NMSE Section 6.1 mentioned, A

Time bar (total: 12.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze27.0ms (0.2%)

Memory
-1.6MiB live, 37.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.7s (21.1%)

Memory
-57.9MiB live, 3 622.0MiB allocated
Samples
1.1s2 317×1valid
880.0ms5 938×0valid
174.0ms952×0exit
4.0ms26×1exit
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-exp: 655.0ms (36% of total)
ival-mult: 343.0ms (18.9% of total)
ival-sub: 230.0ms (12.6% of total)
ival-div: 202.0ms (11.1% of total)
ival-add: 158.0ms (8.7% of total)
ival-neg: 117.0ms (6.4% of total)
adjust: 96.0ms (5.3% of total)
exact: 9.0ms (0.5% of total)
ival-true: 6.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain434.0ms (3.4%)

Memory
5.1MiB live, 630.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
643(4.481266380875748e-285 -0.004061213956684603)0-(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
00-0-(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
00-0-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
00-0-(-.f64 #s(literal 1 binary64) eps)
00-0-(+.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
00-0-(/.f64 #s(literal 1 binary64) eps)
00-0-eps
00-0-(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
00-0-(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
00-0-(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))cancellation670
Confusion
Predicted +Predicted -
+640
-3189
Precision
0.9552238805970149
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-30189
Precision?
0.9552238805970149
Recall?
1.0
Freqs
test
numberfreq
0189
167
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
107.0ms128×1valid
49.0ms384×0valid
Compiler

Compiled 317 to 61 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-sub: 69.0ms (52.4% of total)
ival-exp: 18.0ms (13.7% of total)
ival-mult: 16.0ms (12.2% of total)
ival-div: 11.0ms (8.4% of total)
ival-add: 6.0ms (4.6% of total)
adjust: 5.0ms (3.8% of total)
ival-neg: 5.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess262.0ms (2%)

Memory
21.8MiB live, 354.2MiB allocated
Algorithm
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
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(fma.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
Symmetry

(abs eps)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.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)

simplify260.0ms (2%)

Memory
-15.4MiB live, 381.9MiB allocated
Algorithm
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
iter limit
node limit
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 (*.f64 eps x) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (*.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 (*.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)

localize84.0ms (0.7%)

Memory
5.6MiB live, 129.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy0.00390625
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy15.499999999997478
(-.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
32.0ms192×0valid
21.0ms64×1valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 16.0ms (39.3% of total)
ival-exp: 8.0ms (19.6% of total)
ival-sub: 4.0ms (9.8% of total)
ival-div: 4.0ms (9.8% of total)
ival-add: 3.0ms (7.4% of total)
adjust: 2.0ms (4.9% of total)
ival-neg: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
3.5MiB live, 41.5MiB 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) eps) x)>
#<alt (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))))>
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#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
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#<alt (* x (+ 1 eps))>
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#<alt x>
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#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
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#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
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#<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
x
@-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
eps
@-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)

simplify299.0ms (2.3%)

Memory
-0.9MiB live, 443.1MiB allocated
Algorithm
egg-herbie
Rules
13 416×lower-fma.f64
13 416×lower-fma.f32
4 390×lower-*.f64
4 390×lower-*.f32
3 664×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02872962
19202564
231142316
083282191
Stop Event
iter limit
node limit
Counts
168 → 166
Calls
Call 1
Inputs
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(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
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1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
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(+ 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))))))))))
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(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
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2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 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))))))
(+ 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))))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps x)
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) 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 eps)))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
x
(+ x (* eps x))
(+ x (* eps x))
(+ x (* eps x))
(* eps x)
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
x
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 (* eps x))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(exp (neg x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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))))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+ (* 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)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+ (* -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)))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 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))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
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(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (exp.f64 (neg.f64 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))))))
(fma.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))))) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(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 (+.f64 #s(literal -1 binary64) (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))) eps)) #s(literal 1 binary64))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))

rewrite302.0ms (2.3%)

Memory
18.5MiB live, 512.6MiB allocated
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
01986
03486
113182
293279
0893173
Stop Event
iter limit
node limit
iter limit
Counts
7 → 464
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) eps) x)
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (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 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.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) (/.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (-.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) (/.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 2 binary64) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal 2 binary64) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.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) (/.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/4 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 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/4 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 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))))))))
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(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (*.f64 x eps))))
(*.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))))

eval134.0ms (1%)

Memory
21.4MiB live, 184.4MiB allocated
Compiler

Compiled 31 250 to 2 467 computations (92.1% saved)

prune142.0ms (1.1%)

Memory
4.1MiB live, 229.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6219630
Fresh000
Picked101
Done000
Total6229631
Accuracy
100.0%
Counts
631 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(/.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)) #s(approx (exp (neg (* (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
38.1%
(/.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)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
55.3%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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))
39.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
75.8%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
73.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
99.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
57.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
42.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Compiler

Compiled 496 to 264 computations (46.8% saved)

simplify261.0ms (2%)

Memory
-19.6MiB live, 443.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff64
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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)) #s(approx (exp (neg (* (- 1 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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff64
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
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)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))
cost-diff320
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
cost-diff768
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
cost-diff0
(exp.f64 (-.f64 (*.f64 x eps) x))
cost-diff0
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
Rules
11 464×lower-fma.f32
11 452×lower-fma.f64
3 564×lower--.f32
3 552×lower--.f64
3 500×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070844
0122839
1256829
2782813
33770798
08197779
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))
(fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
(+.f64 #s(literal -1 binary64) eps)
(+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))
(/.f64 (+.f64 #s(literal -1 binary64) eps) 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)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#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)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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)) #s(approx (exp (neg (* (- 1 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 (-.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)) #s(approx (exp (neg (* (- 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
#s(approx (exp (neg (* (- 1 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)))
(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
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(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)
x
eps
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(fma.f64 x eps x)
(fma.f64 eps x x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 eps #s(literal -1 binary64)) eps) (fma.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (neg.f64 eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 eps #s(literal -1 binary64)) eps) (fma.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (neg.f64 eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
(+.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 eps #s(literal -1 binary64)) eps) (fma.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (neg.f64 eps) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))) (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) eps)
eps
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 eps (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))))))
(fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
(fma.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))))
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps))))
(+.f64 #s(literal -1 binary64) eps)
(+.f64 eps #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))
(+.f64 eps (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))
(/.f64 (+.f64 #s(literal -1 binary64) eps) eps)
(/.f64 (+.f64 eps #s(literal -1 binary64)) eps)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 (-.f64 (/.f64 #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) eps) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 eps x) x)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) (/.f64 #s(approx (exp (neg (* (+ 1 eps) x))) #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 (-.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)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) eps) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) #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)) #s(approx (exp (neg (* (- 1 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) #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
#s(approx (exp (neg (* (- 1 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)))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
(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 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x) #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 eps #s(literal 1/2 binary64) #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 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#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 eps x x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)

localize331.0ms (2.6%)

Memory
17.3MiB live, 562.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(*.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))
accuracy2.8257072919335933
(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))
accuracy15.499999999997478
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
accuracy28.10727135129044
#s(approx (exp (neg (* (- 1 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)))
accuracy0.00390625
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy15.499999999997478
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))
accuracy36.99143274735364
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
accuracy5.030817201037822
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
accuracy18.605111781140387
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
accuracy24.88696073502889
(fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
accuracy29.088808368419762
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
accuracy36.793839520773204
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
accuracy0.00390625
(exp.f64 (-.f64 (*.f64 x eps) x))
accuracy0.00390625
(exp.f64 (neg.f64 (fma.f64 x eps x)))
accuracy0.015625
(-.f64 (*.f64 x eps) x)
accuracy0.3024004356261579
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
Samples
85.0ms108×1valid
71.0ms116×0valid
47.0ms32×2valid
Compiler

Compiled 719 to 53 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 69.0ms (45.7% of total)
ival-add: 24.0ms (15.9% of total)
adjust: 22.0ms (14.6% of total)
ival-exp: 13.0ms (8.6% of total)
ival-div: 11.0ms (7.3% of total)
ival-sub: 8.0ms (5.3% of total)
ival-neg: 4.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.4%)

Memory
-5.7MiB live, 110.2MiB allocated
Counts
27 → 624
Calls
Call 1
Inputs
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))>
#<alt (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))>
#<alt (exp.f64 (-.f64 (*.f64 x eps) x))>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))>
#<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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x)>
#<alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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 x eps) x)>
#<alt (exp.f64 (neg.f64 (fma.f64 x eps x)))>
#<alt (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))>
#<alt (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))>
#<alt #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) eps) x)>
#<alt (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))>
#<alt #s(approx (exp (neg (* (- 1 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)))>
#<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))>
Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<alt (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt 1>
#<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 (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (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 (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))>
#<alt (* 2 (exp (neg x)))>
#<alt (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))>
#<alt (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))))))>
#<alt (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x)))))) (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (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))>
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#<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>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps 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)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt -2>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<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 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps 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 x>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (* 1/2 (* (pow x 2) (pow (- eps 1) 2)))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (+ (/ 1 (pow x 2)) (/ eps x))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (+ (/ 1 (pow x 2)) (/ eps x))) (/ 1 x)))>
#<alt (* 1/2 (* (pow x 2) (pow (- eps 1) 2)))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))))>
#<alt (+ 1 (* -1 (* x (+ 1 (* -1/2 x)))))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (* x (+ 1 (* -1 x))))))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (+ 1 (* -1 x)))))))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (+ 1 (* -1 x)))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (+ 1 (* -1 x))) eps)))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (+ 1 (* -1 x))) eps)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (* -1 (/ (+ 1 (* -1 (* x (+ 1 (* -1/2 x))))) eps))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (* -1 (/ (+ 1 (* -1 (* x (+ 1 (* -1/2 x))))) eps))) eps)) (* 1/2 (pow x 2))))>
#<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)))>
Calls

156 calls:

TimeVariablePointExpression
10.0ms
eps
@inf
(+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1)
5.0ms
x
@inf
(* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x)))))
3.0ms
x
@0
(+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
1.0ms
eps
@0
(+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1)
1.0ms
x
@0
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))

simplify366.0ms (2.8%)

Memory
20.1MiB live, 617.0MiB allocated
Algorithm
egg-herbie
Rules
13 204×lower-fma.f64
13 204×lower-fma.f32
6 178×lower-*.f64
6 178×lower-*.f32
4 086×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059212240
1198711256
2682611225
0812110709
Stop Event
iter limit
node limit
Counts
624 → 622
Calls
Call 1
Inputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
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(+ 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))))))))
(+ 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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 (* x (+ 1 (* -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
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps 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)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
-2
(- (* 2 (pow eps 2)) 2)
(- (* 2 (pow eps 2)) 2)
(- (* 2 (pow eps 2)) 2)
(* 2 (pow eps 2))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* 2 (pow eps 2))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(exp (neg x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
x
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 (* eps x))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
1
(+ 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)))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (exp.f64 (neg.f64 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))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (exp.f64 (neg.f64 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))))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (exp.f64 (neg.f64 x))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (exp.f64 (neg.f64 x))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(*.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)))))
(+ (* 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)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
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1
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1
#s(literal 1 binary64)
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(* (pow x 2) (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))))
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(* (pow x 2) (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))))
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(+ 1 (* -1 (* x (+ 1 (* -1/2 x)))))
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(+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (* x (+ 1 (* -1 x))))))
(fma.f64 x (-.f64 eps (*.f64 x eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
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(+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (+ 1 (* -1 x)))))))
(fma.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) x) (*.f64 x x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
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(* 1/2 (* (pow eps 2) (pow x 2)))
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(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (/.f64 (-.f64 x (*.f64 x x)) eps)))
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(- eps 1)
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(- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)
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(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))))
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(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))))
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(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
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(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) x) eps)))
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(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) x) eps)))

rewrite653.0ms (5.1%)

Memory
-32.6MiB live, 530.7MiB allocated
Rules
5 152×lower-fma.f32
5 140×lower-fma.f64
4 944×lower-*.f32
4 920×lower-*.f64
2 188×lower-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070629
0122630
1496604
24980604
08176604
Stop Event
iter limit
node limit
iter limit
Counts
27 → 662
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))
(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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (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 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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 x eps) x)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
(fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
#s(approx (exp (neg (* (- 1 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)))
(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))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 eps x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 (*.f64 eps x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(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 eps x)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(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 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(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 (neg.f64 eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (pow.f64 (exp.f64 (*.f64 eps x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (+.f64 (exp.f64 (fma.f64 eps x (fma.f64 eps x x))) (*.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 (+.f64 x (fma.f64 eps x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) (exp.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) eps) (*.f64 eps x)))) (exp.f64 (+.f64 (fma.f64 eps x x) x)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 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 eps)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) eps)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 eps (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))))) (-.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 eps (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (fma.f64 eps (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))

eval478.0ms (3.7%)

Memory
46.3MiB live, 383.6MiB allocated
Compiler

Compiled 59 271 to 3 449 computations (94.2% saved)

prune234.0ms (1.8%)

Memory
-31.1MiB live, 364.1MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1 283151 298
Fresh224
Picked415
Done000
Total1 289181 307
Accuracy
100.0%
Counts
1 307 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
32.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
75.8%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
74.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
60.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
72.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
61.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
61.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
83.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
63.8%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
57.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
37.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x)))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.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 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
41.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
33.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
72.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
42.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
71.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
42.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Compiler

Compiled 798 to 437 computations (45.2% saved)

simplify263.0ms (2%)

Memory
20.5MiB live, 442.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
cost-diff128
(-.f64 (fma.f64 x (*.f64 eps eps) eps) x)
cost-diff0
#s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
cost-diff0
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
Rules
14 766×lower-fma.f32
14 754×lower-fma.f64
5 234×lower-*.f32
5 218×lower-*.f64
3 398×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0801031
01151031
12571026
27541016
33554971
08790930
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
#s(approx (- (* x eps) x) (*.f64 x eps))
(*.f64 x eps)
x
eps
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))
eps
(*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))
(-.f64 x (/.f64 x (*.f64 eps eps)))
(/.f64 x (*.f64 eps eps))
(*.f64 eps eps)
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))
(/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)
(fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64))
(-.f64 (fma.f64 x (*.f64 eps eps) eps) x)
(fma.f64 x (*.f64 eps eps) eps)
(*.f64 eps eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
x
eps
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))
#s(approx (- (* x eps) x) (*.f64 x eps))
#s(approx (- (* x eps) x) (*.f64 eps x))
(*.f64 x eps)
(*.f64 eps x)
x
eps
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(fma.f64 x eps x)
(fma.f64 eps x x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 (*.f64 eps eps) (-.f64 x (/.f64 x (*.f64 eps eps))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 (*.f64 eps eps) (-.f64 x (/.f64 x (*.f64 eps eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))
#s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 (*.f64 eps eps) (-.f64 x (/.f64 x (*.f64 eps eps)))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))
(*.f64 (*.f64 eps eps) (-.f64 x (/.f64 x (*.f64 eps eps))))
eps
(*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))
(-.f64 x (/.f64 x (*.f64 eps eps)))
(/.f64 x (*.f64 eps eps))
(*.f64 eps eps)
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))
(+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps)))
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) eps)
eps
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps))
(/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)
(/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps)
(fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64))
(fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64))
(-.f64 (fma.f64 x (*.f64 eps eps) eps) x)
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(fma.f64 x (*.f64 eps eps) eps)
(fma.f64 eps (*.f64 eps x) eps)
(*.f64 eps eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)))
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(fma.f64 x eps x)
(fma.f64 eps x x)
x
eps

localize324.0ms (2.5%)

Memory
-11.5MiB live, 559.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (fma.f64 x eps x))
accuracy0.00390625
(exp.f64 (neg.f64 (fma.f64 x eps x)))
accuracy0.3024004356261579
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
accuracy36.98496295625584
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
accuracy5.929828876118877
(/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)
accuracy6.408237388687392
(fma.f64 x (*.f64 eps eps) eps)
accuracy18.605111781140387
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
accuracy29.088808368419762
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))
accuracy4.771994259738847
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))
accuracy7.368506796672326
(*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))
accuracy8.712131779807335
(/.f64 x (*.f64 eps eps))
accuracy18.605111781140387
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
accuracy0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy0
(*.f64 x #s(literal -1/2 binary64))
accuracy18.605111781140387
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy27.210811177054754
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy0.00390625
(exp.f64 (neg.f64 (fma.f64 x eps x)))
accuracy0.00390625
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
accuracy0.3024004356261579
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
accuracy27.625978359598232
#s(approx (- (* x eps) x) (*.f64 x eps))
Samples
136.0ms108×1valid
47.0ms116×0valid
37.0ms32×2valid
Compiler

Compiled 714 to 63 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-mult: 61.0ms (33.9% of total)
ival-div: 39.0ms (21.7% of total)
ival-add: 26.0ms (14.5% of total)
adjust: 22.0ms (12.2% of total)
ival-exp: 13.0ms (7.2% of total)
ival-sub: 12.0ms (6.7% of total)
ival-neg: 5.0ms (2.8% of total)
exact: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
-3.2MiB live, 73.8MiB allocated
Counts
28 → 636
Calls
Call 1
Inputs
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))>
#<alt (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))>
#<alt (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))>
#<alt (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))>
#<alt (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))>
#<alt #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))>
#<alt #s(approx (- (* x eps) x) (*.f64 x eps))>
#<alt (exp.f64 (neg.f64 (fma.f64 x eps x)))>
#<alt (/.f64 x (*.f64 eps eps))>
#<alt (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))>
#<alt (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))>
#<alt (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))>
#<alt (fma.f64 x (*.f64 eps eps) eps)>
#<alt (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)>
#<alt (neg.f64 (fma.f64 x eps x))>
Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<alt (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt 1>
#<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 (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt 2>
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#<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))>
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#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps 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)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (/ x (pow eps 2))>
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#<alt (/ x (pow eps 2))>
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#<alt (/ x (pow eps 2))>
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#<alt (/ x (pow eps 2))>
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#<alt (/ x (pow eps 2))>
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#<alt (/ (+ (* -1 x) (* (pow eps 2) x)) eps)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* eps (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* eps (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* eps (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* eps (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* eps (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* eps (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* eps (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* eps (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* eps (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* eps (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* eps (* x (- (/ 1 (pow eps 2)) 1))))>
#<alt (* -1 (* eps (* x (- (/ 1 (pow eps 2)) 1))))>
#<alt (* -1 (* eps (* x (- (/ 1 (pow eps 2)) 1))))>
#<alt (* -1 (* eps (* x (- (/ 1 (pow eps 2)) 1))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* (pow eps 2) (* x (- (/ 1 (pow eps 2)) 1))))>
#<alt (* -1 (* (pow eps 2) (* x (- (/ 1 (pow eps 2)) 1))))>
#<alt (* -1 (* (pow eps 2) (* x (- (/ 1 (pow eps 2)) 1))))>
#<alt (* -1 (* (pow eps 2) (* x (- (/ 1 (pow eps 2)) 1))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt eps>
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#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt eps>
#<alt (* eps (+ 1 (* eps x)))>
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#<alt (* eps (+ 1 (* eps x)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (/ -1 eps)>
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#<alt (/ (- (* eps (+ eps (* -1 x))) 1) eps)>
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#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))) (/ 1 (pow eps 3))))>
#<alt (* (pow eps 2) x)>
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#<alt (/ (- (pow eps 2) 1) eps)>
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#<alt (* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))>
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#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (* -1 (* eps x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
Calls

159 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/ x (* eps eps))
0.0ms
x
@-inf
(/ (+ (* eps (- (+ (* x (* eps eps)) eps) x)) -1) eps)
0.0ms
x
@inf
(/ x (* eps eps))
0.0ms
x
@-inf
(/ x (* eps eps))
0.0ms
x
@0
(/ (+ (* eps (- (+ (* x (* eps eps)) eps) x)) -1) eps)

simplify286.0ms (2.2%)

Memory
1.7MiB live, 479.2MiB allocated
Algorithm
egg-herbie
Rules
10 278×lower-fma.f64
10 278×lower-fma.f32
6 398×lower-*.f64
6 398×lower-*.f32
2 242×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043811214
1146010416
2499110150
083139642
Stop Event
iter limit
node limit
Counts
636 → 633
Calls
Call 1
Inputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
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 (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(exp (neg x))
(+ (exp (neg x)) (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x)))))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
2
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(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x (pow eps 2)))))
(* -1 (* eps (+ (* -1 x) (/ x (pow eps 2)))))
(* -1 (* eps (+ (* -1 x) (/ x (pow eps 2)))))
(* eps (* x (- 1 (/ 1 (pow eps 2)))))
(* eps (* x (- 1 (/ 1 (pow eps 2)))))
(* eps (* x (- 1 (/ 1 (pow eps 2)))))
(* eps (* x (- 1 (/ 1 (pow eps 2)))))
(* eps (* x (- 1 (/ 1 (pow eps 2)))))
(* eps (* x (- 1 (/ 1 (pow eps 2)))))
(* eps (* x (- 1 (/ 1 (pow eps 2)))))
(* eps (* x (- 1 (/ 1 (pow eps 2)))))
(* -1 (* eps (* x (- (/ 1 (pow eps 2)) 1))))
(* -1 (* eps (* x (- (/ 1 (pow eps 2)) 1))))
(* -1 (* eps (* x (- (/ 1 (pow eps 2)) 1))))
(* -1 (* eps (* x (- (/ 1 (pow eps 2)) 1))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))
(* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))
(* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))
(* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))
(* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))
(* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))
(* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))
(* (pow eps 2) (* x (- 1 (/ 1 (pow eps 2)))))
(* -1 (* (pow eps 2) (* x (- (/ 1 (pow eps 2)) 1))))
(* -1 (* (pow eps 2) (* x (- (/ 1 (pow eps 2)) 1))))
(* -1 (* (pow eps 2) (* x (- (/ 1 (pow eps 2)) 1))))
(* -1 (* (pow eps 2) (* x (- (/ 1 (pow eps 2)) 1))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* (pow eps 2) x))
(+ eps (* (pow eps 2) x))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(* x (+ (/ eps x) (pow eps 2)))
(* x (+ (/ eps x) (pow eps 2)))
(* (pow eps 2) x)
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
eps
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* eps x)))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(/ -1 eps)
(/ (- (* -1 (* eps x)) 1) eps)
(/ (- (* eps (+ eps (* -1 x))) 1) eps)
(/ (- (* eps (+ (* -1 x) (* eps (+ 1 (* eps x))))) 1) eps)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))
(* (pow eps 2) (- (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))) (/ 1 (pow eps 3))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (* -1 (/ (- (* -1 x) (/ 1 eps)) eps)) 1) eps))))
(/ (- (pow eps 2) 1) eps)
(- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))
(- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))
(- (+ eps (* x (- (pow eps 2) 1))) (/ 1 eps))
(* x (- (pow eps 2) 1))
(* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))
(* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))
(* x (- (+ (/ eps x) (pow eps 2)) (+ 1 (/ 1 (* eps x)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (- eps (/ 1 eps)) x)) (* -1 (pow eps 2))))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 x)
(- (* -1 (* eps x)) x)
(- (* -1 (* eps x)) x)
(- (* -1 (* eps x)) x)
(* -1 (* eps x))
(* eps (- (* -1 (/ x eps)) x))
(* eps (- (* -1 (/ x eps)) x))
(* eps (- (* -1 (/ x eps)) x))
(* -1 (* eps x))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 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)))))
(+ (* 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)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 (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)))) eps))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 (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)))) eps))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 (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)))) eps))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 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)))))
(+ (* -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)))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 (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)))) eps))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 (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)))) eps))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 (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)))) eps))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(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))
(+ 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))))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (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 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.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) x))) (*.f64 #s(literal 1/2 binary64) (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))))) #s(literal 1 binary64))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
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eps
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eps
(* eps (+ 1 (* eps x)))
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rewrite312.0ms (2.4%)

Memory
-5.0MiB live, 462.9MiB allocated
Rules
5 700×lower-fma.f32
5 688×lower-fma.f64
5 100×lower-*.f32
5 084×lower-*.f64
2 410×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080888
0115888
1546873
25516873
08360855
Stop Event
iter limit
node limit
iter limit
Counts
28 → 421
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))
(-.f64 (fma.f64 x (*.f64 eps eps) eps) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
#s(approx (- (* x eps) x) (*.f64 x eps))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(/.f64 x (*.f64 eps eps))
(*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))
(fma.f64 x (*.f64 eps eps) eps)
(/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)
(neg.f64 (fma.f64 x eps x))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps 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 #s(approx (- (* x eps) x) (*.f64 eps x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps 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 #s(approx (- (* x eps) x) (*.f64 eps x)))))
(fma.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps 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 #s(approx (- (* x eps) x) (*.f64 eps x)))))
(/.f64 (fma.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps 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 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(-.f64 (/.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps 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 #s(approx (- (* x eps) x) (*.f64 eps x))))
(fma.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (neg.f64 x)) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 (*.f64 eps x)) #s(literal -1 binary64)) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps 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 eps x)) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps 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 eps x)) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(fma.f64 (pow.f64 (exp.f64 (*.f64 eps x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x))))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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eval314.0ms (2.4%)

Memory
4.3MiB live, 371.4MiB allocated
Compiler

Compiled 32 780 to 2 099 computations (93.6% saved)

prune212.0ms (1.6%)

Memory
-9.7MiB live, 227.5MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 174121 186
Fresh5712
Picked415
Done011
Total1 183211 204
Accuracy
100.0%
Counts
1 204 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
32.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
75.8%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
44.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
44.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
74.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
60.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
75.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
84.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
62.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
64.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
56.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
48.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
57.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
41.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
41.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
33.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
46.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
72.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
71.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
42.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Compiler

Compiled 952 to 499 computations (47.6% saved)

simplify321.0ms (2.5%)

Memory
22.2MiB live, 292.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
cost-diff128
(-.f64 (fma.f64 x (*.f64 eps eps) eps) x)
cost-diff2560
(/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x))
cost-diff0
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
cost-diff0
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
cost-diff0
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
cost-diff0
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))))
cost-diff0
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
Rules
10 992×lower-fma.f32
10 972×lower-fma.f64
3 966×lower-+.f32
3 954×lower-+.f64
3 690×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011423
01491407
13161392
28831282
340321234
081621183
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
#s(approx (- (* x eps) x) (*.f64 x eps))
(*.f64 x eps)
x
eps
(exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))
#s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(neg.f64 eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x eps x))
(fma.f64 x eps x)
x
eps
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(literal -1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))
(/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)
(fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64))
#s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps)))
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps)))
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))
(/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps)
(fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x))
(*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x))
(fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)
(fma.f64 eps x #s(literal 1 binary64))
(-.f64 (fma.f64 x (*.f64 eps eps) eps) x)
(fma.f64 x (*.f64 eps eps) eps)
(*.f64 eps eps)
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))
#s(approx (- (* x eps) x) (*.f64 x eps))
#s(approx (- (* x eps) x) (*.f64 eps x))
(*.f64 x eps)
(*.f64 eps x)
x
eps
(exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))
(exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))
#s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))
#s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(neg.f64 eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 eps x x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 eps x x)))))
#s(literal 1/2 binary64)
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 eps x x))))
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
#s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 eps x x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x eps x))
(-.f64 #s(literal 1 binary64) (fma.f64 eps x x))
(fma.f64 x eps x)
(fma.f64 eps x x)
x
eps
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/4 binary64)
#s(literal -1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 eps (*.f64 eps x))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 eps (*.f64 eps x))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))
(+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 eps (*.f64 eps x))) #s(literal -1 binary64)) eps)))
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) eps)
eps
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 eps (*.f64 eps x))) #s(literal -1 binary64)) eps))
(/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)
(/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 eps (*.f64 eps x))) #s(literal -1 binary64)) eps)
(fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64))
(fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 eps (*.f64 eps x))) #s(literal -1 binary64))
#s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps)))
#s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 eps (*.f64 eps x)))
(*.f64 x (*.f64 eps eps))
(*.f64 eps (*.f64 eps x))
(*.f64 eps eps)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps)))
(+.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps)))
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) eps)
eps
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))
#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps))
(/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps)
(/.f64 (fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64)) eps)
(fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64))
(fma.f64 eps (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x))
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x))
(*.f64 (fma.f64 eps (fma.f64 eps x #s(literal 1 binary64)) x) (fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps))
(fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)
(fma.f64 eps (fma.f64 eps x #s(literal 1 binary64)) x)
(fma.f64 eps x #s(literal 1 binary64))
(-.f64 (fma.f64 x (*.f64 eps eps) eps) x)
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(fma.f64 x (*.f64 eps eps) eps)
(fma.f64 eps (*.f64 eps x) eps)
(*.f64 eps eps)

localize390.0ms (3%)

Memory
0.5MiB live, 255.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.408237388687392
(fma.f64 x (*.f64 eps eps) eps)
accuracy18.605111781140387
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
accuracy29.088808368419762
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps)))
accuracy35.843594455379794
(/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x))
accuracy7.574018915799161
(*.f64 x (*.f64 eps eps))
accuracy18.605111781140387
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
accuracy29.088808368419762
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))
accuracy35.932132474785774
#s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps)))
accuracy0.09765625
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy18.605111781140387
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
accuracy22.775273883715997
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy27.210811177054754
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy0
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))))
accuracy0.3024004356261579
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
accuracy32.26754376365461
#s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
accuracy36.98496295625584
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
accuracy0.00390625
(exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))
accuracy0.3024004356261579
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
accuracy26.910902042065562
#s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))
accuracy27.625978359598232
#s(approx (- (* x eps) x) (*.f64 x eps))
Samples
152.0ms108×1valid
63.0ms32×2valid
50.0ms116×0valid
Compiler

Compiled 931 to 77 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-mult: 102.0ms (47.8% of total)
ival-div: 29.0ms (13.6% of total)
ival-add: 27.0ms (12.7% of total)
adjust: 26.0ms (12.2% of total)
ival-exp: 13.0ms (6.1% of total)
ival-sub: 10.0ms (4.7% of total)
ival-neg: 4.0ms (1.9% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series233.0ms (1.8%)

Memory
-32.9MiB live, 10.8MiB allocated
Counts
29 → 648
Calls
Call 1
Inputs
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))))>
#<alt (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))>
#<alt (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))))>
#<alt (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))>
#<alt #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))>
#<alt #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))>
#<alt (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))>
#<alt (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x))>
#<alt (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)>
#<alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))>
#<alt #s(approx (- (* x eps) x) (*.f64 x eps))>
#<alt #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))>
#<alt (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))>
#<alt #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))>
#<alt (*.f64 (*.f64 x x) (*.f64 x x))>
#<alt #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps)))>
#<alt (*.f64 x (*.f64 eps eps))>
#<alt (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps)))>
#<alt (fma.f64 x (*.f64 eps eps) eps)>
Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
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#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
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#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt eps>
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#<alt (+ eps (* x (- (pow eps 2) 1)))>
#<alt (+ eps (* x (- (pow eps 2) 1)))>
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#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 x)>
#<alt (- eps x)>
#<alt (- (* eps (+ 1 (* eps x))) x)>
#<alt (- (* eps (+ 1 (* eps x))) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))>
#<alt (* 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))))))))))))>
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#<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))))))))>
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#<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>
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#<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))))>
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#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt 1>
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#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
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#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
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#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
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#<alt (* x (- eps 1))>
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#<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 (* x (+ 1 eps)))>
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#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (* -1 (* eps x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
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#<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)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (+ x (* eps x))))>
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#<alt (exp (neg (+ x (* eps x))))>
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#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
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#<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)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
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#<alt (exp (neg (+ x (* eps x))))>
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#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt eps>
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#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* x (- (+ (/ eps x) (pow eps 2)) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))>
#<alt (* -1 x)>
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#<alt (- (* eps (+ 1 (* eps x))) x)>
#<alt (- (* eps (+ 1 (* eps x))) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))>
#<alt (* (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)>
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#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt eps>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
Calls

162 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ (* (* (* x x) (* x x)) 1/4) -1) (+ (* x (* x -1/2)) -1))
0.0ms
x
@0
(/ (+ (* (* (* x x) (* x x)) 1/4) -1) (+ (* x (* x -1/2)) -1))
0.0ms
x
@inf
(* x (* eps eps))
0.0ms
x
@inf
(+ (* (* (* x x) (* x x)) 1/4) -1)
0.0ms
x
@-inf
(* x (* eps eps))

simplify370.0ms (2.9%)

Memory
11.1MiB live, 204.3MiB allocated
Algorithm
egg-herbie
Rules
10 072×lower-fma.f64
10 072×lower-fma.f32
6 084×lower-*.f64
6 084×lower-*.f32
2 400×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039211205
1130510427
244349802
081609265
Stop Event
iter limit
node limit
Counts
648 → 643
Calls
Call 1
Inputs
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1
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1
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1
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2
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1
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(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
1
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 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 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 x)
(- (* -1 (* eps x)) x)
(- (* -1 (* eps x)) x)
(- (* -1 (* eps x)) x)
(* -1 (* eps x))
(* eps (- (* -1 (/ x eps)) x))
(* eps (- (* -1 (/ x eps)) x))
(* eps (- (* -1 (/ x eps)) x))
(* -1 (* eps x))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps 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)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps 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)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
eps
(+ eps (* x (- (pow eps 2) 1)))
(+ eps (* x (- (pow eps 2) 1)))
(+ eps (* x (- (pow eps 2) 1)))
(* x (- (pow eps 2) 1))
(* x (- (+ (/ eps x) (pow eps 2)) 1))
(* x (- (+ (/ eps x) (pow eps 2)) 1))
(* x (- (+ (/ eps x) (pow eps 2)) 1))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))
(* -1 x)
(- eps x)
(- (* eps (+ 1 (* eps x))) x)
(- (* eps (+ 1 (* eps x))) x)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))
(* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* (pow eps 2) x))
(+ eps (* (pow eps 2) x))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(* x (+ (/ eps x) (pow eps 2)))
(* x (+ (/ eps x) (pow eps 2)))
(* (pow eps 2) x)
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
eps
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* eps x)))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
(* (pow eps 2) (+ x (/ 1 eps)))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) 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))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) 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))))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
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(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 1 eps))))
(-.f64 #s(literal 1 binary64) (fma.f64 x eps x))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (- (* -1 x) (* eps x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (- (* -1 x) (* eps x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (- (* -1 x) (* eps x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (- (* -1 x) (* eps x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(fma.f64 (exp.f64 (neg.f64 x)) (*.f64 x (neg.f64 eps)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(fma.f64 eps (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))) (exp.f64 (neg.f64 x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
eps
(+ eps (* x (- (pow eps 2) 1)))
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(+ eps (* x (- (pow eps 2) 1)))
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(+ eps (* x (- (pow eps 2) 1)))
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(* x (- (pow eps 2) 1))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* x (- (+ (/ eps x) (pow eps 2)) 1))
(fma.f64 x (fma.f64 eps eps (/.f64 eps x)) (neg.f64 x))
(* x (- (+ (/ eps x) (pow eps 2)) 1))
(fma.f64 x (fma.f64 eps eps (/.f64 eps x)) (neg.f64 x))
(* x (- (+ (/ eps x) (pow eps 2)) 1))
(fma.f64 x (fma.f64 eps eps (/.f64 eps x)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))
(fma.f64 x (fma.f64 eps eps (/.f64 eps x)) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))
(fma.f64 x (fma.f64 eps eps (/.f64 eps x)) (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 (/ eps x)) (* -1 (pow eps 2))))))
(fma.f64 x (fma.f64 eps eps (/.f64 eps x)) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(- eps x)
(-.f64 eps x)
(- (* eps (+ 1 (* eps x))) x)
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(- (* eps (+ 1 (* eps x))) x)
(fma.f64 x (fma.f64 eps eps #s(literal -1 binary64)) eps)
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (/.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 eps))))
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (/.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (/.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) (+ x (* -1 (/ (- (/ x eps) 1) eps))))
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (/.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* (pow eps 2) x))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(+ (* -1 x) (* (pow eps 2) x))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(+ (* -1 x) (* (pow eps 2) x))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(fma.f64 x (*.f64 eps eps) (/.f64 (*.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(fma.f64 x (*.f64 eps eps) (/.f64 (*.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(fma.f64 x (*.f64 eps eps) (/.f64 (*.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(fma.f64 x (*.f64 eps eps) (/.f64 (*.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(fma.f64 x (*.f64 eps eps) (/.f64 (*.f64 x (neg.f64 eps)) eps))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(fma.f64 x (*.f64 eps eps) (/.f64 (*.f64 x (neg.f64 eps)) eps))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
eps
(+ eps (* (pow eps 2) x))
(fma.f64 x (*.f64 eps eps) eps)
(+ eps (* (pow eps 2) x))
(fma.f64 x (*.f64 eps eps) eps)
(+ eps (* (pow eps 2) x))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* x (+ (/ eps x) (pow eps 2)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(* x (+ (/ eps x) (pow eps 2)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(* x (+ (/ eps x) (pow eps 2)))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(*.f64 x (fma.f64 eps eps (/.f64 eps x)))
eps
(* eps (+ 1 (* eps x)))
(fma.f64 x (*.f64 eps eps) eps)
(* eps (+ 1 (* eps x)))
(fma.f64 x (*.f64 eps eps) eps)
(* eps (+ 1 (* eps x)))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 x (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 x (*.f64 eps eps) eps)

rewrite635.0ms (4.9%)

Memory
29.7MiB live, 424.7MiB allocated
Rules
4 354×lower-fma.f32
4 334×lower-fma.f64
4 312×lower-*.f32
4 290×lower-*.f64
2 802×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011071
01491045
1678954
26634954
08303933
Stop Event
iter limit
node limit
iter limit
Counts
29 → 432
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))))
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))))
(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))
#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))
(/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x))
(-.f64 (fma.f64 x (*.f64 eps eps) eps) x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
#s(approx (- (* x eps) x) (*.f64 x eps))
#s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))
(exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))
#s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps)))
(*.f64 x (*.f64 eps eps))
(+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps)))
(fma.f64 x (*.f64 eps eps) eps)
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))))
(fma.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))
(fma.f64 (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))
(*.f64 (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))
(+.f64 (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))))
(-.f64 (/.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))) (/.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))) (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))) (neg.f64 (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x))))) (-.f64 (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))) (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))) (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(literal 3 binary64))) (exp.f64 (*.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (-.f64 (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))))) (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))))
(*.f64 (-.f64 (exp.f64 (+.f64 #s(approx (- (* x eps) x) (*.f64 eps x)) #s(approx (- (* x eps) x) (*.f64 eps x)))) (exp.f64 (+.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x))) #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 x)))))))
(exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 eps x x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 eps x x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 eps x x)))) (*.f64 #s(literal 1/2 binary64) #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))))
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(fma.f64 (*.f64 eps eps) x eps)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 x (*.f64 eps eps))))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 eps eps)) eps) (*.f64 (fma.f64 eps (*.f64 eps x) eps) (-.f64 (*.f64 x (*.f64 eps eps)) eps))))
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 x (*.f64 eps eps))))))
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 x (*.f64 eps eps)))) (*.f64 eps (*.f64 x (*.f64 eps eps))))))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps x) eps) (-.f64 (*.f64 x (*.f64 eps eps)) eps)) (-.f64 (*.f64 x (*.f64 eps eps)) eps))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps x) eps) (-.f64 (*.f64 x (*.f64 eps eps)) eps))) (neg.f64 (-.f64 (*.f64 x (*.f64 eps eps)) eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 x (*.f64 eps eps))))) (-.f64 eps (*.f64 x (*.f64 eps eps))))
(/.f64 (*.f64 eps (fma.f64 (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))) (fma.f64 eps (*.f64 eps (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (*.f64 eps (fma.f64 eps (*.f64 eps (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 eps x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) eps) (fma.f64 eps (*.f64 eps (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 eps x))))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps (*.f64 x x)) #s(literal -1 binary64)) eps) (fma.f64 eps x #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 x (*.f64 eps eps))))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 eps eps)) eps) (*.f64 (fma.f64 eps (*.f64 eps x) eps) (-.f64 (*.f64 x (*.f64 eps eps)) eps))) #s(literal -1 binary64))
(*.f64 eps (fma.f64 eps x #s(literal 1 binary64)))
(*.f64 (fma.f64 eps x #s(literal 1 binary64)) eps)
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))
(*.f64 (*.f64 (fma.f64 eps (*.f64 eps x) eps) (-.f64 (*.f64 x (*.f64 eps eps)) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 eps eps)) eps)))

eval225.0ms (1.7%)

Memory
11.0MiB live, 243.2MiB allocated
Compiler

Compiled 37 877 to 2 123 computations (94.4% saved)

prune116.0ms (0.9%)

Memory
-31.8MiB live, 261.9MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New1 08361 089
Fresh21214
Picked235
Done022
Total1 087231 110
Accuracy
100.0%
Counts
1 110 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
32.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
75.8%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
44.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
74.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
60.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
75.3%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
84.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
62.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
47.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) (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))) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
64.0%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
56.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
56.7%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
48.9%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
57.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
41.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
50.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
33.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
46.4%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
72.6%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
42.1%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
71.2%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
42.5%
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Compiler

Compiled 1 504 to 481 computations (68% saved)

regimes70.0ms (0.5%)

Memory
4.8MiB live, 119.8MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) (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))) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x)))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.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 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x 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 (-.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 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
Calls

4 calls:

32.0ms
(-.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
x
12.0ms
eps
10.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%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))
99.5%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)

regimes52.0ms (0.4%)

Memory
-6.9MiB live, 144.5MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x)))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.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 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
Calls

4 calls:

14.0ms
x
13.0ms
eps
11.0ms
(-.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)))))
11.0ms
(/.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
90.2%2x
100.0%2eps
100.0%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
100.0%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes38.0ms (0.3%)

Memory
6.8MiB live, 86.9MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) (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))) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x)))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.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 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 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))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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:

15.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
12.0ms
eps
8.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
95.2%2eps
95.2%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
95.2%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes33.0ms (0.3%)

Memory
17.1MiB live, 93.2MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) (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))) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x)))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.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 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
Calls

3 calls:

11.0ms
eps
10.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
8.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.0%3eps
94.8%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))
94.8%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)))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes22.0ms (0.2%)

Memory
-27.0MiB live, 56.1MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) (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))) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x) (-.f64 (fma.f64 x (*.f64 eps eps) eps) x)) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) eps x)) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x)))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.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 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
Calls

2 calls:

11.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
7.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.3%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))
94.3%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 60 to 36 computations (40% saved)

regimes30.0ms (0.2%)

Memory
3.2MiB live, 80.7MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) (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))) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) eps) x) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)))
Calls

4 calls:

7.0ms
eps
7.0ms
x
7.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
85.4%3x
83.7%2eps
87.3%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))
87.3%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 66 to 40 computations (39.4% saved)

regimes11.0ms (0.1%)

Memory
35.4MiB live, 35.3MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps (*.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
Calls

2 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
(/.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
86.2%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
86.2%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes23.0ms (0.2%)

Memory
-29.0MiB live, 29.9MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
Calls

4 calls:

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)))))
3.0ms
eps
3.0ms
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
75.3%1eps
83.3%2x
77.9%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))
77.9%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)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes13.0ms (0.1%)

Memory
-13.2MiB live, 26.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
Calls

3 calls:

7.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
3.0ms
x
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))
Results
AccuracySegmentsBranch
77.9%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))
77.9%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)))))
75.1%3x
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes10.0ms (0.1%)

Memory
-9.2MiB live, 29.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
Calls

4 calls:

3.0ms
x
2.0ms
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)))))
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))
Results
AccuracySegmentsBranch
48.9%1x
48.9%1eps
48.9%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
48.9%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes7.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Accuracy

Total -0.8b remaining (-2.2%)

Threshold costs -0.8b (-2.2%)

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

4 calls:

2.0ms
eps
2.0ms
x
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
42.5%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
42.5%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
42.5%1x
42.5%1eps
Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
12.401496509149604
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
12.401496509149604
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
12.401496509149604
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
12.401496509149604
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch39.0ms (0.3%)

Memory
-12.9MiB live, 105.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
0.001994585943309913
1479.3998019707817
Samples
15.0ms42×1valid
10.0ms99×0valid
1.0ms2valid
Compiler

Compiled 304 to 177 computations (41.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-exp: 8.0ms (36.5% of total)
ival-mult: 4.0ms (18.3% of total)
ival-div: 3.0ms (13.7% of total)
ival-sub: 2.0ms (9.1% of total)
ival-add: 2.0ms (9.1% of total)
adjust: 2.0ms (9.1% of total)
ival-neg: 2.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
12.401496509149604
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify43.0ms (0.3%)

Memory
8.2MiB live, 87.4MiB allocated
Algorithm
egg-herbie
Rules
262×distribute-lft-neg-in_binary64
158×neg-mul-1_binary64
140×neg-sub0_binary64
104×*-commutative_binary64
100×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01581579
12191579
22691564
33281564
43791564
54611564
65451564
76491564
87591564
98351564
108841564
119111564
129221564
139261564
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x 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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 eps))))))))
(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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal 280 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (neg.f64 (fma.f64 x 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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 x eps))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 x (neg.f64 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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 eps (neg.f64 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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 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 (-.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 (*.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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64)))))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.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)))
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(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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (neg (+ (* x eps) x))))) (exp.f64 (neg.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (/.f64 (fma.f64 eps #s(approx (- (+ (* x (* eps eps)) eps) x) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))))
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(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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal 280 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 x eps)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal 280 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (*.f64 eps #s(approx (* eps (- x (/ x (* eps eps)))) (*.f64 eps x)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (+ (/ (+ eps 1) eps) (- -1 eps)) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) #s(approx (exp (neg (+ (* x eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

soundness1.3s (10.4%)

Memory
10.9MiB live, 1 127.8MiB allocated
Rules
13 416×lower-fma.f64
13 416×lower-fma.f32
13 204×lower-fma.f64
13 204×lower-fma.f32
10 278×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043811214
1146010416
2499110150
083139642
080888
0115888
1546873
25516873
08360855
039211205
1130510427
244349802
081609265
059212240
1198711256
2682611225
0812110709
02872962
19202564
231142316
083282191
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 636 to 196 computations (69.2% saved)

preprocess66.0ms (0.5%)

Memory
5.0MiB live, 165.8MiB allocated
Remove

(abs eps)

Compiler

Compiled 1 250 to 332 computations (73.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...