NMSE Section 6.1 mentioned, A

Time bar (total: 15.1s)

analyze28.0ms (0.2%)

Memory
14.8MiB live, 54.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.4s (15.5%)

Memory
27.5MiB live, 3 585.7MiB allocated
Samples
820.0ms6 018×0valid
795.0ms2 238×1valid
125.0ms998×0exit
3.0ms18×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 344.0ms (24.3% of total)
ival-exp: 339.0ms (23.9% of total)
ival-div: 200.0ms (14.1% of total)
ival-sub: 199.0ms (14% of total)
ival-add: 125.0ms (8.8% of total)
ival-neg: 105.0ms (7.4% of total)
adjust: 86.0ms (6.1% of total)
exact: 10.0ms (0.7% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess332.0ms (2.2%)

Memory
3.8MiB live, 574.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 102×lower-fma.f64
11 102×lower-fma.f32
2 706×lower-*.f32
2 698×lower-*.f64
1 598×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

(abs eps)

explain340.0ms (2.2%)

Memory
-19.5MiB live, 584.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
754(-4.120203658613358e-107 5.101432447136739e-8)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)))))cancellation790
Confusion
Predicted +Predicted -
+760
-3177
Precision
0.9620253164556962
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7600
-30177
Precision?
0.9620253164556962
Recall?
1.0
Freqs
test
numberfreq
0177
179
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms150×1valid
46.0ms362×0valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-exp: 19.0ms (24.8% of total)
ival-mult: 17.0ms (22.2% of total)
ival-div: 10.0ms (13.1% of total)
ival-sub: 9.0ms (11.8% of total)
ival-neg: 8.0ms (10.5% of total)
ival-add: 7.0ms (9.2% of total)
adjust: 6.0ms (7.8% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.6%
(/.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)

simplify302.0ms (2%)

Memory
23.5MiB live, 455.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
✓cost-diff128
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓cost-diff704
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Rules
11 102×lower-fma.f64
11 102×lower-fma.f32
2 706×lower-*.f32
2 698×lower-*.f64
1 598×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

localize239.0ms (1.6%)

Memory
-23.4MiB live, 134.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓accuracy71.6%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Samples
147.0ms75×1valid
26.0ms181×0valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 10.0ms (26.3% of total)
ival-mult: 7.0ms (18.4% of total)
ival-add: 6.0ms (15.8% of total)
ival-div: 5.0ms (13.2% of total)
ival-sub: 4.0ms (10.5% of total)
adjust: 3.0ms (7.9% of total)
ival-neg: 3.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
30.9MiB live, 30.9MiB allocated
Counts
6 → 144
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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))>
Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<alt (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt 2>
#<alt (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
Calls

36 calls:

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

rewrite554.0ms (3.7%)

Memory
-6.4MiB live, 518.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 830×lower-fma.f64
4 830×lower-fma.f32
3 930×lower-/.f32
3 926×lower-/.f64
3 926×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01993
03493
113187
293286
0893178
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 500
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 (/.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))))
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)))
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(/.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)))
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(/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps))))
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(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (/.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 3 binary64))) (pow.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps)) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps)))))
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(/.f64 (-.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(*.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 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(*.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps))))
(*.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))

simplify845.0ms (5.6%)

Memory
4.3MiB live, 854.7MiB allocated
Algorithm
1×egg-herbie
Rules
16 366×lower-fma.f64
16 366×lower-fma.f32
4 512×lower-+.f64
4 512×lower-+.f32
4 372×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02993116
19752807
234092490
083702351
Stop Event
1×iter limit
1×node limit
Counts
144 → 143
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))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
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))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 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)))
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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))))))))))
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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))))))))))))
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(* 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)))))
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(+ (* 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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(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
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(+ (* -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)))))))
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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))))))))
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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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(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)) eps (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))) (exp.f64 (neg.f64 x))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/.f64 (*.f64 (fma.f64 eps (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (fma.f64 eps (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (fma.f64 eps (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))))) eps)
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))

eval212.0ms (1.4%)

Memory
8.4MiB live, 226.8MiB allocated
Compiler

Compiled 32 634 to 2 465 computations (92.4% saved)

prune213.0ms (1.4%)

Memory
-10.6MiB live, 191.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6358643
Fresh000
Picked101
Done000
Total6368644
Accuracy
100.0%
Counts
644 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.6%
(fma.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
▶36.8%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶50.2%
(/.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 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
33.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
30.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
▶99.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
56.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶43.2%
#s(literal 1 binary64)
Compiler

Compiled 412 to 236 computations (42.7% saved)

simplify492.0ms (3.2%)

Memory
19.6MiB live, 840.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))))
✓cost-diff192
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))
✓cost-diff384
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))
✓cost-diff512
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓cost-diff0
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #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
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓cost-diff256
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓cost-diff320
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
✓cost-diff448
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓cost-diff1088
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓cost-diff0
(-.f64 (*.f64 x eps) x)
✓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)))))
Rules
23 266×lower-fma.f32
23 252×lower-fma.f64
3 944×lower-*.f32
3 918×lower-*.f64
3 438×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050672
0100667
1250659
2898611
34903582
08480559
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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(literal 1 binary64)
(fma.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
#s(literal 1/2 binary64)
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal -1 binary64) eps)
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 x eps x)
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.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)
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 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
#s(literal -1 binary64)
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))
#s(literal 1/2 binary64)
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 x eps x)
(+.f64 eps #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) eps)
#s(literal 2 binary64)
Outputs
(*.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 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.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))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.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(literal 1 binary64)
(fma.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) eps) eps)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 x eps x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) eps) eps)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 x eps x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal 1 binary64)))))
#s(literal 1/2 binary64)
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) eps) eps)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 x eps x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal 1 binary64))))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 x eps x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal -1 binary64) eps)
(+.f64 eps #s(literal -1 binary64))
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 x eps x) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps)))
(*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 eps)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 x eps x)
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(-.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 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(neg.f64 (fma.f64 x eps x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
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 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64))) #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)) (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 x 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)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
x
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) eps) eps))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 eps)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps x) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 x eps x)
(+.f64 eps #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) eps)
#s(literal 2 binary64)

localize361.0ms (2.4%)

Memory
-26.2MiB live, 558.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))
✓accuracy99.9%
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
✓accuracy97.8%
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))
✓accuracy71.6%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓accuracy71.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓accuracy97.8%
(fma.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
✓accuracy95.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓accuracy87.7%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓accuracy54.3%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓accuracy100.0%
(neg.f64 (fma.f64 x eps x))
✓accuracy100.0%
(exp.f64 (-.f64 (*.f64 x eps) x))
✓accuracy100.0%
(exp.f64 (neg.f64 (fma.f64 x eps x)))
✓accuracy100.0%
(-.f64 (*.f64 x eps) x)
Samples
108.0ms105×1valid
75.0ms30×2valid
51.0ms121×0valid
Compiler

Compiled 718 to 58 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-mult: 78.0ms (40.9% of total)
ival-exp: 35.0ms (18.4% of total)
ival-add: 32.0ms (16.8% of total)
adjust: 19.0ms (10% of total)
ival-sub: 10.0ms (5.2% of total)
ival-div: 8.0ms (4.2% of total)
ival-neg: 6.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series59.0ms (0.4%)

Memory
-0.6MiB live, 116.3MiB allocated
Counts
24 → 540
Calls
Call 1
Inputs
#<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 (-.f64 (*.f64 x eps) x)>
#<alt (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))>
#<alt (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))>
#<alt (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))>
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))>
#<alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (exp.f64 (neg.f64 (fma.f64 x eps x)))>
#<alt (neg.f64 (fma.f64 x eps x))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))>
#<alt (fma.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))>
#<alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (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))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ x (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ x (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ x (* -1/2 x)) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (* -1 (- x 1)) 1) eps)) (* -1/2 x))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
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#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (/ 1 eps)>
#<alt (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps))>
#<alt (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps))>
#<alt (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps))>
#<alt (* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))))>
#<alt (* -1/2 (* (pow x 2) (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 (* eps x))) x)) (* -1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 (* eps x))) x)) (* -1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))>
#<alt (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)>
#<alt (/ (+ 1 (+ (* eps (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1))) (* x (- (* 1/2 x) 1)))) eps)>
#<alt (/ (+ 1 (+ (* eps (+ (* eps (* x (+ (* -1 (- x 1)) (* 1/2 x)))) (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)))) (* x (- (* 1/2 x) 1)))) eps)>
#<alt (/ (+ 1 (+ (* eps (+ (* eps (+ (* -1/2 (* eps (pow x 2))) (* x (+ (* -1 (- x 1)) (* 1/2 x))))) (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)))) (* x (- (* 1/2 x) 1)))) eps)>
#<alt (* -1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (+ (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps) (/ (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps) (+ (/ (* x (- (* 1/2 x) 1)) (pow eps 3)) (/ (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)) (pow eps 2)))))))>
#<alt (* -1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x))) eps)) (* -1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (+ 1 (* -1 x))) (* -1 (- (* 1/2 x) 1)))) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) eps)) (* -1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (* x (- (* 1/2 x) 1))) 1) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1 (- (* 1/2 x) 1))))) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) eps)) (* -1/2 (pow x 2))))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt x>
#<alt (+ x (* 2 (* eps x)))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
Calls

135 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(+ (* 1/2 (* (+ (* x eps) x) (+ eps 1))) (- -1 eps))
4.0ms
eps
@-inf
(- (* x eps) x)
3.0ms
eps
@inf
(- (* x eps) x)
2.0ms
x
@inf
(* (+ -1 (/ 1 eps)) (+ (* 1/2 (* (+ (* x eps) x) (+ eps 1))) (- -1 eps)))
2.0ms
x
@0
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))

rewrite404.0ms (2.7%)

Memory
-10.4MiB live, 783.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 890×lower-*.f32
4 864×lower-*.f64
4 822×lower-fma.f32
4 808×lower-fma.f64
2 224×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049420
098412
1453400
24930400
08165394
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 854
Calls
Call 1
Inputs
(*.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))
(-.f64 (*.f64 x eps) x)
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))
(-.f64 (*.f64 (+.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) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
(fma.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 (-.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))
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x 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 (-.f64 (*.f64 x eps) x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x 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 (-.f64 (*.f64 x eps) x))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x 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 (-.f64 (*.f64 x eps) x))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x 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))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x 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 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (-.f64 (*.f64 x eps) x)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x 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 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (-.f64 (*.f64 x eps) x)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) 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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) 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 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x 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 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1 binary64)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x 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 #s(literal 1 binary64) (*.f64 x eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x 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 (*.f64 x eps) #s(literal 1 binary64))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x eps))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
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(+.f64 (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))) (fma.f64 x eps x))
(fma.f64 x (+.f64 eps #s(literal 1 binary64)) (*.f64 eps (fma.f64 x eps x)))
(fma.f64 x (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps)))
(fma.f64 x (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))))
(fma.f64 eps (fma.f64 x eps x) (fma.f64 x eps x))
(fma.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
(fma.f64 (fma.f64 x eps x) eps (fma.f64 x eps x))
(fma.f64 (fma.f64 x eps x) #s(literal 1 binary64) (*.f64 eps (fma.f64 x eps x)))
(fma.f64 (fma.f64 x eps x) #s(literal 1 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps)))
(fma.f64 (fma.f64 x eps x) #s(literal 1 binary64) (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x eps x) (*.f64 eps (fma.f64 x eps x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x eps x) (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) x (*.f64 eps (fma.f64 x eps x)))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) x (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps)))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) x (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps) (fma.f64 x eps x))
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(fma.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps)))
(fma.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps))))) (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) x)) (*.f64 eps (fma.f64 x eps x)))
(fma.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps)))
(fma.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) x)) (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (fma.f64 x eps x) (*.f64 eps (fma.f64 x eps x)))
(fma.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps)))
(fma.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (fma.f64 x eps x) (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 eps (fma.f64 x eps x)))
(fma.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x eps)))
(fma.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 x eps) x) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 x eps) x) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 (*.f64 x eps) x) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps))))))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps))))))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (*.f64 (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x eps) x)))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 x eps) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 (*.f64 x eps) x)))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps))))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 (*.f64 x eps) x)))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 x eps x)) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 x eps x))) (fma.f64 (*.f64 eps (fma.f64 x eps x)) (*.f64 eps (fma.f64 x eps x)) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (*.f64 eps (fma.f64 x eps x)) (fma.f64 x eps x)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (fma.f64 x eps x)) (*.f64 eps (fma.f64 x eps x))) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (-.f64 (*.f64 eps (fma.f64 x eps x)) (fma.f64 x eps x)))
(/.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (fma.f64 x eps x) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))))
(/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (-.f64 (*.f64 x eps) x))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 eps #s(literal 1 binary64))) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (+.f64 eps #s(literal 1 binary64))) (-.f64 (*.f64 x eps) x))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 x eps x)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 x eps x)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 x eps x)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 x eps x)) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))

simplify748.0ms (4.9%)

Memory
-71.7MiB live, 1 108.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 864×lower-fma.f64
10 864×lower-fma.f32
7 204×lower-+.f64
7 204×lower-+.f32
5 046×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110610367
137359466
091718938
Stop Event
1×iter limit
1×node limit
Counts
540 → 538
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (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))
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2
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x
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1
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2
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1
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1
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(* 1/2 (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x)))))
(* (pow eps 2) (+ (* 1/2 (* x (- (* 1/2 x) (* -1/2 x)))) (* 1/2 (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps))))
(* (pow eps 2) (+ (* 1/2 (* x (- (* 1/2 x) (* -1/2 x)))) (+ (* 1/2 (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps)) (+ (* 1/2 (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))) (pow eps 2))) (/ 1 (pow eps 2))))))
(* (pow eps 2) (+ (* 1/2 (* x (- (* 1/2 x) (* -1/2 x)))) (+ (* 1/2 (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps)) (+ (* 1/2 (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))) (pow eps 2))) (/ 1 (pow eps 2))))))
(* 1/2 (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x)))))
(* (pow eps 2) (+ (* -1/2 (/ (* x (- (+ x (* -1/2 x)) (* 1/2 x))) eps)) (* 1/2 (* x (- (* 1/2 x) (* -1/2 x))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (* x (- (* -1 (- x 1)) 1)))) eps)) (* 1/2 (* x (- (+ x (* -1/2 x)) (* 1/2 x))))) eps)) (* 1/2 (* x (- (* 1/2 x) (* -1/2 x))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (* x (- (* -1 (- (* 1/2 x) 1)) (+ 1 (* -1/2 x)))) eps)) (* 1/2 (* x (- (* -1 (- x 1)) 1))))) eps)) (* 1/2 (* x (- (+ x (* -1/2 x)) (* 1/2 x))))) eps)) (* 1/2 (* x (- (* 1/2 x) (* -1/2 x))))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(/ 1 eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(/ 1 eps)
(+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps))
(+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps))
(+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps))
(* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))))
(* -1/2 (* (pow x 2) (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))
(* (pow x 2) (+ (* -1 (/ (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 (* eps x))) x)) (* -1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))
(* (pow x 2) (+ (* -1 (/ (- (* (+ 1 eps) (- (/ 1 eps) 1)) (/ 1 (* eps x))) x)) (* -1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))
(/ (+ 1 (* x (- (* 1/2 x) 1))) eps)
(/ (+ 1 (+ (* eps (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1))) (* x (- (* 1/2 x) 1)))) eps)
(/ (+ 1 (+ (* eps (+ (* eps (* x (+ (* -1 (- x 1)) (* 1/2 x)))) (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)))) (* x (- (* 1/2 x) 1)))) eps)
(/ (+ 1 (+ (* eps (+ (* eps (+ (* -1/2 (* eps (pow x 2))) (* x (+ (* -1 (- x 1)) (* 1/2 x))))) (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)))) (* x (- (* 1/2 x) 1)))) eps)
(* -1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps)))
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (+ (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps) (/ (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps) (+ (/ (* x (- (* 1/2 x) 1)) (pow eps 3)) (/ (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)) (pow eps 2)))))))
(* -1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x))) eps)) (* -1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (+ 1 (* -1 x))) (* -1 (- (* 1/2 x) 1)))) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) eps)) (* -1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (* x (- (* 1/2 x) 1))) 1) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1 (- (* 1/2 x) 1))))) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) eps)) (* -1/2 (pow x 2))))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
x
(+ x (* 2 (* eps x)))
(+ x (* eps (+ (* 2 x) (* eps x))))
(+ x (* eps (+ (* 2 x) (* eps x))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal 0 binary64)) (exp.f64 (neg.f64 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))))))))
(fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 0 binary64)) (exp.f64 (neg.f64 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)))))))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 x x) (*.f64 eps #s(literal 0 binary64)))) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(fma.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(* 2 (exp (neg x)))
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))
(fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps #s(literal 0 binary64)))
(+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))))))
(fma.f64 eps (fma.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (neg.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+ (* 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)))))))
(fma.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 x x) (*.f64 eps #s(literal 0 binary64))))) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
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(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 x))))) eps)
(/ (+ 1 (+ (* eps (+ (* eps (* x (+ (* -1 (- x 1)) (* 1/2 x)))) (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)))) (* x (- (* 1/2 x) 1)))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 eps (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))))))) eps)
(/ (+ 1 (+ (* eps (+ (* eps (+ (* -1/2 (* eps (pow x 2))) (* x (+ (* -1 (- x 1)) (* 1/2 x))))) (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)))) (* x (- (* 1/2 x) 1)))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) eps)
(* -1/2 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps)))
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)))
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (+ (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps) (/ (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)) (pow eps 2)))))
(*.f64 (*.f64 eps eps) (fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ (* -1 (- x 1)) (* 1/2 x))) eps) (+ (/ (* x (- (* 1/2 x) 1)) (pow eps 3)) (/ (* x (- (+ x (* -1 (- (* 1/2 x) 1))) 1)) (pow eps 2)))))))
(*.f64 (*.f64 eps eps) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) eps) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 x)) (*.f64 eps eps)))))
(* -1/2 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(* (pow eps 2) (+ (* -1 (/ (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x))) eps)) (* -1/2 (pow x 2))))
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (+ 1 (* -1 x))) (* -1 (- (* 1/2 x) 1)))) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) eps)) (* -1/2 (pow x 2))))
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (/.f64 (*.f64 x (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) eps)) (neg.f64 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (* x (- (* 1/2 x) 1))) 1) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1 (- (* 1/2 x) 1))))) eps)) (* x (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) eps)) (* -1/2 (pow x 2))))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 (fma.f64 x (neg.f64 (+.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) eps)) eps)))
(* x (pow (+ 1 eps) 2))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* x (pow (+ 1 eps) 2))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* x (pow (+ 1 eps) 2))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* x (pow (+ 1 eps) 2))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* x (pow (+ 1 eps) 2))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* x (pow (+ 1 eps) 2))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* x (pow (+ 1 eps) 2))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* x (pow (+ 1 eps) 2))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
x
(+ x (* 2 (* eps x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 eps (*.f64 x (+.f64 #s(literal 2 binary64) eps)) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 eps (*.f64 x (+.f64 #s(literal 2 binary64) eps)) x)
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) x))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 x (*.f64 eps eps)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 x (*.f64 eps eps)))))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) x))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(*.f64 (*.f64 eps eps) (-.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 x (neg.f64 eps))) eps)))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(*.f64 (*.f64 eps eps) (-.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 x (neg.f64 eps))) eps)))

eval384.0ms (2.5%)

Memory
-14.7MiB live, 739.4MiB allocated
Compiler

Compiled 75 968 to 6 326 computations (91.7% saved)

prune353.0ms (2.3%)

Memory
4.6MiB live, 480.4MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 610131 623
Fresh303
Picked415
Done000
Total1 617141 631
Accuracy
100.0%
Counts
1 631 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
▶59.2%
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
76.1%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
76.8%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
▶42.1%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
27.3%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
▶39.2%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
56.9%
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))))
65.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
39.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
61.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)))
▶85.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
▶73.2%
(exp.f64 (neg.f64 x))
✓43.2%
#s(literal 1 binary64)
Compiler

Compiled 429 to 277 computations (35.4% saved)

simplify605.0ms (4%)

Memory
30.1MiB live, 627.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(+.f64 eps #s(literal 1 binary64))
✓cost-diff0
(*.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 x (*.f64 eps eps))))
✓cost-diff0
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
✓cost-diff640
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
✓cost-diff704
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
Rules
14 618×lower-fma.f32
14 610×lower-fma.f64
3 058×lower--.f64
3 058×lower--.f32
2 738×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029179
055179
1117177
2319175
3843166
42359166
53513166
67356166
08494160
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (*.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)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
x
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
#s(literal 1/2 binary64)
(neg.f64 x)
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
#s(literal 1/2 binary64)
(*.f64 eps eps)
eps
(*.f64 x x)
x
#s(literal 2 binary64)
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 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 x (*.f64 eps eps))))
#s(literal 1/2 binary64)
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp.f64 (*.f64 x eps))
(*.f64 x eps)
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 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(*.f64 x #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 x)
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
#s(literal 1/2 binary64)
(*.f64 eps eps)
eps
(*.f64 x x)
x
#s(literal 2 binary64)
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 eps (fma.f64 x eps #s(literal -1 binary64))) (/.f64 x eps)) #s(literal 1 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 x (*.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) eps))
#s(literal 1/2 binary64)
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))
(fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
(exp.f64 (neg.f64 x))
(neg.f64 x)
x

localize100.0ms (0.7%)

Memory
-42.4MiB live, 243.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓accuracy100.0%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))
✓accuracy97.7%
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
✓accuracy92.6%
(*.f64 x (*.f64 eps eps))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
✓accuracy100.0%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
✓accuracy84.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
✓accuracy100.0%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(neg.f64 (fma.f64 x eps x))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
✓accuracy100.0%
(exp.f64 (neg.f64 (fma.f64 x eps x)))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
Samples
57.0ms256×0valid
Compiler

Compiled 191 to 34 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 16.0ms (43.1% of total)
ival-add: 8.0ms (21.6% of total)
ival-exp: 7.0ms (18.9% of total)
ival-div: 3.0ms (8.1% of total)
ival-neg: 2.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
9.7MiB live, 47.6MiB allocated
Counts
20 → 384
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))>
#<alt (exp.f64 (*.f64 x eps))>
#<alt (*.f64 x eps)>
#<alt (*.f64 #s(literal 1/2 binary64) (neg.f64 x))>
#<alt (fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))>
#<alt (neg.f64 x)>
#<alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))>
#<alt (*.f64 eps eps)>
#<alt (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))>
#<alt (fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))>
#<alt (*.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 x (*.f64 eps eps))))>
#<alt (+.f64 eps #s(literal 1 binary64))>
#<alt (exp.f64 (neg.f64 x))>
#<alt (exp.f64 (neg.f64 (fma.f64 x eps x)))>
#<alt (neg.f64 (fma.f64 x eps x))>
#<alt (*.f64 x (*.f64 eps eps))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ 1 (exp (neg x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (neg x))))))) (* 1/2 (+ 1 (exp (neg x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (neg x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (neg x)))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (neg x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (neg x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (pow x 2)))))))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x))))>
#<alt (+ 1 (exp (neg x)))>
#<alt (+ 1 (+ (exp (neg x)) (* eps (+ x (* -1 (* x (exp (neg x))))))))>
#<alt (+ 1 (+ (exp (neg x)) (* eps (+ x (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (exp (neg x)) (* eps (+ x (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (pow x 3))))))))))))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (/ (+ 1 (* (pow eps 2) (- (* eps x) 1))) eps)>
#<alt (/ (+ 1 (* (pow eps 2) (- (* eps x) 1))) eps)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (- x (/ 1 eps)))>
#<alt (* (pow eps 2) (- (+ x (/ 1 (pow eps 3))) (/ 1 eps)))>
#<alt (* (pow eps 2) (- (+ x (/ 1 (pow eps 3))) (/ 1 eps)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (- x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))))>
#<alt (* (+ 1 eps) (- (/ 1 eps) 1))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)) x)) (* 1/2 (pow eps 2))))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ eps (* 1/2 x)) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 (* eps (pow x 2)))))))) eps)>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 (pow x 2))))>
#<alt (/ 1/2 eps)>
#<alt (/ (+ 1/2 (* -1/2 (pow eps 2))) eps)>
#<alt (/ (+ 1/2 (* (pow eps 2) (- (* 1/2 (* eps x)) 1/2))) eps)>
#<alt (/ (+ 1/2 (* (pow eps 2) (- (* 1/2 (* eps x)) 1/2))) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (/ 1/2 (pow eps 3))) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (/ 1/2 (pow eps 3))) (* 1/2 (/ 1 eps))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 (pow eps 2)))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 (pow eps 2)))) eps)) (* 1/2 x)))>
#<alt (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1)))>
#<alt (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* x (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))>
#<alt (* x (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))>
#<alt (* x (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* -1 (* x (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1/2 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1/2 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1/2 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 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 (+ 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))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
Calls

96 calls:

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

rewrite334.0ms (2.2%)

Memory
-1.6MiB live, 800.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 664×lower-fma.f32
5 656×lower-fma.f64
4 216×lower-/.f32
4 212×lower-/.f64
4 128×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029148
055148
1213142
21644142
08301142
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 570
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (*.f64 x eps))
(*.f64 x eps)
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(neg.f64 x)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))
(*.f64 eps eps)
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(*.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 x (*.f64 eps eps))))
(+.f64 eps #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (*.f64 eps eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))))) (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 (fma.f64 x eps x)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 (fma.f64 x eps x)))))) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 (fma.f64 x eps x)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 (fma.f64 x eps x)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 (fma.f64 x eps x))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 (fma.f64 x eps x))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 (fma.f64 x eps x))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x eps (neg.f64 (fma.f64 x eps x))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))))
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simplify522.0ms (3.4%)

Memory
22.6MiB live, 937.5MiB allocated
Algorithm
1×egg-herbie
Rules
18 314×lower-fma.f64
18 314×lower-fma.f32
6 206×lower-*.f64
6 206×lower-*.f32
6 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03223309
110733253
233233179
087583044
Stop Event
1×iter limit
1×node limit
Counts
384 → 382
Calls
Call 1
Inputs
1
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(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(/ 1 eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(/ (+ 1 (* (pow eps 2) (- (* eps x) 1))) eps)
(/ (+ 1 (* (pow eps 2) (- (* eps x) 1))) eps)
(* (pow eps 2) x)
(* (pow eps 2) (- x (/ 1 eps)))
(* (pow eps 2) (- (+ x (/ 1 (pow eps 3))) (/ 1 eps)))
(* (pow eps 2) (- (+ x (/ 1 (pow eps 3))) (/ 1 eps)))
(* (pow eps 2) x)
(* (pow eps 2) (- x (/ 1 eps)))
(* (pow eps 2) (+ x (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))))
(* (+ 1 eps) (- (/ 1 eps) 1))
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x))
(* (pow eps 2) x)
(* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(* x (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(* (pow eps 2) x)
(* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1 (pow eps 2)))))
1
(+ 1 (* 1/2 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))))
(+ 1 (* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)) x)) (* 1/2 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 x)) x)) (* 1/2 (pow eps 2))))
(* 1/2 (/ x eps))
(/ (+ eps (* 1/2 x)) eps)
(/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)
(/ (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 (* eps (pow x 2)))))))) eps)
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 (pow x 2))))
(/ 1/2 eps)
(/ (+ 1/2 (* -1/2 (pow eps 2))) eps)
(/ (+ 1/2 (* (pow eps 2) (- (* 1/2 (* eps x)) 1/2))) eps)
(/ (+ 1/2 (* (pow eps 2) (- (* 1/2 (* eps x)) 1/2))) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* 1/2 x) (/ 1/2 (pow eps 3))) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* 1/2 x) (/ 1/2 (pow eps 3))) (* 1/2 (/ 1 eps))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 (pow eps 2)))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 (pow eps 2)))) eps)) (* 1/2 x)))
(* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1)))
(+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))
(+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))
(+ (* 1/2 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* (pow eps 2) x)))
(* 1/2 (* (pow eps 2) x))
(* x (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))
(* x (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))
(* x (+ (* 1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (pow eps 2))))
(* 1/2 (* (pow eps 2) x))
(* -1 (* x (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1/2 (pow eps 2)))))
(* -1 (* x (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1/2 (pow eps 2)))))
(* -1 (* x (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* -1/2 (pow eps 2)))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
1
(+ 1 (* -1 (* x (+ 1 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 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))))
(* (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 eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (- (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (neg x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (neg x))))))) (* 1/2 (+ 1 (exp (neg x)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 x eps)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (exp (neg x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (neg x)))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) eps (fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(+ (* 1/2 (+ 1 (exp (neg x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (neg x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (pow x 2)))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(fma.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(fma.f64 x (+.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (- (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (- (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (- (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (- (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (neg x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+ 1 (+ (exp (neg x)) (* eps (+ x (* -1 (* x (exp (neg x))))))))
(fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+ 1 (+ (exp (neg x)) (* eps (+ x (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (pow x 2)))))))))
(+.f64 (fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))
(+ 1 (+ (exp (neg x)) (* eps (+ x (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (pow x 3))))))))))))
(+.f64 (fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 eps (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))
(+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (neg (+ x (* eps x)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
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(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))

eval301.0ms (2%)

Memory
-11.0MiB live, 264.9MiB allocated
Compiler

Compiled 24 703 to 2 382 computations (90.4% saved)

prune284.0ms (1.9%)

Memory
5.1MiB live, 206.1MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New982191 001
Fresh448
Picked415
Done011
Total990251 015
Accuracy
100.0%
Counts
1 015 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.1%
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
51.7%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
59.2%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
60.6%
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
▶75.4%
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
28.3%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
76.1%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
43.9%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
▶76.1%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
76.8%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
62.0%
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
27.3%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
45.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
▶42.6%
(-.f64 #s(literal 1 binary64) x)
65.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶39.2%
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
39.2%
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
45.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
33.8%
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
62.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
62.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
▶85.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
61.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
✓73.2%
(exp.f64 (neg.f64 x))
✓43.2%
#s(literal 1 binary64)
Compiler

Compiled 788 to 489 computations (37.9% saved)

simplify591.0ms (3.9%)

Memory
20.4MiB live, 657.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))
✓cost-diff320
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))))
✓cost-diff512
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff704
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))
✓cost-diff0
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))))
✓cost-diff0
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
✓cost-diff704
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
Rules
24 550×lower-fma.f32
24 540×lower-fma.f64
4 224×lower-*.f32
4 198×lower-*.f64
2 134×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032237
060224
1129214
2326192
3873175
42191175
53818175
08162168
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (*.f64 x eps))
(*.f64 x eps)
x
eps
(exp.f64 (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(neg.f64 eps)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 eps eps)
eps
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 x x)
x
#s(literal 1/4 binary64)
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
x
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))))
eps
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
x
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))))
#s(literal 1/2 binary64)
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))))
#s(literal -1/2 binary64)
(*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))
eps
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))
(*.f64 x eps)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (*.f64 x eps))
(*.f64 x eps)
x
eps
(exp.f64 (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(neg.f64 eps)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x eps))))
(*.f64 eps eps)
eps
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 x x)
x
#s(literal 1/4 binary64)
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))))
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
eps
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 1 binary64))
x
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 eps eps #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (*.f64 eps eps))
eps
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x eps)
(fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))
(*.f64 x (+.f64 eps #s(literal -1/2 binary64)))
(*.f64 x eps)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal 1 binary64)

localize158.0ms (1%)

Memory
-36.8MiB live, 223.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))
✓accuracy99.8%
(*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))
✓accuracy97.8%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
✓accuracy74.8%
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
✓accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))
✓accuracy99.9%
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))))
✓accuracy99.8%
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))
✓accuracy97.8%
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy84.3%
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
✓accuracy100.0%
(neg.f64 eps)
✓accuracy100.0%
(exp.f64 (*.f64 x (neg.f64 eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
Samples
46.0ms151×0valid
40.0ms93×1valid
7.0ms12×2valid
Compiler

Compiled 256 to 36 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 32.0ms (47.8% of total)
ival-add: 12.0ms (17.9% of total)
adjust: 7.0ms (10.5% of total)
ival-sub: 6.0ms (9% of total)
ival-exp: 5.0ms (7.5% of total)
ival-div: 3.0ms (4.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
21.7MiB live, 58.1MiB allocated
Counts
21 → 444
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))>
#<alt (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))>
#<alt (exp.f64 (*.f64 x eps))>
#<alt (*.f64 x eps)>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))>
#<alt (*.f64 eps eps)>
#<alt (*.f64 (*.f64 x x) #s(literal 1/4 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))>
#<alt (fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))>
#<alt (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))))>
#<alt (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))>
#<alt (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))>
#<alt (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))>
#<alt (exp.f64 (*.f64 x (neg.f64 eps)))>
#<alt (neg.f64 eps)>
#<alt (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))>
#<alt (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 eps)))))>
#<alt (+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (+ eps (* -1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 eps))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow eps 3))))) (* 1/2 (pow eps 2)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
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#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (* 1/2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* eps (* x (+ (* -1/2 x) (* 1/2 x)))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* -1/2 (* x (+ (* -1/2 x) (* 1/2 x))))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* -1/2 (* x (+ (* -1/2 x) (* 1/2 x))))) eps)) (* 1/2 (pow x 2))))>
#<alt (* eps (+ (* -1/2 x) (* 1/2 x)))>
#<alt (* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x))))>
#<alt (* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x))))>
#<alt (* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x 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)>
Calls

111 calls:

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

rewrite607.0ms (4%)

Memory
-3.1MiB live, 791.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 696×lower-fma.f32
7 686×lower-fma.f64
4 446×lower-*.f32
4 420×lower-*.f64
3 570×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032182
060176
1236156
21987153
08793148
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 531
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (*.f64 x eps))
(*.f64 x eps)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 eps eps)
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 x x)
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps))
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))
(exp.f64 (*.f64 x (neg.f64 eps)))
(neg.f64 eps)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (fma.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 x eps))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 x eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (neg.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps eps)))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 eps #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))))))
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simplify524.0ms (3.5%)

Memory
0.0MiB live, 674.6MiB allocated
Algorithm
1×egg-herbie
Rules
18 424×lower-fma.f64
18 424×lower-fma.f32
3 532×lower-*.f64
3 532×lower-*.f32
3 530×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03103059
110662958
235132874
373102874
087202696
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
1
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(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) eps)))))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 x)
(+ (* -1 x) (* eps (+ (* -1/2 x) (* 1/2 x))))
(+ (* -1 x) (* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x)))))
(+ (* -1 x) (* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps))))))
(* (pow eps 2) (+ x (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -1 (+ (* -1/2 x) (* 1/2 x))) (/ x eps)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -1 (+ (* -1/2 x) (* 1/2 x))) (/ x eps)) eps))))
(* x (- (pow eps 2) 1/2))
(* x (- (pow eps 2) 1/2))
(* x (- (pow eps 2) 1/2))
(* x (- (pow eps 2) 1/2))
(* x (- (pow eps 2) 1/2))
(* x (- (pow eps 2) 1/2))
(* x (- (pow eps 2) 1/2))
(* x (- (pow eps 2) 1/2))
(* -1 (* x (+ 1/2 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1/2 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1/2 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1/2 (* -1 (pow eps 2)))))
(* -1/2 x)
(+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 x))))
(+ (* -1/2 x) (* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x)))))
(+ (* -1/2 x) (* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 (/ x eps))))))
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 (/ x eps))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -1 (+ (* -1/2 x) (* 1/2 x))) (* 1/2 (/ x eps))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -1 (+ (* -1/2 x) (* 1/2 x))) (* 1/2 (/ x eps))) eps))))
(* x (- eps 1/2))
(* x (- eps 1/2))
(* x (- eps 1/2))
(* x (- eps 1/2))
(* x (- eps 1/2))
(* x (- eps 1/2))
(* x (- eps 1/2))
(* x (- eps 1/2))
(* -1 (* x (+ 1/2 (* -1 eps))))
(* -1 (* x (+ 1/2 (* -1 eps))))
(* -1 (* x (+ 1/2 (* -1 eps))))
(* -1 (* x (+ 1/2 (* -1 eps))))
(* -1/2 x)
(+ (* -1/2 x) (* eps x))
(+ (* -1/2 x) (* eps x))
(+ (* -1/2 x) (* eps x))
(* eps x)
(* eps (+ x (* -1/2 (/ x eps))))
(* eps (+ x (* -1/2 (/ x eps))))
(* eps (+ x (* -1/2 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* 1/2 (/ x eps)))))
1
(+ 1 (* -1 (* eps x)))
(+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ (* -1 eps) (* x (+ (* -1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
1
(+ 1 (* -1 (* eps x)))
(+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
1
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(* 1/2 (* (pow x 2) (- (pow eps 2) 1)))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* eps (* x (+ (* -1/2 x) (* 1/2 x)))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* -1/2 (* x (+ (* -1/2 x) (* 1/2 x))))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* -1/2 (* x (+ (* -1/2 x) (* 1/2 x))))) eps)) (* 1/2 (pow x 2))))
(* eps (+ (* -1/2 x) (* 1/2 x)))
(* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x))))
(* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x))))
(* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x 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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 eps)))))
#s(literal 1 binary64)
(+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (+ eps (* -1 eps))))))
(fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 eps))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow eps 3))))) (* 1/2 (pow eps 2)))))))
(fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) x) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* eps (+ x (* -1 x)))))
#s(literal 1 binary64)
(+ 1 (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (+ x (* -1 x))))))
(fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) x) #s(literal 1 binary64))
(+ 1 (* eps (+ (* 1/2 (+ x (* -1 x))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (pow x 3)) (* 1/6 (pow x 3))))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) x) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ eps (* -1 eps))))
#s(literal 2 binary64)
(+ 2 (* x (+ eps (+ (* -1 eps) (* (pow eps 2) x)))))
(fma.f64 eps (*.f64 x (*.f64 x eps)) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 eps) (* x (+ (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow eps 3)))) (pow eps 2)))))))
(fma.f64 eps (*.f64 x (*.f64 x eps)) #s(literal 2 binary64))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
2
#s(literal 2 binary64)
(+ 2 (* eps (+ x (* -1 x))))
#s(literal 2 binary64)
(+ 2 (* eps (+ x (+ (* -1 x) (* eps (pow x 2))))))
(fma.f64 eps (*.f64 x (*.f64 x eps)) #s(literal 2 binary64))
(+ 2 (* eps (+ x (+ (* -1 x) (* eps (+ (* eps (+ (* -1/6 (pow x 3)) (* 1/6 (pow x 3)))) (pow x 2)))))))
(fma.f64 eps (*.f64 x (*.f64 x eps)) #s(literal 2 binary64))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps)))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 x eps #s(literal 1 binary64))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps)) x) #s(literal 1 binary64))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x))) eps) #s(literal 1 binary64))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 x eps #s(literal 1 binary64))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps)) x) #s(literal 1 binary64))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(* 1/4 (* (pow eps 2) (pow x 2)))
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(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
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(* (pow eps 2) (+ x (* -1 (/ (+ (* -1 (+ (* -1/2 x) (* 1/2 x))) (* 1/2 (/ x eps))) eps))))
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(* (pow eps 2) (+ x (* -1 (/ (+ (* -1 (+ (* -1/2 x) (* 1/2 x))) (* 1/2 (/ x eps))) eps))))
(*.f64 x (fma.f64 eps eps #s(literal -1/2 binary64)))
(* x (- eps 1/2))
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(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(+ (* -1/2 x) (* eps x))
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(+ (* -1/2 x) (* eps x))
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(+ (* -1/2 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1/2 binary64)))
(* eps x)
(*.f64 x eps)
(* eps (+ x (* -1/2 (/ x eps))))
(*.f64 x (+.f64 eps #s(literal -1/2 binary64)))
(* eps (+ x (* -1/2 (/ x eps))))
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(* eps (+ x (* -1/2 (/ x eps))))
(*.f64 x (+.f64 eps #s(literal -1/2 binary64)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (* 1/2 (/ x eps)))))
(*.f64 x (+.f64 eps #s(literal -1/2 binary64)))
(* -1 (* eps (+ (* -1 x) (* 1/2 (/ x eps)))))
(*.f64 x (+.f64 eps #s(literal -1/2 binary64)))
(* -1 (* eps (+ (* -1 x) (* 1/2 (/ x eps)))))
(*.f64 x (+.f64 eps #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(-.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 eps) (* x (+ (* -1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (neg.f64 eps)) #s(literal 1 binary64))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(-.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
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(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
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(* -1 eps)
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(neg.f64 eps)
1
#s(literal 1 binary64)
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(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow x 2) (- (pow eps 2) 1)))
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(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
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(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
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(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
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(+ 1 (* -1/2 (pow x 2)))
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(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (* 1/2 (pow x 2))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 eps eps))))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 eps eps))))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
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(* eps (+ (* -1/2 x) (* 1/2 x)))
#s(literal 0 binary64)
(* eps (+ (* -1/2 x) (+ (* 1/2 x) (* eps x))))
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(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (+ (* -1/2 (/ x eps)) (* 1/2 (/ x eps)))))
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(* (pow eps 2) x)
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(* (pow eps 2) x)
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(* (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))

eval135.0ms (0.9%)

Memory
21.4MiB live, 291.3MiB allocated
Compiler

Compiled 25 619 to 2 568 computations (90% saved)

prune133.0ms (0.9%)

Memory
-31.2MiB live, 216.2MiB allocated
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New993111 004
Fresh71118
Picked235
Done022
Total1 002271 029
Accuracy
100.0%
Counts
1 029 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x eps) #s(literal 1 binary64))
42.1%
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
51.7%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
59.2%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
60.6%
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
76.8%
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
47.3%
(fma.f64 x (*.f64 eps (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) #s(literal 1 binary64))
✓75.4%
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
76.2%
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
50.0%
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
28.3%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
48.0%
(/.f64 (fma.f64 x (*.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) (*.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
62.0%
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
27.3%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
45.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
✓42.6%
(-.f64 #s(literal 1 binary64) x)
45.9%
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
✓39.2%
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
39.2%
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
85.5%
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
36.1%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
33.8%
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
61.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
35.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
3.1%
(neg.f64 x)
✓73.2%
(exp.f64 (neg.f64 x))
✓43.2%
#s(literal 1 binary64)
Compiler

Compiled 1 215 to 467 computations (61.6% saved)

regimes58.0ms (0.4%)

Memory
-0.4MiB live, 76.9MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x eps) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) (*.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #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 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (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 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
Calls

4 calls:

18.0ms
eps
14.0ms
x
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
99.6%1x
99.6%1eps
99.6%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.6%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes53.0ms (0.4%)

Memory
20.3MiB live, 95.6MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x eps) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) (*.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 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)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #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 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
Calls

4 calls:

15.0ms
x
13.0ms
eps
12.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
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)))))
Results
AccuracySegmentsBranch
92.0%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)

regimes33.0ms (0.2%)

Memory
15.4MiB live, 58.1MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x eps) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) (*.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(exp.f64 (neg.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
Calls

3 calls:

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))
11.0ms
eps
9.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.6%2eps
99.7%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.7%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes30.0ms (0.2%)

Memory
-17.8MiB live, 59.3MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x eps) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) (*.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
Outputs
(exp.f64 (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
Calls

3 calls:

11.0ms
eps
9.0ms
(-.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
94.4%2eps
95.1%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))
95.1%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)

regimes40.0ms (0.3%)

Memory
-7.6MiB live, 72.3MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x eps) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) (*.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) #s(literal 1 binary64))
Outputs
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
(fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
Calls

4 calls:

12.0ms
x
10.0ms
eps
9.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
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
87.2%3x
78.2%1eps
81.3%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))
81.3%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
21.1MiB live, 21.1MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x eps) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
(fma.f64 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 x (*.f64 eps eps)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) (*.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.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 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
Outputs
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
86.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-19.4MiB live, 18.0MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x eps) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 x (*.f64 eps (*.f64 eps (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
Outputs
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
84.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory
2.9MiB live, 40.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 x eps #s(literal -1 binary64)))))
Outputs
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
Calls

4 calls:

7.0ms
eps
5.0ms
x
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
73.1%2eps
78.2%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))
78.2%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
77.8%3x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes7.0ms (0%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
Outputs
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
Calls

2 calls:

3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
76.6%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
76.6%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes11.0ms (0.1%)

Memory
-15.2MiB live, 23.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
Outputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
Calls

3 calls:

5.0ms
x
3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
71.5%3x
73.8%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
73.8%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes12.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
Calls

4 calls:

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))
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
61.4%2x
59.2%1eps
59.2%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
59.2%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes13.0ms (0.1%)

Memory
-50.7MiB live, 7.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
Outputs
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
59.2%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
Outputs
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
x
2.0ms
eps
2.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
50.0%1eps
50.0%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
50.0%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
50.0%1x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes10.0ms (0.1%)

Memory
-17.8MiB live, 18.2MiB allocated
Accuracy

Total -25.9b remaining (-71.2%)

Threshold costs -25.9b (-71.2%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(literal 1 binary64)
Calls

4 calls:

5.0ms
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
43.2%1x
43.2%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
43.2%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
43.2%1eps
Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.9999999999995453
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.9999999999995453
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.201875930916501
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch45.0ms (0.3%)

Memory
17.3MiB live, 95.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
30.0ms
4.4562660665244084e-13
2.128809665502285e-8
10.0ms
-7.518937684936792e+69
-5.359266661855326e+65
Samples
13.0ms45×1valid
13.0ms115×0valid
4.0ms33×0exit
Compiler

Compiled 602 to 352 computations (41.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-exp: 7.0ms (28.5% of total)
ival-mult: 5.0ms (20.3% of total)
ival-sub: 3.0ms (12.2% of total)
ival-div: 3.0ms (12.2% of total)
adjust: 2.0ms (8.1% of total)
ival-neg: 2.0ms (8.1% of total)
ival-add: 2.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
1.0ms
4.4562660665244084e-13
2.128809665502285e-8
0.0ms
-7.518937684936792e+69
-5.359266661855326e+65
Compiler

Compiled 302 to 202 computations (33.1% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.4562660665244084e-13
2.128809665502285e-8
Compiler

Compiled 234 to 160 computations (31.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.201875930916501
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.201875930916501
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.201875930916501
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch8.0ms (0.1%)

Memory
-31.9MiB live, 11.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
7.0ms
-2.2228743173988824e-7
-2.3884869276624633e-9
Samples
6.0ms11×1valid
1.0ms5×0valid
Compiler

Compiled 57 to 42 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (54.9% of total)
ival-exp: 1.0ms (18.3% of total)
ival-mult: 1.0ms (18.3% of total)
ival-sub: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify44.0ms (0.3%)

Memory
18.0MiB live, 57.1MiB allocated
Algorithm
1×egg-herbie
Rules
408×distribute-lft-neg-in_binary64
200×neg-mul-1_binary64
190×neg-sub0_binary64
148×distribute-rgt-neg-in_binary64
146×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101454
1161454
2203442
3254442
4303442
5405442
6559442
7715442
8878442
91016442
101106442
111145442
121159442
131162442
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 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 0 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 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 4 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps))
(if (<=.f64 x #s(literal -49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps) (if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal -49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps) (if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x 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 4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps)))))
(if (<=.f64 x #s(literal -944473296573929/4722366482869645213696 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.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)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 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 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x 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)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 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 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x 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 4 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) 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 (+.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)) (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps))
(if (<=.f64 x #s(literal -49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps) (if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 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 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal -49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps) (if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (fma.f64 eps (+.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal -49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps) (if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal -49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) eps)) eps) (if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64))))
(if (<=.f64 x #s(literal 6346860552976803/302231454903657293676544 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.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 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 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 (+.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)) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.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 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
(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 (+.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)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x 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 4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x 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 (+.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)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps)))))
(if (<=.f64 x #s(literal -944473296573929/4722366482869645213696 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness2.0s (13.4%)

Memory
31.9MiB live, 1 247.1MiB allocated
Rules
18 424×lower-fma.f64
18 424×lower-fma.f32
18 314×lower-fma.f64
18 314×lower-fma.f32
16 366×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03223309
110733253
233233179
087583044
02993116
19752807
234092490
083702351
032182
060176
1236156
21987153
08793148
0110610367
137359466
091718938
03103059
110662958
235132874
373102874
087202696
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 974 to 465 computations (52.3% saved)

preprocess116.0ms (0.8%)

Memory
9.3MiB live, 164.5MiB allocated
Remove

(abs eps)

Compiler

Compiled 1 048 to 294 computations (71.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...