f64
13 154×lower-fma.f32
10 714×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05095957
116855712
255195422
082515103
08629360
129448550
085858105
0108811393
1379410390
090289789
051457
0102442
1449412
24325410
08353404
040271
079252
1328248
22958247
08527247
03293352
110703020
236512701
082512550
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 493 to 672 computations (55% saved)

preprocess89.0ms (0.6%)

Memory
-4.2MiB live, 227.6MiB allocated
Compiler

Compiled 1 082 to 280 computations (74.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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