NMSE Section 6.1 mentioned, A

Time bar (total: 14.6s)

analyze29.0ms (0.2%)

Memory
8.7MiB live, 46.4MiB 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)

sample2.3s (15.9%)

Memory
36.3MiB live, 3 533.5MiB allocated
Samples
883.0ms2 329×1valid
774.0ms5 927×0valid
148.0ms931×0exit
4.0ms23×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-exp: 416.0ms (27.6% of total)
ival-mult: 329.0ms (21.9% of total)
ival-div: 220.0ms (14.6% of total)
ival-sub: 175.0ms (11.6% of total)
ival-neg: 124.0ms (8.2% of total)
ival-add: 116.0ms (7.7% of total)
adjust: 104.0ms (6.9% of total)
exact: 9.0ms (0.6% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess569.0ms (3.9%)

Memory
-116.6MiB live, 567.9MiB 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)

explain322.0ms (2.2%)

Memory
-5.5MiB live, 590.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
724(-7.962184712655231e-293 3.865742576078969e-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)))))cancellation760
Confusion
Predicted +Predicted -
+720
-4180
Precision
0.9473684210526315
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7200
-40180
Precision?
0.9473684210526315
Recall?
1.0
Freqs
test
numberfreq
0180
176
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
87.0ms148×1valid
56.0ms364×0valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 41.0ms (40.5% of total)
ival-exp: 19.0ms (18.8% of total)
ival-add: 10.0ms (9.9% of total)
ival-sub: 9.0ms (8.9% of total)
ival-div: 9.0ms (8.9% of total)
ival-neg: 7.0ms (6.9% of total)
adjust: 5.0ms (4.9% of total)
ival-true: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #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)

simplify405.0ms (2.8%)

Memory
18.3MiB live, 490.2MiB 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)

localize118.0ms (0.8%)

Memory
3.9MiB live, 129.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓accuracy72.7%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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
42.0ms182×0valid
31.0ms74×1valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 32.0ms (53.4% of total)
ival-exp: 9.0ms (15% of total)
ival-div: 5.0ms (8.3% of total)
ival-sub: 4.0ms (6.7% of total)
adjust: 3.0ms (5% of total)
ival-neg: 3.0ms (5% of total)
ival-add: 3.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
-6.2MiB live, 31.5MiB 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) eps) x)>
Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<alt (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt 2>
#<alt (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt x>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
Calls

36 calls:

TimeVariablePointExpression
17.0ms
x
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
3.0ms
eps
@0
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms
eps
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
1.0ms
x
@inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
1.0ms
x
@0
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)

rewrite439.0ms (3%)

Memory
11.0MiB live, 433.0MiB 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
01985
03485
113180
293279
0893173
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 478
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
Outputs
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) eps)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))

simplify558.0ms (3.8%)

Memory
52.4MiB live, 631.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 496×lower-fma.f64
13 496×lower-fma.f32
3 932×lower-*.f64
3 932×lower-*.f32
3 808×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02692952
18682574
229922247
082642101
Stop Event
1×iter limit
1×node limit
Counts
144 → 142
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))))))))
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(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
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1
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(* 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))))
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(* 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))))
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2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
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(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps x)
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) x)))
(* x (- eps 1))
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(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
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(* 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))
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(* 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 (+ (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)))
x
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 (* eps x))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))) (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64)))))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
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(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(* -1 x)
(neg.f64 x)
(- (* eps x) x)
(fma.f64 x eps (neg.f64 x))
(- (* eps x) x)
(fma.f64 x eps (neg.f64 x))
(- (* eps x) x)
(fma.f64 x eps (neg.f64 x))
(* eps x)
(*.f64 x eps)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (- (/ x eps) x)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (- (/ x eps) x)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (- (/ x eps) x)))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* x (- eps 1))
(fma.f64 x eps (neg.f64 x))
(* x (- eps 1))
(fma.f64 x eps (neg.f64 x))
(* x (- eps 1))
(fma.f64 x eps (neg.f64 x))
(* x (- eps 1))
(fma.f64 x eps (neg.f64 x))
(* x (- eps 1))
(fma.f64 x eps (neg.f64 x))
(* x (- eps 1))
(fma.f64 x eps (neg.f64 x))
(* x (- eps 1))
(fma.f64 x eps (neg.f64 x))
(* x (- eps 1))
(fma.f64 x eps (neg.f64 x))
(* -1 (* x (- 1 eps)))
(fma.f64 x eps (neg.f64 x))
(* -1 (* x (- 1 eps)))
(fma.f64 x eps (neg.f64 x))
(* -1 (* x (- 1 eps)))
(fma.f64 x eps (neg.f64 x))
(* -1 (* x (- 1 eps)))
(fma.f64 x eps (neg.f64 x))
x
(+ x (* eps x))
(fma.f64 x eps x)
(+ x (* eps x))
(fma.f64 x eps x)
(+ x (* eps x))
(fma.f64 x eps x)
(* eps x)
(*.f64 x eps)
(* eps (+ x (/ x eps)))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* eps (+ x (/ x eps)))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* eps (+ x (/ x eps)))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(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 (+ (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 (fma.f64 x eps (neg.f64 x)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 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 (fma.f64 x eps (neg.f64 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 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 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 (fma.f64 x eps (neg.f64 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 (fma.f64 x eps (neg.f64 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)))
(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) (/.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 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
x
(+ x (* -1 (* eps x)))
(-.f64 x (*.f64 x eps))
(+ x (* -1 (* eps x)))
(-.f64 x (*.f64 x eps))
(+ x (* -1 (* eps x)))
(-.f64 x (*.f64 x eps))
(* -1 (* eps x))
(*.f64 x (neg.f64 eps))
(* eps (+ (* -1 x) (/ x eps)))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(* eps (+ (* -1 x) (/ x eps)))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(* eps (+ (* -1 x) (/ x eps)))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(* -1 (* eps x))
(*.f64 x (neg.f64 eps))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(*.f64 eps (-.f64 (/.f64 x eps) x))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))
(* x (- 1 eps))
(-.f64 x (*.f64 x eps))

eval174.0ms (1.2%)

Memory
-1.9MiB live, 188.2MiB allocated
Compiler

Compiled 31 544 to 2 446 computations (92.2% saved)

prune179.0ms (1.2%)

Memory
14.3MiB live, 197.8MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6119620
Fresh000
Picked101
Done000
Total6129621
Accuracy
100.0%
Counts
621 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
▶79.7%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
45.4%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
▶72.7%
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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))
▶37.4%
(/.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))
71.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x)) (/.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))
▶98.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
56.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶44.8%
#s(literal 1 binary64)
Compiler

Compiled 592 to 298 computations (49.7% saved)

simplify458.0ms (3.1%)

Memory
27.7MiB live, 754.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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))
✓cost-diff128
(*.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 (fma.f64 x (neg.f64 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-diff384
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓cost-diff64
(/.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-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))
✓cost-diff1280
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))
✓cost-diff0
(fma.f64 x eps (neg.f64 x))
✓cost-diff0
(exp.f64 (fma.f64 x eps (neg.f64 x)))
✓cost-diff0
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
12 374×lower-fma.f32
12 364×lower-fma.f64
2 840×lower-+.f32
2 826×lower-+.f64
2 802×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046529
091525
1197519
2605505
33025505
08008488
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(fma.f64 x eps (neg.f64 x))
x
eps
(neg.f64 x)
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 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)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.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) (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal -1 binary64) eps)
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))
(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 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 (+.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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 eps) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(fma.f64 x (neg.f64 eps) x)
x
(neg.f64 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))
(/.f64 #s(literal 1 binary64) 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)
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
x
eps
(neg.f64 x)
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 x (*.f64 x eps))) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 (-.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 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 x (*.f64 x eps))) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 (-.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 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 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)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 x (*.f64 x eps))) (+.f64 eps #s(literal -1 binary64))) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 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))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 x (*.f64 x eps))) (+.f64 eps #s(literal -1 binary64)))
(*.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))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))
(*.f64 (fma.f64 x eps x) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) eps) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) eps) 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))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) eps))))
(-.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) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(*.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) eps) eps)
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
x
#s(literal 2 binary64)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (fma.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (*.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 (fma.f64 x (neg.f64 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))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
eps
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(exp.f64 (-.f64 x (*.f64 x eps)))
(fma.f64 x (neg.f64 eps) x)
(-.f64 x (*.f64 x eps))
x
(neg.f64 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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) eps) eps)
(/.f64 #s(literal 1 binary64) eps)
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 2 binary64)

localize316.0ms (2.2%)

Memory
-6.3MiB live, 630.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓accuracy72.7%
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓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)
✓accuracy74.2%
(-.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)))))
✓accuracy96.8%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))
✓accuracy96.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓accuracy89.4%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))
✓accuracy52.0%
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (fma.f64 x eps (neg.f64 x)))
✓accuracy100.0%
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Samples
118.0ms105×1valid
69.0ms35×2valid
19.0ms60×0exit
18.0ms56×0valid
Compiler

Compiled 548 to 53 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-div: 80.0ms (43.8% of total)
ival-mult: 30.0ms (16.4% of total)
ival-add: 22.0ms (12% of total)
adjust: 21.0ms (11.5% of total)
ival-exp: 15.0ms (8.2% of total)
ival-sub: 11.0ms (6% of total)
ival-neg: 4.0ms (2.2% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.4%)

Memory
26.0MiB live, 145.5MiB allocated
Counts
21 → 468
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))>
#<alt (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))>
#<alt (exp.f64 (fma.f64 x eps (neg.f64 x)))>
#<alt (fma.f64 x eps (neg.f64 x))>
#<alt (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 eps) x)))>
#<alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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 x (-.f64 #s(literal -1 binary64) eps))>
#<alt (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))>
#<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)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))>
#<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 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))>
#<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))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (neg x)) (exp (* -1 x)))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (/ (+ (* -1/2 x) (* 1/2 x)) eps)>
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) eps)>
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (* -1 x))))))))) eps)>
#<alt (/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (+ (* -1 x) (* eps x)))))))))) eps)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps)))))))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (/ x eps)))))))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 x)) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) 1) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) eps))))>
#<alt (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps)>
#<alt (- (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))) eps)>
#<alt (- (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))) eps)>
#<alt (- (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))) eps)>
#<alt (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))>
#<alt (* x (- (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))) (/ eps x)))>
#<alt (* x (- (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))) (/ eps x)))>
#<alt (* x (- (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))) (/ eps x)))>
#<alt (* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))>
#<alt (/ -1/2 eps)>
#<alt (/ (- (* -1/2 eps) 1/2) eps)>
#<alt (/ (- (* eps (- (* 1/2 eps) 1/2)) 1/2) eps)>
#<alt (/ (- (* eps (- (* eps (+ 1/2 (* 1/2 eps))) 1/2)) 1/2) eps)>
#<alt (* 1/2 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ 1/2 (* 1/2 (/ 1 eps))) (/ 1/2 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) (pow eps 2))) (* 1/2 (/ 1 eps)))))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) eps))))>
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#<alt (/ (+ (* 1/2 (- (/ 1 (exp x)) (exp (neg x)))) (* eps (+ (* 1/2 (- (/ 1 (exp x)) (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* -1 (/ x (exp x))))))) (* eps (+ (* -1/2 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 2) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))))))))) (* -1/2 (+ (* -1 (/ x (exp x))) (+ (* -1 (/ (pow x 2) (exp x))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (/ (pow x 2) (exp x))) (* x (exp (neg x))))))))))))) eps)>
#<alt (* 1/2 (- (/ 1 (exp (+ x (* -1 (* eps x))))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 1/2 (- (/ 1 (exp (+ x (* -1 (* eps x))))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (/ 1 (exp (+ x (* -1 (* eps x))))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (/ 1 (exp (+ x (* -1 (* eps x))))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (/ 1 (exp (+ x (* -1 (* eps x))))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (/ 1 (exp (+ x (* -1 (* eps x))))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (/ 1 (exp (+ x (* -1 (* eps x))))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (* 1/2 (- (/ 1 (exp (+ x (* -1 (* eps x))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* 1/2 (- (/ 1 (exp (+ x (* -1 (* eps x))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) (* 1/2 (/ (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ 1 (exp (+ x (* -1 (* eps x)))))) eps)))>
#<alt (+ (* 1/2 (- (/ 1 (exp (+ x (* -1 (* eps x))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) (* 1/2 (/ (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ 1 (exp (+ x (* -1 (* eps x)))))) eps)))>
#<alt (+ (* 1/2 (- (/ 1 (exp (+ x (* -1 (* eps x))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) (* 1/2 (/ (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ 1 (exp (+ x (* -1 (* eps x)))))) eps)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x (+ (* -1 eps) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))))))>
#<alt (+ 1 (* x (+ (* -1/2 (* x (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (/ (pow (+ 1 (* -1 eps)) 2) eps)) (+ (* 1/2 (pow (+ 1 (* -1 eps)) 2)) (* (+ 1 (* -1 eps)) (- 1 (/ 1 eps))))))))) (* -1/2 (+ (* -1 eps) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ (* -1 eps) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)))) (* x (+ (* -1/2 (* x (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* 1/2 (/ (pow (+ 1 (* -1 eps)) 2) eps)) (* (+ 1 (* -1 eps)) (- 1 (/ 1 eps)))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))) (+ (* 1/6 (/ (pow (+ 1 (* -1 eps)) 3) eps)) (+ (* 1/6 (pow (+ 1 (* -1 eps)) 3)) (* 1/2 (* (pow (+ 1 (* -1 eps)) 2) (- 1 (/ 1 eps)))))))))))) (* -1/2 (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (/ (pow (+ 1 (* -1 eps)) 2) eps)) (+ (* 1/2 (pow (+ 1 (* -1 eps)) 2)) (* (+ 1 (* -1 eps)) (- 1 (/ 1 eps)))))))))))))>
#<alt (* 1/2 (- (+ (/ 1 (exp (+ x (* -1 (* eps x))))) (/ 1 (* eps (exp (+ x (* -1 (* eps x))))))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (+ (/ 1 (exp (+ x (* -1 (* eps x))))) (/ 1 (* eps (exp (+ x (* -1 (* eps x))))))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (+ (/ 1 (exp (+ x (* -1 (* eps x))))) (/ 1 (* eps (exp (+ x (* -1 (* eps x))))))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (+ (/ 1 (exp (+ x (* -1 (* eps x))))) (/ 1 (* eps (exp (+ x (* -1 (* eps x))))))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (+ (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))) (/ 1 (* eps (exp (- (* -1 (* eps x)) (* -1 x)))))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (+ (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))) (/ 1 (* eps (exp (- (* -1 (* eps x)) (* -1 x)))))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (+ (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))) (/ 1 (* eps (exp (- (* -1 (* eps x)) (* -1 x)))))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (+ (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))) (/ 1 (* eps (exp (- (* -1 (* eps x)) (* -1 x)))))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (/ (- (+ (* -1/2 x) (* 1/2 x)) 1) eps)>
#<alt (/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) 1) eps)>
#<alt (/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (* -1 x)))))))))) 1) eps)>
#<alt (/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))))))) 1) eps)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps)))))>
#<alt (* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (+ (/ 1 eps) (/ x eps))))))))>
#<alt (* (pow eps 2) (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (+ (/ 1 eps) (/ x eps))))))))) (/ 1 (pow eps 3))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (+ x (* -1 x)) 1) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) 1) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) 1) eps))))>
#<alt (* (+ 1 (/ 1 eps)) (- eps 1))>
#<alt (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))>
#<alt (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))>
#<alt (- eps 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))>
#<alt (* -1/2 (/ x eps))>
#<alt (/ (+ (* -1/2 x) (* -1/2 (* eps x))) eps)>
#<alt (/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))) eps)>
#<alt (/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* 1/2 x) (* 1/2 (* eps x))))))) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) eps)) (* 1/2 x)))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
Calls

117 calls:

TimeVariablePointExpression
7.0ms
x
@0
(- (/ (- 1 (/ -1 eps)) (exp (+ (* x (neg eps)) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
3.0ms
x
@inf
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* 1/2 (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))))
3.0ms
eps
@0
(+ (* x eps) (neg x))
2.0ms
x
@inf
(+ (+ (- -1 eps) (/ (+ eps 1) eps)) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* 1/2 (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps))))))
2.0ms
x
@0
(+ (+ (- -1 eps) (/ (+ eps 1) eps)) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* 1/2 (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps))))))

rewrite403.0ms (2.8%)

Memory
-73.0MiB live, 764.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 296×lower-fma.f32
4 286×lower-fma.f64
4 162×lower-*.f32
4 144×lower-*.f64
3 286×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046364
091356
1418351
24251351
08587344
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 636
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(fma.f64 x eps (neg.f64 x))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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 x (-.f64 #s(literal -1 binary64) eps))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))))
(fma.f64 (exp.f64 (*.f64 x eps)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64))) (*.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (neg.f64 eps) x))))
(*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (neg.f64 eps) x))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(+.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(-.f64 (/.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 x) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (neg.f64 x)) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) (exp.f64 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 eps) x)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(fma.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (*.f64 x eps) #s(literal 0 binary64))) (exp.f64 (neg.f64 x)) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x (neg.f64 eps) x))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (-.f64 (exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(exp.f64 (neg.f64 (fma.f64 x (neg.f64 eps) x)))
(exp.f64 (*.f64 (fma.f64 x (neg.f64 eps) x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(/.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
(/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) (exp.f64 x))
(/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(/.f64 (exp.f64 (fma.f64 x eps #s(literal 0 binary64))) (exp.f64 x))
(pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 eps) (exp.f64 #s(literal -1 binary64))) x)
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simplify448.0ms (3.1%)

Memory
-10.2MiB live, 932.9MiB allocated
Algorithm
1×egg-herbie
Rules
10 668×lower-fma.f64
10 668×lower-fma.f32
7 592×lower-+.f64
7 592×lower-+.f32
5 756×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010059288
135678188
090117797
Stop Event
1×iter limit
1×node limit
Counts
468 → 467
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
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1
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2
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x
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1
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(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* -1/2 (/ x eps))
(/ (+ (* -1/2 x) (* -1/2 (* eps x))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* 1/2 x) (* 1/2 (* eps x))))))) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) eps)) (* 1/2 x)))
(/ (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))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (neg.f64 x)) #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 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 #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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (neg x)) (exp (* -1 x))))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (* x (- (* -1 eps) 1))) (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 (* x (- (* -1 eps) 1))) (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 (* x (- (* -1 eps) 1))) (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 (* x (- (* -1 eps) 1))) (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 (+.f64 eps (-.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 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 #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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (neg x)) (exp (* -1 x)))
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))
(fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64)))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))
(fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (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 (+ 1 eps)))) (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 (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(fma.f64 x (+.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))))) (exp.f64 (neg.f64 x)))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
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(exp (- (* eps x) x))
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(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(fma.f64 x (*.f64 (-.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)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (-.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)))
(- (+ (* 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 x (fma.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))) (*.f64 (-.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 (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))

eval227.0ms (1.6%)

Memory
39.5MiB live, 513.0MiB allocated
Compiler

Compiled 51 977 to 3 540 computations (93.2% saved)

prune143.0ms (1%)

Memory
2.3MiB live, 396.2MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1 240151 255
Fresh224
Picked415
Done000
Total1 246181 264
Accuracy
100.0%
Counts
1 264 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.5%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
66.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
79.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
44.1%
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
63.2%
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))))) #s(literal 0 binary64)) eps)
71.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x)) (/.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))
45.2%
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
40.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
42.9%
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
▶68.9%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
41.4%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 #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 (+.f64 eps #s(literal -1 binary64)) (+.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)))
62.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶98.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
67.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1 binary64)))
87.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶56.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓44.8%
#s(literal 1 binary64)
▶13.8%
#s(literal 0 binary64)
Compiler

Compiled 807 to 459 computations (43.1% saved)

simplify293.0ms (2%)

Memory
-9.1MiB live, 510.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓cost-diff512
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff320
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
✓cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 x eps))
✓cost-diff192
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))))
✓cost-diff256
(+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))
✓cost-diff1024
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps)
✓cost-diff0
(exp.f64 (fma.f64 x (neg.f64 eps) x))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
Rules
9 270×lower-fma.f32
9 266×lower-fma.f64
3 654×lower-*.f32
3 636×lower-*.f64
1 594×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032219
059198
1127192
2312181
3762168
41904168
54985168
08562163
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(literal 1/2 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
#s(literal 1 binary64)
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(fma.f64 x (neg.f64 eps) x)
x
(neg.f64 eps)
eps
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(literal 0 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps)
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))))
#s(literal 0 binary64)
(*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))
eps
(+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))
(neg.f64 x)
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))
(+.f64 #s(literal 0 binary64) (*.f64 x eps))
(*.f64 x eps)
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 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)))))
#s(literal 1/2 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
#s(literal 1 binary64)
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(exp.f64 (-.f64 x (*.f64 x eps)))
(fma.f64 x (neg.f64 eps) x)
(-.f64 x (*.f64 x eps))
x
(neg.f64 eps)
eps
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(literal 0 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps)
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))))
(*.f64 (*.f64 x eps) (fma.f64 eps eps #s(literal -1 binary64)))
#s(literal 0 binary64)
(*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))
(*.f64 (*.f64 x eps) (fma.f64 eps eps #s(literal -1 binary64)))
eps
(+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(neg.f64 x)
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))
(*.f64 x (*.f64 eps eps))
(+.f64 #s(literal 0 binary64) (*.f64 x eps))
(*.f64 x eps)
(*.f64 x eps)
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize159.0ms (1.1%)

Memory
-30.6MiB live, 231.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓accuracy100.0%
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
✓accuracy100.0%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy99.9%
(*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))
✓accuracy99.9%
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))
✓accuracy98.5%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
✓accuracy83.3%
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps)
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
Samples
75.0ms196×0valid
12.0ms60×0exit
Compiler

Compiled 227 to 36 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 23.0ms (49.5% of total)
ival-add: 11.0ms (23.7% of total)
ival-exp: 5.0ms (10.8% of total)
ival-div: 3.0ms (6.5% of total)
ival-neg: 2.0ms (4.3% of total)
ival-sub: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory
15.2MiB live, 53.2MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))>
#<alt (exp.f64 (fma.f64 x (neg.f64 eps) x))>
#<alt (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps)>
#<alt (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))>
#<alt (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))))>
#<alt (+.f64 #s(literal 0 binary64) (*.f64 x eps))>
#<alt (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))>
#<alt (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))>
#<alt (*.f64 x (-.f64 #s(literal -1 binary64) eps))>
#<alt (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))>
#<alt (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))>
#<alt (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))>
#<alt (+.f64 (+.f64 x #s(literal 2 binary64)) x)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3)))))) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))>
#<alt (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))>
#<alt (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))>
#<alt (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))>
#<alt (/ 1 (exp x))>
#<alt (+ (/ 1 (exp x)) (/ (* eps x) (exp x)))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* -1 (+ 1 eps)) (+ 1 (* -1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (pow (+ 1 eps) 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2)))))) (* 1/2 (- (* -1 (+ 1 eps)) (+ 1 (* -1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (* -1 (+ 1 eps)) (+ 1 (* -1 eps)))) (* x (+ (* 1/2 (* x (- (* -1/6 (pow (+ 1 eps) 3)) (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3))))))) (* 1/2 (- (* 1/2 (pow (+ 1 eps) 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))>
#<alt (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x))))>
#<alt (+ (* 1/2 (* eps (- (* -1 (* x (exp (* -1 x)))) (* -1 (/ x (exp x)))))) (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))))>
#<alt (+ (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- (* -1 (* x (exp (* -1 x)))) (* -1 (/ x (exp x))))))))>
#<alt (+ (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))) (* eps (+ (* 1/2 (- (* -1 (* x (exp (* -1 x)))) (* -1 (/ x (exp x))))) (* eps (+ (* 1/2 (* eps (- (* -1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))) (* 1/2 (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt 2>
#<alt (+ 2 (* x (- (* -1 (+ 1 eps)) (+ 1 (* -1 eps)))))>
#<alt (+ 2 (* x (- (+ (* -1 (+ 1 eps)) (* x (- (* 1/2 (pow (+ 1 eps) 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2)))))) (+ 1 (* -1 eps)))))>
#<alt (+ 2 (* x (- (+ (* -1 (+ 1 eps)) (* x (- (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (- (* -1/6 (pow (+ 1 eps) 3)) (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3))))))) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2)))))) (+ 1 (* -1 eps)))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (/ 1 (exp x)))>
#<alt (+ (exp (* -1 x)) (+ (* eps (- (* -1 (* x (exp (* -1 x)))) (* -1 (/ x (exp x))))) (/ 1 (exp x))))>
#<alt (+ (exp (* -1 x)) (+ (* eps (- (+ (* -1 (* x (exp (* -1 x)))) (* eps (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))))>
#<alt (+ (exp (* -1 x)) (+ (* eps (- (+ (* -1 (* x (exp (* -1 x)))) (* eps (- (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (- (* -1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt 1>
#<alt (+ 1 (* x (+ 1 (* -1 eps))))>
#<alt (+ 1 (* x (+ 1 (+ (* -1 eps) (* 1/2 (* x (pow (+ 1 (* -1 eps)) 2)))))))>
#<alt (+ 1 (* x (+ 1 (+ (* -1 eps) (* x (+ (* 1/6 (* x (pow (+ 1 (* -1 eps)) 3))) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (- (* -1 (* eps x)) (* -1 x)))>
#<alt (exp (- (* -1 (* eps x)) (* -1 x)))>
#<alt (exp (- (* -1 (* eps x)) (* -1 x)))>
#<alt (exp (- (* -1 (* eps x)) (* -1 x)))>
#<alt (exp x)>
#<alt (+ (exp x) (* -1 (* eps (* x (exp x)))))>
#<alt (+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* 1/2 (* eps (* (pow x 2) (exp x)))))))>
#<alt (+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (* -1 x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) x)>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* 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>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (* x (exp (neg x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (exp (* -1 x)))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))>
#<alt (* 2 (* x (exp (neg x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* 2 (* x (exp (* -1 x))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (* 1/2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (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 x))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* eps (+ (* -1 x) (* (pow eps 2) x)))>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) x)>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* eps (* x (- (pow eps 2) 1)))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
Calls

96 calls:

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

rewrite429.0ms (2.9%)

Memory
28.3MiB live, 985.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 434×lower-fma.f32
6 430×lower-fma.f64
4 750×lower-*.f32
4 732×lower-*.f64
4 318×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032177
059153
1250146
22118142
09279141
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 2 465
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps)
(+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))
(+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps))))))
(+.f64 #s(literal 0 binary64) (*.f64 x eps))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))
(*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
Outputs
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps))) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (fma.f64 x eps x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 (fma.f64 x eps x))))))
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)))
(/.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
(/.f64 (neg.f64 (exp.f64 (*.f64 x eps))) (neg.f64 (exp.f64 x)))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 x eps))))
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(pow.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (fma.f64 x eps x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
(pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) x)
(pow.f64 (neg.f64 (neg.f64 (exp.f64 (fma.f64 x eps x)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))))))
(*.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))))) (+.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (-.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (-.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (-.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64)))))) (neg.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (-.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64))) (exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (-.f64 (*.f64 x eps) x))))
(*.f64 (+.f64 (exp.f64 (-.f64 (*.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 (-.f64 (*.f64 x eps) x)))
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simplify570.0ms (3.9%)

Memory
10.5MiB live, 1 180.2MiB allocated
Algorithm
1×egg-herbie
Rules
23 816×lower-fma.f64
23 816×lower-fma.f32
4 852×lower-*.f64
4 852×lower-*.f32
4 804×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03583800
112003485
238463120
086022973
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
1
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(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* (pow eps 3) x)
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) x)
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
1
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(* 1/2 (* (pow x 2) (- (pow eps 2) 1)))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (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 x))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* eps (+ (* -1 x) (* (pow eps 2) x)))
(* (pow eps 3) x)
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 3) x)
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1 x) (/ x (pow eps 2)))))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* eps (* x (- (pow eps 2) 1)))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 1 (* -1 eps)))))
(fma.f64 x eps (-.f64 #s(literal 1 binary64) x))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))
(fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3)))))) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))
(fma.f64 x (+.f64 (fma.f64 x (neg.f64 (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 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp x))
(exp.f64 (neg.f64 x))
(+ (/ 1 (exp x)) (/ (* eps x) (exp x)))
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (exp.f64 (neg.f64 x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) eps))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) (exp.f64 (neg.f64 x)))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* -1 (+ 1 eps)) (+ 1 (* -1 eps))))))
(fma.f64 (+.f64 eps (+.f64 (neg.f64 eps) #s(literal -2 binary64))) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (pow (+ 1 eps) 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2)))))) (* 1/2 (- (* -1 (+ 1 eps)) (+ 1 (* -1 eps)))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (+.f64 eps (+.f64 (neg.f64 eps) #s(literal -2 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* -1 (+ 1 eps)) (+ 1 (* -1 eps)))) (* x (+ (* 1/2 (* x (- (* -1/6 (pow (+ 1 eps) 3)) (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3))))))) (* 1/2 (- (* 1/2 (pow (+ 1 eps) 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (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 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64)))))) (+.f64 eps (+.f64 (neg.f64 eps) #s(literal -2 binary64))))) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* 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)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* 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)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* 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)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* 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)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x))))
(exp.f64 (neg.f64 x))
(+ (* 1/2 (* eps (- (* -1 (* x (exp (* -1 x)))) (* -1 (/ x (exp x)))))) (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))))
(fma.f64 eps #s(literal 0 binary64) (exp.f64 (neg.f64 x)))
(+ (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- (* -1 (* x (exp (* -1 x)))) (* -1 (/ x (exp x))))))))
(fma.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(+ (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))) (* eps (+ (* 1/2 (- (* -1 (* x (exp (* -1 x)))) (* -1 (/ x (exp x))))) (* eps (+ (* 1/2 (* eps (- (* -1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))) (* 1/2 (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 eps #s(literal 0 binary64))) (*.f64 eps eps) (exp.f64 (neg.f64 x)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* 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)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
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(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (* x (- (pow eps 2) 1)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (* x (- (pow eps 2) 1)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* eps (* x (- (pow eps 2) 1)))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
(* -1 (* eps (* x (+ 1 (* -1 (pow eps 2))))))
(*.f64 x (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))

eval954.0ms (6.5%)

Memory
-23.9MiB live, 655.3MiB allocated
Compiler

Compiled 89 460 to 10 833 computations (87.9% saved)

prune725.0ms (5%)

Memory
7.6MiB live, 858.2MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New2 900192 919
Fresh6612
Picked325
Done011
Total2 909282 937
Accuracy
100.0%
Counts
2 937 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) #s(literal 1 binary64))
84.2%
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
44.2%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
53.5%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
52.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) #s(literal 1 binary64))
23.2%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) eps) (*.f64 x (*.f64 eps (*.f64 x eps))))))) eps) #s(literal 1 binary64))
▶79.5%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
▶22.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
79.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
54.2%
(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))
59.8%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
44.1%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
63.2%
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))))) #s(literal 0 binary64)) eps)
71.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x)) (/.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))
▶44.4%
(-.f64 #s(literal 1 binary64) x)
45.2%
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
40.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
14.0%
(*.f64 x (exp.f64 (neg.f64 x)))
68.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶92.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))
87.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
44.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
53.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓56.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶47.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
44.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓44.8%
#s(literal 1 binary64)
✓13.8%
#s(literal 0 binary64)
Compiler

Compiled 967 to 580 computations (40% saved)

simplify201.0ms (1.4%)

Memory
6.6MiB live, 358.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
✓cost-diff128
(-.f64 (*.f64 eps (*.f64 x eps)) x)
✓cost-diff3968
(/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x))))
✓cost-diff0
(*.f64 x (*.f64 eps (*.f64 eps eps)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
✓cost-diff1024
(/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps)
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 x (*.f64 eps eps))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 eps eps)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(exp.f64 (fma.f64 x (neg.f64 eps) x))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
Rules
6 032×lower-fma.f32
6 026×lower-fma.f64
4 996×lower-*.f32
4 964×lower-*.f64
2 222×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033323
064336
1139336
2419307
33020237
09003233
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))
#s(literal 1/2 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
#s(literal 1 binary64)
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(fma.f64 x (neg.f64 eps) x)
x
(neg.f64 eps)
eps
(exp.f64 (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 x (*.f64 eps eps)))
x
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
eps
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps)
(*.f64 x (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x))))
(neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)))))
(*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))
eps
(*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)))
(-.f64 (*.f64 eps (*.f64 x eps)) x)
(*.f64 eps (*.f64 x eps))
(*.f64 x eps)
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))
(*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x))
(neg.f64 eps)
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))
#s(literal 1/2 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
#s(literal 1 binary64)
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(exp.f64 (-.f64 x (*.f64 x eps)))
(fma.f64 x (neg.f64 eps) x)
(-.f64 x (*.f64 x eps))
x
(neg.f64 eps)
eps
(exp.f64 (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 x (*.f64 eps eps)))
x
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
eps
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps)
(*.f64 x (*.f64 eps eps))
(*.f64 x (*.f64 eps (*.f64 eps eps)))
(*.f64 eps (*.f64 eps eps))
eps
(*.f64 eps eps)
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x))))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)))))
(*.f64 (neg.f64 eps) (*.f64 (*.f64 x (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (*.f64 x (fma.f64 eps eps #s(literal -1 binary64))))))
(*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))))
eps
(*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)))
(*.f64 (*.f64 x (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))))
(-.f64 (*.f64 eps (*.f64 x eps)) x)
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(*.f64 eps (*.f64 x eps))
(*.f64 x (*.f64 eps eps))
(*.f64 x eps)
(*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))
(*.f64 eps (*.f64 x (fma.f64 eps eps #s(literal -1 binary64))))
(*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))
(neg.f64 (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps eps #s(literal -1 binary64))))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x))
(*.f64 eps (-.f64 x (*.f64 x (*.f64 eps eps))))
(neg.f64 eps)
#s(literal 1 binary64)

localize115.0ms (0.8%)

Memory
-10.4MiB live, 231.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 eps (*.f64 x eps))
✓accuracy98.5%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
✓accuracy97.4%
(*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))
✓accuracy45.8%
(/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x))))
✓accuracy99.9%
(*.f64 eps (*.f64 eps eps))
✓accuracy98.5%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
✓accuracy94.3%
(*.f64 x (*.f64 eps (*.f64 eps eps)))
✓accuracy92.8%
(/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps)
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
✓accuracy96.0%
(*.f64 x (*.f64 x (*.f64 eps eps)))
✓accuracy94.0%
(*.f64 x (*.f64 eps eps))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(exp.f64 (fma.f64 x (neg.f64 eps) x))
✓accuracy100.0%
(exp.f64 (*.f64 x (neg.f64 eps)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
Samples
51.0ms196×0valid
16.0ms60×0exit
Compiler

Compiled 332 to 37 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 25.0ms (53.5% of total)
ival-add: 6.0ms (12.8% of total)
ival-div: 5.0ms (10.7% of total)
ival-exp: 5.0ms (10.7% of total)
ival-sub: 2.0ms (4.3% of total)
ival-neg: 2.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.1%)

Memory
21.2MiB live, 59.8MiB allocated
Counts
20 → 432
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps))))>
#<alt (exp.f64 (fma.f64 x (neg.f64 eps) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))>
#<alt (*.f64 x (*.f64 x (*.f64 eps eps)))>
#<alt (*.f64 x (*.f64 eps eps))>
#<alt (*.f64 eps eps)>
#<alt (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps)>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (*.f64 eps (*.f64 eps eps)))>
#<alt (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x))))>
#<alt (-.f64 (*.f64 eps (*.f64 x eps)) x)>
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))>
#<alt (exp.f64 (*.f64 x (neg.f64 eps)))>
#<alt (*.f64 eps (*.f64 eps eps))>
#<alt (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))>
#<alt (*.f64 eps (*.f64 x eps))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3)))))) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))>
#<alt (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))>
#<alt (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))>
#<alt (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))>
#<alt (/ 1 (exp x))>
#<alt (+ (/ 1 (exp x)) (/ (* eps x) (exp x)))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt (/ 1 (exp (+ x (* -1 (* eps x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/2 (* x (- (* 1/2 (pow eps 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2)))))) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ (* 1/2 (* x (- (* -1/6 (pow eps 3)) (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3))))))) (* 1/2 (- (* 1/2 (pow eps 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))))) 1/2)))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))>
#<alt (* 1/2 (+ 1 (/ 1 (exp x))))>
#<alt (+ (* 1/2 (* eps (- (* -1 x) (* -1 (/ x (exp x)))))) (* 1/2 (+ 1 (/ 1 (exp x)))))>
#<alt (+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- (* -1 x) (* -1 (/ x (exp x))))))))>
#<alt (+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (- (* -1 x) (* -1 (/ x (exp x))))) (* eps (+ (* 1/2 (* eps (- (* -1/6 (pow x 3)) (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* x (- (* x (- (* 1/2 (pow eps 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) 1)))>
#<alt (+ 2 (* x (- (* x (- (+ (* 1/2 (pow eps 2)) (* x (- (* -1/6 (pow eps 3)) (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3))))))) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) 1)))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))>
#<alt (+ 1 (/ 1 (exp x)))>
#<alt (+ 1 (+ (* eps (- (* -1 x) (* -1 (/ x (exp x))))) (/ 1 (exp x))))>
#<alt (+ 1 (+ (* eps (- (+ (* -1 x) (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))))>
#<alt (+ 1 (+ (* eps (- (+ (* -1 x) (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (* -1/6 (pow x 3)) (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))>
#<alt 1>
#<alt (+ 1 (* x (+ 1 (* -1 eps))))>
#<alt (+ 1 (* x (+ 1 (+ (* -1 eps) (* 1/2 (* x (pow (+ 1 (* -1 eps)) 2)))))))>
#<alt (+ 1 (* x (+ 1 (+ (* -1 eps) (* x (+ (* 1/6 (* x (pow (+ 1 (* -1 eps)) 3))) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (- (* -1 (* eps x)) (* -1 x)))>
#<alt (exp (- (* -1 (* eps x)) (* -1 x)))>
#<alt (exp (- (* -1 (* eps x)) (* -1 x)))>
#<alt (exp (- (* -1 (* eps x)) (* -1 x)))>
#<alt (exp x)>
#<alt (+ (exp x) (* -1 (* eps (* x (exp x)))))>
#<alt (+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* 1/2 (* eps (* (pow x 2) (exp x)))))))>
#<alt (+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt (exp (+ x (* -1 (* eps x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* 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 (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* (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>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) x)>
#<alt (* -1 x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (- (* (pow eps 2) x) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* x (- (pow eps 2) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ 1 (* -1 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (* 1/2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ (* -1 eps) (* x (+ (* -1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt 1>
#<alt (+ 1 (* -1 (* eps x)))>
#<alt (+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -2 (* (pow eps 2) (pow x 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* (pow eps 2) (+ (* -2 (pow x 2)) (* (pow eps 2) (pow x 2)))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* (pow eps 2) (+ (* -2 (pow x 2)) (* (pow eps 2) (pow x 2)))) (pow x 2)))>
#<alt (* (pow eps 6) (pow x 2))>
#<alt (* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))>
#<alt (* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))>
#<alt (* (pow eps 6) (pow x 2))>
#<alt (* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))>
#<alt (* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))>
#<alt (* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
Calls

108 calls:

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

rewrite323.0ms (2.2%)

Memory
-21.9MiB live, 754.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 532×lower-fma.f32
5 526×lower-fma.f64
4 410×lower-/.f32
4 404×lower-/.f64
4 220×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033216
064203
1224177
21632167
08229165
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 690
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (fma.f64 x (neg.f64 eps) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 x (*.f64 eps eps))
(*.f64 eps eps)
(/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (*.f64 eps (*.f64 eps eps)))
(/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x))))
(-.f64 (*.f64 eps (*.f64 x eps)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(exp.f64 (*.f64 x (neg.f64 eps)))
(*.f64 eps (*.f64 eps eps))
(*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))
(*.f64 eps (*.f64 x eps))
Outputs
(exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps)))))))
(/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) (exp.f64 x))
(/.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps))))) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (-.f64 x (*.f64 x eps))) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) (*.f64 (+.f64 (neg.f64 eps) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (neg.f64 (+.f64 (neg.f64 eps) #s(literal 1 binary64))))
(pow.f64 (exp.f64 (fma.f64 (+.f64 (neg.f64 eps) #s(literal 1 binary64)) x (-.f64 x (*.f64 x eps)))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x (*.f64 x eps)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))))
(*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))))
(*.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(*.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) (pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)) (*.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 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.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 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (-.f64 x (*.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 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)) #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 (exp.f64 (neg.f64 (-.f64 x (*.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 (-.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))) (-.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (exp.f64 (fma.f64 x (neg.f64 eps) (neg.f64 (-.f64 x (*.f64 x eps)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (exp.f64 (*.f64 x (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (exp.f64 (fma.f64 x (neg.f64 eps) (neg.f64 (-.f64 x (*.f64 x eps)))))) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (exp.f64 (*.f64 x (neg.f64 eps)))) (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 x (*.f64 x eps)) #s(literal -2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (exp.f64 (*.f64 x (neg.f64 eps))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x)))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (neg.f64 eps))) (fma.f64 x (*.f64 eps eps) (neg.f64 x))))
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(*.f64 (neg.f64 eps) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 (neg.f64 eps) (fma.f64 x (*.f64 eps eps) (neg.f64 x)))))
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(*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x)))))
(*.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x)))) eps)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (neg.f64 eps))) (fma.f64 x (*.f64 eps eps) (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 eps)) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (fma.f64 x (*.f64 eps eps) (neg.f64 x))) (*.f64 eps eps))
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(-.f64 (/.f64 #s(literal 0 binary64) eps) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (neg.f64 eps)))
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simplify555.0ms (3.8%)

Memory
12.4MiB live, 1 121.8MiB allocated
Algorithm
1×egg-herbie
Rules
22 458×lower-fma.f64
22 458×lower-fma.f32
6 140×lower-+.f64
6 140×lower-+.f32
5 204×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02863983
19213768
229883577
084293419
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* x (+ 1 (* -1 eps)))))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3)))))) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))
(/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))
(/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))
(/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))
(/ 1 (exp x))
(+ (/ 1 (exp x)) (/ (* eps x) (exp x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
(/ 1 (exp (+ x (* -1 (* eps x)))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/2 (* x (- (* 1/2 (pow eps 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2)))))) 1/2)))
(+ 1 (* x (- (* x (+ (* 1/2 (* x (- (* -1/6 (pow eps 3)) (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3))))))) (* 1/2 (- (* 1/2 (pow eps 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))))) 1/2)))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x))))))
(* 1/2 (+ 1 (/ 1 (exp x))))
(+ (* 1/2 (* eps (- (* -1 x) (* -1 (/ x (exp x)))))) (* 1/2 (+ 1 (/ 1 (exp x)))))
(+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- (* -1 x) (* -1 (/ x (exp x))))))))
(+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (- (* -1 x) (* -1 (/ x (exp x))))) (* eps (+ (* 1/2 (* eps (- (* -1/6 (pow x 3)) (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x)))))))
2
(+ 2 (* -1 x))
(+ 2 (* x (- (* x (- (* 1/2 (pow eps 2)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) 1)))
(+ 2 (* x (- (* x (- (+ (* 1/2 (pow eps 2)) (* x (- (* -1/6 (pow eps 3)) (+ (* -1 (* (+ 1 (* -1 eps)) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ (* -1/2 (pow (+ 1 (* -1 eps)) 3)) (* 1/6 (pow (+ 1 (* -1 eps)) 3))))))) (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) 1)))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (- (* -1 (* eps x)) (* -1 x)))))
(+ 1 (/ 1 (exp x)))
(+ 1 (+ (* eps (- (* -1 x) (* -1 (/ x (exp x))))) (/ 1 (exp x))))
(+ 1 (+ (* eps (- (+ (* -1 x) (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))))
(+ 1 (+ (* eps (- (+ (* -1 x) (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (* -1/6 (pow x 3)) (+ (* -1/6 (/ (pow x 3) (exp x))) (+ (* 1/2 (/ (pow x 3) (exp x))) (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* -1 (/ x (exp x))))) (/ 1 (exp x))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
(+ (exp (* -1 (* eps x))) (/ 1 (exp (+ x (* -1 (* eps x))))))
1
(+ 1 (* x (+ 1 (* -1 eps))))
(+ 1 (* x (+ 1 (+ (* -1 eps) (* 1/2 (* x (pow (+ 1 (* -1 eps)) 2)))))))
(+ 1 (* x (+ 1 (+ (* -1 eps) (* x (+ (* 1/6 (* x (pow (+ 1 (* -1 eps)) 3))) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (- (* -1 (* eps x)) (* -1 x)))
(exp (- (* -1 (* eps x)) (* -1 x)))
(exp (- (* -1 (* eps x)) (* -1 x)))
(exp (- (* -1 (* eps x)) (* -1 x)))
(exp x)
(+ (exp x) (* -1 (* eps (* x (exp x)))))
(+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* 1/2 (* eps (* (pow x 2) (exp x)))))))
(+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
(exp (+ x (* -1 (* eps x))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* 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) (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) (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) (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) (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) (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)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(pow 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) 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
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* (pow eps 3) x)
(* -1 x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(- (* (pow eps 2) x) x)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* x (- (pow eps 2) 1))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
(* -1 (* x (+ 1 (* -1 (pow eps 2)))))
1
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(* 1/2 (* (pow x 2) (- (pow eps 2) 1)))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
1
(+ 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)))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -2 (* (pow eps 2) (pow x 2))) (pow x 2)))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* -2 (pow x 2)) (* (pow eps 2) (pow x 2)))) (pow x 2)))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* -2 (pow x 2)) (* (pow eps 2) (pow x 2)))) (pow x 2)))
(* (pow eps 6) (pow x 2))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))
(* (pow eps 6) (pow x 2))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))
(* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))
(* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))
(* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))
(* (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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 1 (* -1 eps)))))
(fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ 1 (* -1 eps)) 2)) (* 1/2 (pow (+ 1 (* -1 eps)) 2))))) (+ 1 (* -1 eps)))))
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(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))
(fma.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #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 eps (*.f64 eps #s(literal 1/2 binary64)) #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 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow x 2) (- (pow eps 2) 1)))
(*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #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 eps (*.f64 eps #s(literal 1/2 binary64)) #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 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* -1/2 (* (pow x 2) (+ 1 (* -1 (pow eps 2)))))
(*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/2 (+ 1 (* -1 (pow eps 2)))) (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(fma.f64 eps (neg.f64 x) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x #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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.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)))
(fma.f64 eps (neg.f64 x) #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x #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 (-.f64 (*.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 (* -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)))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(* (pow eps 2) (pow x 2))
(*.f64 eps (*.f64 x (*.f64 x eps)))
(* (pow eps 2) (+ (* -2 (* (pow eps 2) (pow x 2))) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 (*.f64 (*.f64 eps eps) #s(literal -2 binary64)) x x)))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* -2 (pow x 2)) (* (pow eps 2) (pow x 2)))) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 eps eps #s(literal -2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* -2 (pow x 2)) (* (pow eps 2) (pow x 2)))) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 eps eps #s(literal -2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))))
(* (pow eps 6) (pow x 2))
(*.f64 x (*.f64 x (pow.f64 eps #s(literal 6 binary64))))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 x (+.f64 x (/.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 eps eps))))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 x (+.f64 x (/.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 eps eps))))
(* (pow eps 6) (pow x 2))
(*.f64 x (*.f64 x (pow.f64 eps #s(literal 6 binary64))))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps)))))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 x (+.f64 x (/.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 eps eps))))
(* (pow eps 6) (+ (* -2 (/ (pow x 2) (pow eps 2))) (+ (/ (pow x 2) (pow eps 4)) (pow x 2))))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 x (+.f64 x (/.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 eps eps))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))
(* (pow eps 2) (* (pow x 2) (pow (- (pow eps 2) 1) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))
(* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
(* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
(* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
(* (pow eps 2) (* (pow x 2) (pow (+ 1 (* -1 (pow eps 2))) 2)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 eps eps)))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))

eval429.0ms (2.9%)

Memory
-6.3MiB live, 378.0MiB allocated
Compiler

Compiled 45 012 to 3 544 computations (92.1% saved)

prune165.0ms (1.1%)

Memory
30.7MiB live, 347.3MiB allocated
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New1 424111 435
Fresh81220
Picked235
Done033
Total1 434291 463
Accuracy
100.0%
Counts
1 463 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(fma.f64 (/.f64 x (*.f64 eps (/.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))))))) #s(literal 1/2 binary64) #s(literal 1 binary64))
79.9%
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
44.2%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
53.5%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
16.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
54.2%
(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))
59.8%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
44.1%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
49.4%
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 x eps) #s(literal -1 binary64)))
71.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x)) (/.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))
51.5%
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
40.7%
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
✓44.4%
(-.f64 #s(literal 1 binary64) x)
45.2%
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
14.0%
(*.f64 x (exp.f64 (neg.f64 x)))
65.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (neg.f64 eps)))))
65.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (fma.f64 eps (-.f64 (*.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))))
✓92.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))
87.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
44.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
53.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
35.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
✓56.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
40.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
✓47.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
44.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
3.0%
(neg.f64 x)
✓44.8%
#s(literal 1 binary64)
✓13.8%
#s(literal 0 binary64)
Compiler

Compiled 1 627 to 569 computations (65% saved)

regimes65.0ms (0.4%)

Memory
-33.9MiB live, 146.2MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))))) #s(literal 0 binary64)) eps)
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 eps (/.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))))))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) eps) (*.f64 x (*.f64 eps (*.f64 x eps))))))) eps) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 #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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (-.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 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (fma.f64 eps (-.f64 (*.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))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x (neg.f64 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

16.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
15.0ms
eps
15.0ms
x
14.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
98.8%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
98.8%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)

regimes66.0ms (0.5%)

Memory
-5.3MiB live, 78.3MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))))) #s(literal 0 binary64)) eps)
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 eps (/.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))))))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) eps) (*.f64 x (*.f64 eps (*.f64 x eps))))))) eps) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 #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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (-.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 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (fma.f64 eps (-.f64 (*.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))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (neg.f64 eps)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

26.0ms
eps
14.0ms
x
12.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
98.8%1x
98.8%1eps
98.8%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
98.8%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)

regimes61.0ms (0.4%)

Memory
-4.9MiB live, 72.4MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))))) #s(literal 0 binary64)) eps)
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 eps (/.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))))))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) eps) (*.f64 x (*.f64 eps (*.f64 x eps))))))) eps) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 #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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (-.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 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (fma.f64 eps (-.f64 (*.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))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

19.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
15.0ms
x
14.0ms
eps
11.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
94.3%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)

regimes39.0ms (0.3%)

Memory
14.3MiB live, 55.0MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))))) #s(literal 0 binary64)) eps)
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 eps (/.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))))))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) eps) (*.f64 x (*.f64 eps (*.f64 x eps))))))) eps) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 #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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (-.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 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (fma.f64 eps (-.f64 (*.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))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
Calls

3 calls:

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))
10.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
96.3%2eps
96.7%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))
96.7%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)

regimes35.0ms (0.2%)

Memory
-21.0MiB live, 54.7MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))))) #s(literal 0 binary64)) eps)
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 eps (/.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))))))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) eps) (*.f64 x (*.f64 eps (*.f64 x eps))))))) eps) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 #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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
Calls

3 calls:

11.0ms
eps
10.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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))
Results
AccuracySegmentsBranch
95.1%2eps
95.5%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))
95.5%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)

regimes39.0ms (0.3%)

Memory
39.0MiB live, 78.0MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 x eps)))))) eps) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x))))) #s(literal 0 binary64)) eps)
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 eps)) eps)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 x eps) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 eps (/.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 eps eps) (neg.f64 x)) (*.f64 eps (fma.f64 x (*.f64 eps eps) (neg.f64 x))))))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps eps #s(literal -1 binary64)))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 (*.f64 eps (*.f64 (-.f64 (*.f64 eps (*.f64 x eps)) x) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x))))) (*.f64 eps (*.f64 (neg.f64 eps) (-.f64 (*.f64 eps (*.f64 x eps)) x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) eps) (*.f64 x (*.f64 eps (*.f64 x eps))))))) eps) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
Outputs
(fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
Calls

4 calls:

11.0ms
eps
10.0ms
x
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)))))
8.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.0%2x
84.2%1eps
84.2%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))
84.2%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)

regimes10.0ms (0.1%)

Memory
-27.0MiB live, 16.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
89.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
86.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
-8.1MiB live, 31.1MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) eps) eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
Outputs
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

4 calls:

4.0ms
x
4.0ms
eps
4.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
77.8%2eps
81.9%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
81.9%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
77.1%3x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes14.0ms (0.1%)

Memory
-13.7MiB live, 25.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 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))
#s(literal 0 binary64)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

4 calls:

4.0ms
x
3.0ms
eps
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
68.7%3x
59.8%1eps
59.8%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))
59.8%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)

regimes4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
67.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
66.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-20.7MiB live, 19.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) x)
#s(literal 0 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
44.8%1eps
44.8%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))
44.8%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)))))
56.0%2x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
55.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
12.2MiB live, 12.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

4 calls:

1.0ms
x
1.0ms
eps
1.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
13.8%1eps
13.8%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))
13.8%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)))))
13.8%1x
Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.000000000000518
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.000000000000518
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch25.0ms (0.2%)

Memory
-21.6MiB live, 30.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
5.281870075211633e-5
9.751782910987184e-5
Samples
11.0ms36×1valid
3.0ms28×0valid
Compiler

Compiled 182 to 116 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 4.0ms (33% of total)
ival-mult: 2.0ms (16.5% of total)
ival-sub: 1.0ms (8.3% of total)
adjust: 1.0ms (8.3% of total)
ival-div: 1.0ms (8.3% of total)
ival-neg: 1.0ms (8.3% of total)
ival-add: 1.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
5.281870075211633e-5
9.751782910987184e-5
Compiler

Compiled 150 to 100 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
5.281870075211633e-5
9.751782910987184e-5
Compiler

Compiled 134 to 92 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.100795899584721
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch52.0ms (0.4%)

Memory
-7.2MiB live, 70.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
9.285536530580878e+94
1.0534418862219359e+96
32.0ms
9.751782910987184e-5
97509.48850961098
Samples
20.0ms190×0valid
15.0ms50×1valid
Compiler

Compiled 283 to 228 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-exp: 7.0ms (24.5% of total)
ival-mult: 6.0ms (21% of total)
ival-sub: 4.0ms (14% of total)
ival-div: 4.0ms (14% of total)
ival-add: 3.0ms (10.5% of total)
adjust: 2.0ms (7% of total)
ival-neg: 2.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory
6.2MiB live, 44.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.285536530580878e+94
1.0534418862219359e+96
30.0ms
9.751782910987184e-5
97509.48850961098
Samples
10.0ms91×0valid
9.0ms11×2valid
7.0ms26×1valid
Compiler

Compiled 256 to 210 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
adjust: 5.0ms (23.4% of total)
ival-exp: 5.0ms (23.4% of total)
ival-mult: 4.0ms (18.7% of total)
ival-div: 3.0ms (14% of total)
ival-sub: 2.0ms (9.4% of total)
ival-add: 2.0ms (9.4% of total)
ival-neg: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
9.0ms
4.931695988944464e+154
9.632159636305836e+155
1.0ms
9.751782910987184e-5
97509.48850961098
Samples
6.0ms64×0valid
Compiler

Compiled 216 to 180 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (20.2% of total)
ival-exp: 1.0ms (20.2% of total)
ival-add: 1.0ms (20.2% of total)
ival-mult: 1.0ms (20.2% of total)
ival-sub: 1.0ms (20.2% of total)
ival-neg: 1.0ms (20.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
9.751782910987184e-5
97509.48850961098
Samples
4.0ms15×1valid
3.0ms33×0valid
Compiler

Compiled 124 to 105 computations (15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (31.1% of total)
ival-add: 1.0ms (15.6% of total)
ival-sub: 1.0ms (15.6% of total)
ival-div: 1.0ms (15.6% of total)
adjust: 1.0ms (15.6% of total)
ival-mult: 1.0ms (15.6% of total)
ival-neg: 1.0ms (15.6% 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
1.1MiB live, 1.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.751782910987184e-5
97509.48850961098
Compiler

Compiled 106 to 96 computations (9.4% saved)

simplify56.0ms (0.4%)

Memory
-33.2MiB live, 47.6MiB allocated
Algorithm
1×egg-herbie
Rules
274×distribute-lft-neg-in_binary64
148×neg-mul-1_binary64
138×neg-sub0_binary64
104×distribute-rgt-neg-in_binary64
102×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0102420
1159420
2201412
3260412
4310412
5422412
6536412
7650412
8751412
9827412
10868412
11886412
12889412
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3504881374004815/36893488147419103232 binary64)) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps))
(if (<=.f64 x #s(literal 3504881374004815/36893488147419103232 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps))
(if (<=.f64 x #s(literal 3504881374004815/36893488147419103232 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 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)) (if (<=.f64 x #s(literal 1050000000000000058283291639454926873547616342155206141241060792023384697874499407358834203688960 binary64)) #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 520 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1050000000000000058283291639454926873547616342155206141241060792023384697874499407358834203688960 binary64)) #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 520 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 520 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 0 binary64)) (*.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.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 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3504881374004815/36893488147419103232 binary64)) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps))
(if (<=.f64 x #s(literal 3504881374004815/36893488147419103232 binary64)) (fma.f64 (*.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x eps)) x)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) eps))
(if (<=.f64 x #s(literal 3504881374004815/36893488147419103232 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 1/2 binary64))) eps))
(if (<=.f64 x #s(literal 3504881374004815/36893488147419103232 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) eps))
(if (<=.f64 x #s(literal 3504881374004815/36893488147419103232 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 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)) (if (<=.f64 x #s(literal 1050000000000000058283291639454926873547616342155206141241060792023384697874499407358834203688960 binary64)) #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 520 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1050000000000000058283291639454926873547616342155206141241060792023384697874499407358834203688960 binary64)) #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 520 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 520 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.5s (10.4%)

Memory
53.9MiB live, 1 266.8MiB allocated
Rules
23 816×lower-fma.f64
23 816×lower-fma.f32
13 496×lower-fma.f64
13 496×lower-fma.f32
10 668×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02692952
18682574
229922247
082642101
032177
059153
1250146
22118142
09279141
03583800
112003485
238463120
086022973
010059288
135678188
090117797
046364
091356
1418351
24251351
08587344
033216
064203
1224177
21632167
08229165
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 671 to 303 computations (54.8% saved)

preprocess335.0ms (2.3%)

Memory
2.2MiB live, 157.0MiB allocated
Remove

(abs eps)

Compiler

Compiled 998 to 294 computations (70.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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