NMSE Section 6.1 mentioned, A

Time bar (total: 16.3s)

analyze29.0ms (0.2%)

Memory
4.2MiB live, 41.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.8s (17.2%)

Memory
-53.8MiB live, 3 336.5MiB allocated
Samples
1.3s5 994×0valid
910.0ms2 262×1valid
131.0ms955×0exit
7.0ms21×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-exp: 530.0ms (30.9% of total)
ival-mult: 350.0ms (20.4% of total)
ival-div: 219.0ms (12.8% of total)
ival-add: 168.0ms (9.8% of total)
ival-sub: 157.0ms (9.2% of total)
ival-neg: 150.0ms (8.8% of total)
adjust: 116.0ms (6.8% of total)
exact: 12.0ms (0.7% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess427.0ms (2.6%)

Memory
-8.5MiB live, 473.8MiB allocated
Algorithm
egg-herbie
Rules
11 102×lower-fma.f64
11 102×lower-fma.f32
2 706×lower-*.f32
2 698×lower-*.f64
1 598×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

explain388.0ms (2.4%)

Memory
-18.9MiB live, 559.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
773(2.3600796174637228e-91 2.8549706853774514e-9)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)))))cancellation800
Confusion
Predicted +Predicted -
+770
-3176
Precision
0.9625
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7700
-30176
Precision?
0.9625
Recall?
1.0
Freqs
test
numberfreq
0176
180
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms156×1valid
67.0ms356×0valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-div: 32.0ms (34.9% of total)
ival-exp: 19.0ms (20.7% of total)
ival-mult: 14.0ms (15.3% of total)
ival-sub: 9.0ms (9.8% of total)
adjust: 6.0ms (6.5% of total)
ival-add: 6.0ms (6.5% of total)
ival-neg: 5.0ms (5.4% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify315.0ms (1.9%)

Memory
-11.5MiB live, 469.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize78.0ms (0.5%)

Memory
29.3MiB live, 145.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy100.0%
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy100.0%
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy70.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.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
27.0ms178×0valid
26.0ms78×1valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-exp: 9.0ms (25.2% of total)
ival-mult: 7.0ms (19.6% of total)
ival-div: 6.0ms (16.8% of total)
ival-sub: 4.0ms (11.2% of total)
adjust: 3.0ms (8.4% of total)
ival-neg: 3.0ms (8.4% of total)
ival-add: 3.0ms (8.4% 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
-17.7MiB live, 21.3MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<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 (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))>
#<alt (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) x)>
Outputs
#<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 (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt x>
#<alt (+ x (* 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))>
Calls

24 calls:

TimeVariablePointExpression
22.0ms
eps
@0
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
1.0ms
eps
@-inf
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
1.0ms
x
@0
(* (+ 1 eps) x)
1.0ms
x
@inf
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
1.0ms
x
@0
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))

rewrite421.0ms (2.6%)

Memory
13.7MiB live, 642.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 886×lower-fma.f64
6 886×lower-fma.f32
4 288×lower-*.f32
4 280×lower-*.f64
3 430×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
03146
111644
284442
0893939
Stop Event
iter limit
node limit
iter limit
Counts
4 → 333
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
Outputs
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.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 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (neg.f64 (fma.f64 eps x x)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))))))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (neg.f64 (fma.f64 eps x x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))))
(+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (neg.f64 (fma.f64 eps x x)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (neg.f64 (fma.f64 eps x x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 0 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(-.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 (neg.f64 (fma.f64 eps x x))) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) #s(literal -1 binary64)))
(-.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (neg.f64 (fma.f64 eps x x))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
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(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))

simplify442.0ms (2.7%)

Memory
-9.3MiB live, 633.3MiB allocated
Algorithm
egg-herbie
Rules
14 440×lower-fma.f64
14 440×lower-fma.f32
4 932×lower-+.f64
4 932×lower-+.f32
4 576×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02351551
17481379
224671278
084891197
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
x
(+ x (* eps x))
(+ x (* eps x))
(+ x (* eps x))
(* eps x)
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
Outputs
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(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 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))))
(- (+ (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))))))
(fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(- (+ (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))))))
(fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(- (+ (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)))))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (+ (exp (neg (* x (+ 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)))))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (+ (exp (neg (* x (+ 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)))))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
2
#s(literal 2 binary64)
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ 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))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(+ 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))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (neg.f64 (+.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 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (neg.f64 (+.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 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (neg.f64 (+.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 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (neg.f64 (+.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 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (neg.f64 (+.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 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (neg.f64 (+.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 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (neg.f64 (+.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 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) x)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(fma.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(exp (- (* eps x) x))
(exp.f64 (-.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))
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(exp.f64 (-.f64 (*.f64 x eps) x))
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(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(*.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))))))
(exp (neg (* x (+ 1 eps))))
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(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
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(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 1 eps))))
(-.f64 #s(literal 1 binary64) (fma.f64 x eps x))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
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(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
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)

simplify115.0ms (0.7%)

Memory
5.0MiB live, 198.4MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090815814
190915814
090915814
Stop Event
saturated
saturated
Counts
333 → 0
Calls
Call 1
Inputs
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(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
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(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
Outputs
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.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 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (neg.f64 (fma.f64 eps x x)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))))))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (neg.f64 (fma.f64 eps x x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))))
(+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (neg.f64 (fma.f64 eps x x)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (neg.f64 (fma.f64 eps x x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 0 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(-.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 (neg.f64 (fma.f64 eps x x))) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) #s(literal -1 binary64)))
(-.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (neg.f64 (fma.f64 eps x x))))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
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(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) eps) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) eps) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)))) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 x (neg.f64 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) eps) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
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eval38.0ms (0.2%)

Memory
6.6MiB live, 47.6MiB allocated
Compiler

Compiled 5 796 to 231 computations (96% saved)

prune14.0ms (0.1%)

Memory
0.6MiB live, 39.6MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New17911190
Fresh000
Picked101
Done000
Total18011191
Accuracy
99.9%
Counts
191 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
44.2%
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
74.6%
(/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
70.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.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))
29.7%
(/.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)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
50.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
36.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
33.9%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
98.2%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
59.2%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
44.2%
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
Compiler

Compiled 620 to 350 computations (43.5% saved)

simplify473.0ms (2.9%)

Memory
-8.4MiB live, 712.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff128
(fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff128
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
cost-diff64
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff128
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff320
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
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-diff384
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff704
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 x eps) x)
cost-diff0
(exp.f64 (-.f64 (*.f64 x eps) x))
cost-diff0
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
cost-diff0
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
Rules
20 010×lower-fma.f32
20 004×lower-fma.f64
3 340×lower-+.f32
3 328×lower-+.f64
3 280×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045386
086375
1192366
2529364
31931364
46183364
08336349
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 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)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
x
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 eps #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x 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)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (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)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(-.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 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(neg.f64 (fma.f64 x eps x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
x
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 x eps x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (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 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 x eps x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 x (*.f64 x eps))
(-.f64 #s(literal 1 binary64) eps)
x
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 x eps x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) (fma.f64 (fma.f64 x eps x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (fma.f64 x eps x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+.f64 eps #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)

localize372.0ms (2.3%)

Memory
13.3MiB live, 300.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy95.9%
(fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy72.2%
(-.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)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy100.0%
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy72.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy99.6%
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy100.0%
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
accuracy100.0%
(neg.f64 (fma.f64 x eps x))
accuracy100.0%
(-.f64 (*.f64 x eps) x)
accuracy100.0%
(exp.f64 (neg.f64 (fma.f64 x eps x)))
accuracy100.0%
(exp.f64 (-.f64 (*.f64 x eps) x))
Samples
73.0ms183×0valid
72.0ms73×1valid
Compiler

Compiled 405 to 49 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 38.0ms (40.6% of total)
ival-exp: 14.0ms (15% of total)
ival-add: 12.0ms (12.8% of total)
ival-div: 11.0ms (11.8% of total)
ival-sub: 7.0ms (7.5% of total)
adjust: 7.0ms (7.5% of total)
ival-neg: 4.0ms (4.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
8.8MiB live, 46.3MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#<alt (exp.f64 (-.f64 (*.f64 x eps) x))>
#<alt (exp.f64 (neg.f64 (fma.f64 x eps x)))>
#<alt (-.f64 (*.f64 x eps) x)>
#<alt (neg.f64 (fma.f64 x eps x))>
#<alt (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))>
#<alt (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))>
#<alt (+.f64 (+.f64 x #s(literal 2 binary64)) x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))>
#<alt (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) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))>
#<alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))>
#<alt (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))>
#<alt (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))>
Outputs
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (- (* -1 x) (* eps x)))>
#<alt (exp (- (* -1 x) (* eps x)))>
#<alt (exp (- (* -1 x) (* eps x)))>
#<alt (exp (- (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 (* x (- 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (- (* -1 (* eps x)) x)>
#<alt (* -1 (* eps x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* eps (- (* -1 (/ x eps)) x))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt (* -1 (* eps (- (/ x eps) (* -1 x))))>
#<alt 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 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt 1>
#<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 (exp (neg x))) eps)>
#<alt (/ (- (+ 1 (* eps (- 1 (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (exp (neg x))) eps)>
#<alt (/ (- (+ 1 (* eps (- (+ 1 (* -1 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (exp (neg x))) eps)>
#<alt (/ (- (+ 1 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (exp (neg x))) eps)>
#<alt (- 1 (* -1 (exp (neg (* x (+ 1 eps))))))>
#<alt (- (+ 1 (/ 1 eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ 1 (/ 1 eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ 1 (/ 1 eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- 1 (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ 1 (+ (* -1 (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) (/ 1 eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ 1 (+ (* -1 (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) (/ 1 eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ 1 (+ (* -1 (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)) (/ 1 eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt 2>
#<alt (+ 2 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))>
#<alt (+ 2 (* x (- (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 2 (* x (- (* x (- (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (/ (- (exp (neg x)) (+ 1 (* x (- (* 1/2 x) 1)))) eps)>
#<alt (/ (- (+ (exp (neg x)) (* eps (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (* x (- x 1)))))) (+ 1 (* x (- (* 1/2 x) 1)))) eps)>
#<alt (/ (- (+ (exp (neg x)) (* eps (- (+ (exp (neg x)) (+ (* eps (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* -1 (* x (- x 1))) (* 1/2 (pow x 2))))) (* x (exp (neg x))))) (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (* x (- x 1)))))) (+ 1 (* x (- (* 1/2 x) 1)))) 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))))) (* -1/2 (pow x 2)))) (* x (exp (neg x))))) (+ (* -1 (* x (- x 1))) (* 1/2 (pow x 2))))) (* x (exp (neg x))))) (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (* x (- x 1)))))) (+ 1 (* x (- (* 1/2 x) 1)))) eps)>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (- (* -1 (/ (+ (* -1 (* x (- x 1))) (* 1/2 (pow x 2))) eps)) (* -1/2 (pow x 2))))>
#<alt (* (pow eps 2) (- (/ (exp (neg (* x (- 1 eps)))) (pow eps 2)) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (/ (* x (- x 1)) (pow eps 2))))))))>
#<alt (* (pow eps 2) (- (+ (/ (exp (neg (* x (- 1 eps)))) (pow eps 2)) (/ (exp (neg (* x (- 1 eps)))) (pow eps 3))) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (- x 1)) (pow eps 2)) (/ (* x (- (* 1/2 x) 1)) (pow eps 3))))))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x))) eps)) (* -1/2 (/ (pow x 2) eps))) (* -1/2 (pow x 2))))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (exp (neg (* x (+ 1 (* -1 eps))))) (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1 (+ 1 (* x (- (* 1/2 x) 1)))))) eps)) (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1/2 (pow x 2)))) eps)) (* -1/2 (pow x 2))))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (+ 1 (* x (- (* 1/2 x) 1))))) eps))) (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1 (+ 1 (* x (- (* 1/2 x) 1)))))) eps)) (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1/2 (pow x 2)))) eps)) (* -1/2 (pow x 2))))>
#<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 (- (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 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 (* -1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* (pow x 2) (- (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (pow x 2))) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2)))))))>
#<alt (* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (pow x 2))) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2)))))))>
#<alt (* -1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* (pow x 2) (- (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps)) x)) (* (+ 1 eps) (- (/ 1 eps) 1))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps)) x)) (* (+ 1 eps) (- (/ 1 eps) 1))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<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)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (+ (* 1/2 (pow (+ 1 eps) 2)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (+ (* 1/2 (pow (+ 1 eps) 2)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ 1 eps) (/ 1 x)) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ 1 eps) (/ 1 x)) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (+ (* eps (* x (- x 1))) (* x (- (* 1/2 x) 1))))>
#<alt (+ 1 (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1))))>
#<alt (+ 1 (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)) (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)) (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) eps)) (* 1/2 (pow x 2))))>
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- x 1))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (/ x eps)) (/ 1 eps)))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/2 x)))>
#<alt (* -1 (+ 1 eps))>
#<alt (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))>
#<alt (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))>
#<alt (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))>
#<alt (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)>
#<alt (/ (+ 1 (+ (* eps (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))) eps)>
#<alt (/ (+ 1 (+ (* eps (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (+ (* eps (+ (* -1 (* x (- x 1))) (* 1/2 (pow x 2)))) (* x (- x 1))))) (* x (- (* 1/2 x) 1)))) eps)>
#<alt (/ (+ 1 (+ (* eps (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (+ (* eps (+ (* -1 (* x (- x 1))) (+ (* -1/2 (* eps (pow x 2))) (* 1/2 (pow x 2))))) (* x (- x 1))))) (* x (- (* 1/2 x) 1)))) eps)>
#<alt (* -1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) eps)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (/ (* x (- x 1)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (- x 1)) (pow eps 2)) (/ (* x (- (* 1/2 x) 1)) (pow eps 3)))))))))>
#<alt (* -1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1/2 (pow x 2))) eps)) (* -1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1 (+ 1 (* x (- (* 1/2 x) 1))))) eps)) (* -1/2 (pow x 2)))) eps)) (* -1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (+ (/ 1 eps) (/ (* x (- (* 1/2 x) 1)) eps)))) eps)) (* -1/2 (pow x 2)))) eps)) (* -1/2 (pow x 2))))>
#<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))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
Calls

84 calls:

TimeVariablePointExpression
19.0ms
x
@0
(+ (+ x 2) x)
3.0ms
x
@inf
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (+ (* x (* (+ eps 1) (+ (* (* x 1/2) (+ eps 1)) -1))) 1)))
1.0ms
x
@-inf
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (+ (* x (* (+ eps 1) (+ (* (* x 1/2) (+ eps 1)) -1))) 1)))
1.0ms
eps
@0
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (+ (* x (* (+ eps 1) (+ (* (* x 1/2) (+ eps 1)) -1))) 1)))
1.0ms
eps
@-inf
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (+ (* x (* (+ eps 1) (+ (* (* x 1/2) (+ eps 1)) -1))) 1)))

rewrite687.0ms (4.2%)

Memory
4.5MiB live, 323.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 982×lower-*.f32
4 962×lower-*.f64
4 360×lower-/.f32
4 358×lower-/.f64
2 314×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040171
076168
1306161
22620161
08908150
Stop Event
iter limit
node limit
iter limit
Counts
17 → 861
Calls
Call 1
Inputs
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(-.f64 (*.f64 x eps) x)
(neg.f64 (fma.f64 x eps x))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(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) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
Outputs
(exp.f64 (-.f64 (*.f64 x eps) x))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 x eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.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 (exp.f64 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (fma.f64 x (*.f64 eps (*.f64 x eps)) (*.f64 x (fma.f64 x eps x))))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 eps (*.f64 x eps)) (*.f64 x (fma.f64 x eps x))))))
(/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 eps (*.f64 x eps))) (fma.f64 x eps x))) (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x eps x))))
(/.f64 (exp.f64 (fma.f64 x eps #s(literal 0 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 x eps)))) (neg.f64 (neg.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 x (*.f64 x eps))) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 eps) (exp.f64 #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps (*.f64 x eps)) (*.f64 x (fma.f64 x eps x)))))
(pow.f64 (exp.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)))) (-.f64 (*.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)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (fma.f64 x eps x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64)))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (neg.f64 eps)))) x))
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 1 binary64)))
(/.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 (/.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 eps (*.f64 x eps))) (-.f64 (*.f64 x eps) x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x eps) x))))
(/.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 x))
(/.f64 (exp.f64 (fma.f64 x (neg.f64 eps) #s(literal 0 binary64))) (exp.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (neg.f64 eps)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (neg.f64 eps))) x)
(pow.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))

simplify1.8s (10.8%)

Memory
-15.8MiB live, 186.2MiB allocated
Algorithm
egg-herbie
Rules
13 070×lower-fma.f64
13 070×lower-fma.f32
5 614×lower-*.f64
5 614×lower-*.f32
3 964×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05785022
119034792
261234734
087124381
Stop Event
iter limit
node limit
Counts
336 → 335
Calls
Call 1
Inputs
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
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2
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1
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(* -1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) eps)))))
(* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (/ (* x (- x 1)) (pow eps 2)))))))
(* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (- x 1)) (pow eps 2)) (/ (* x (- (* 1/2 x) 1)) (pow eps 3)))))))))
(* -1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1/2 (pow x 2))) eps)) (* -1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1 (+ 1 (* x (- (* 1/2 x) 1))))) eps)) (* -1/2 (pow x 2)))) eps)) (* -1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (+ (/ 1 eps) (/ (* x (- (* 1/2 x) 1)) eps)))) eps)) (* -1/2 (pow x 2)))) eps)) (* -1/2 (pow x 2))))
(- (/ 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))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* (pow x 2) (- (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))) (/ 1 (pow x 2))))
(* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
Outputs
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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 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 (fma.f64 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 x eps) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps #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 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x eps))) (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (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 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 1/6 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 eps eps) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (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))
(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))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 1 eps))))
(-.f64 #s(literal 1 binary64) (fma.f64 x eps x))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (- (* -1 x) (* eps x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (- (* -1 x) (* eps x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (- (* -1 x) (* eps x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (- (* -1 x) (* eps x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(fma.f64 (exp.f64 (neg.f64 x)) (*.f64 x (neg.f64 eps)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(fma.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(fma.f64 eps (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- eps 1))
(-.f64 (*.f64 x eps) x)
(* x (- eps 1))
(-.f64 (*.f64 x eps) x)
(* x (- eps 1))
(-.f64 (*.f64 x eps) x)
(* x (- eps 1))
(-.f64 (*.f64 x eps) x)
(* x (- eps 1))
(-.f64 (*.f64 x eps) x)
(* x (- eps 1))
(-.f64 (*.f64 x eps) x)
(* x (- eps 1))
(-.f64 (*.f64 x eps) x)
(* x (- eps 1))
(-.f64 (*.f64 x eps) x)
(* -1 (* x (+ 1 (* -1 eps))))
(-.f64 (*.f64 x eps) x)
(* -1 (* x (+ 1 (* -1 eps))))
(-.f64 (*.f64 x eps) x)
(* -1 (* x (+ 1 (* -1 eps))))
(-.f64 (*.f64 x eps) x)
(* -1 (* x (+ 1 (* -1 eps))))
(-.f64 (*.f64 x eps) x)
(* -1 x)
(neg.f64 x)
(- (* eps x) x)
(-.f64 (*.f64 x eps) x)
(- (* eps x) x)
(-.f64 (*.f64 x eps) x)
(- (* eps x) x)
(-.f64 (*.f64 x eps) x)
(* eps x)
(*.f64 x eps)
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (- 1 (* -1 eps))))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (- 1 (* -1 eps))))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (- 1 (* -1 eps))))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (- 1 (* -1 eps))))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 x)
(neg.f64 x)
(- (* -1 (* eps x)) x)
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- (* -1 (* eps x)) x)
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- (* -1 (* eps x)) x)
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* eps x))
(*.f64 x (neg.f64 eps))
(* eps (- (* -1 (/ x eps)) x))
(*.f64 eps (-.f64 (/.f64 x (neg.f64 eps)) x))
(* eps (- (* -1 (/ x eps)) x))
(*.f64 eps (-.f64 (/.f64 x (neg.f64 eps)) x))
(* eps (- (* -1 (/ x eps)) x))
(*.f64 eps (-.f64 (/.f64 x (neg.f64 eps)) x))
(* -1 (* eps x))
(*.f64 x (neg.f64 eps))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(*.f64 eps (-.f64 (/.f64 x (neg.f64 eps)) x))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(*.f64 eps (-.f64 (/.f64 x (neg.f64 eps)) x))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(*.f64 eps (-.f64 (/.f64 x (neg.f64 eps)) x))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(* 2 (* x (exp (neg x))))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(* 2 (* x (exp (* -1 x))))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (- 1 (exp (neg x))) eps)
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) eps)
(/ (- (+ 1 (* eps (- 1 (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (exp (neg x))) eps)
(/.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) eps)
(/ (- (+ 1 (* eps (- (+ 1 (* -1 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (exp (neg x))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) eps)
(/ (- (+ 1 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (exp (neg x))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (neg.f64 (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) eps)
(- 1 (* -1 (exp (neg (* x (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(- (+ 1 (/ 1 eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
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1
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(- (* 1/2 x) 1)
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(- (+ (* 1/2 x) (* eps (- x 1))) 1)
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(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)
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(* 1/2 (* (pow eps 2) x))
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(* -1 (+ 1 eps))
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(/ (+ 1 (+ (* eps (+ (* -1 (+ 1 (* x (- (* 1/2 x) 1)))) (+ (* eps (+ (* -1 (* x (- x 1))) (+ (* -1/2 (* eps (pow x 2))) (* 1/2 (pow x 2))))) (* x (- x 1))))) (* x (- (* 1/2 x) 1)))) eps)
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(* -1/2 (* (pow eps 2) (pow x 2)))
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(* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) eps)))))
(*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x (neg.f64 x) x)) eps)))
(* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (/ (* x (- x 1)) (pow eps 2)))))))
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(* (pow eps 2) (+ (* -1 (/ (* x (- x 1)) eps)) (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (/ (pow x 2) eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (- x 1)) (pow eps 2)) (/ (* x (- (* 1/2 x) 1)) (pow eps 3)))))))))
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(* -1/2 (* (pow eps 2) (pow x 2)))
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(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1/2 (pow x 2))) eps)) (* -1/2 (pow x 2))))
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(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (+ (* -1 (/ (+ (* -1 (* x (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))) (* -1 (+ 1 (* x (- (* 1/2 x) 1))))) eps)) (* -1/2 (pow x 2)))) eps)) (* -1/2 (pow x 2))))
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(- (/ 1 eps) 1)
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(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
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(- (+ (* 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 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (+.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) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (+.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) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))
(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal -1 binary64) eps) x))))
(* (pow x 2) (- (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (/ 1 (* eps (pow x 2))))) (/ 1 (pow x 2))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) x) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x eps))))) (*.f64 x x) #s(literal -1 binary64))
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(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal -1 binary64) eps) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) x)) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (+ 1 eps) (- (/ 1 eps) 1))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) x)) x)))

simplify1.0s (6.2%)

Memory
-9.0MiB live, 465.0MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0232147201
1232247201
0232247201
Stop Event
saturated
saturated
Counts
861 → 0
Calls
Call 1
Inputs
(exp.f64 (-.f64 (*.f64 x eps) x))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 x eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps)))))
(/.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
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(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (*.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
Outputs
(exp.f64 (-.f64 (*.f64 x eps) x))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 x eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps)))))
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eval319.0ms (2%)

Memory
25.8MiB live, 179.0MiB allocated
Compiler

Compiled 16 800 to 693 computations (95.9% saved)

prune48.0ms (0.3%)

Memory
1.7MiB live, 162.7MiB allocated
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New64228670
Fresh426
Picked415
Done000
Total65031681
Accuracy
100.0%
Counts
681 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
54.0%
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
70.8%
(/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
74.6%
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
58.3%
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
49.7%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
43.7%
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
70.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.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))
16.6%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 2 binary64))
30.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
28.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
43.4%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
64.4%
(/.f64 (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
57.1%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
78.0%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
91.1%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
64.0%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
83.4%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
61.5%
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
43.6%
(/.f64 (*.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)) #s(literal 2 binary64))
43.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
30.6%
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
36.8%
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
59.2%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))) #s(literal 2 binary64))
19.4%
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
59.2%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
17.2%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
69.7%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
16.1%
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
43.8%
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
44.2%
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
Compiler

Compiled 1 383 to 812 computations (41.3% saved)

simplify335.0ms (2.1%)

Memory
5.3MiB live, 765.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
cost-diff0
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff128
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
cost-diff192
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps))
cost-diff0
(neg.f64 x)
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
cost-diff1024
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
cost-diff384
(/.f64 (*.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)) #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff512
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 x eps) x)
cost-diff0
(exp.f64 (-.f64 (*.f64 x eps) x))
cost-diff0
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
cost-diff0
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
Rules
15 880×lower-fma.f32
15 868×lower-fma.f64
3 742×lower-+.f32
3 732×lower-+.f64
2 766×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037274
072274
1153269
2396269
31186265
45310265
08155254
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(exp.f64 (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(neg.f64 eps)
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 (*.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)) #s(literal 2 binary64))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#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 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
(fma.f64 x eps x)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 eps (neg.f64 x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(neg.f64 eps)
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 (*.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)) #s(literal 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #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 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(fma.f64 x (*.f64 (-.f64 eps #s(literal -2 binary64)) eps) x)
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x eps x)
(-.f64 #s(literal -1 binary64) eps)
#s(literal -1 binary64)
#s(literal 2 binary64)

localize136.0ms (0.8%)

Memory
-7.1MiB live, 313.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (-.f64 (*.f64 x eps) x))
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps))
accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
accuracy95.9%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
accuracy100.0%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
accuracy99.9%
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy99.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy99.8%
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
accuracy100.0%
(-.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(-.f64 (*.f64 x eps) x)
accuracy100.0%
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
accuracy100.0%
(exp.f64 (-.f64 (*.f64 x eps) x))
accuracy100.0%
(exp.f64 (*.f64 x (neg.f64 eps)))
Samples
77.0ms256×0valid
Compiler

Compiled 301 to 44 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 19.0ms (36% of total)
ival-add: 11.0ms (20.8% of total)
ival-div: 8.0ms (15.2% of total)
ival-exp: 5.0ms (9.5% of total)
const: 4.0ms (7.6% of total)
ival-sub: 3.0ms (5.7% of total)
ival-neg: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-6.0MiB live, 36.3MiB allocated
Counts
18 → 300
Calls
Call 1
Inputs
#<alt (exp.f64 (*.f64 x (neg.f64 eps)))>
#<alt (exp.f64 (-.f64 (*.f64 x eps) x))>
#<alt (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))>
#<alt (-.f64 (*.f64 x eps) x)>
#<alt (*.f64 x x)>
#<alt (-.f64 #s(literal 2 binary64) (*.f64 x x))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))>
#<alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))>
#<alt (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))>
#<alt (*.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))>
#<alt (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps))>
Outputs
#<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 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 2>
#<alt (+ 2 (* x (- (+ eps (* -1 eps)) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 eps) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 eps) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* eps x))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* eps x))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* eps x))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ 1 (exp (neg x)))>
#<alt (+ 1 (+ (exp (neg x)) (* eps (+ (* -1 x) (* x (exp (neg x)))))))>
#<alt (+ 1 (+ (exp (neg x)) (* eps (+ (* -1 x) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (pow x 2)))) (* x (exp (neg x))))))))>
#<alt (+ 1 (+ (exp (neg x)) (* eps (+ (* -1 x) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* eps x))) (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))>
#<alt (* (pow x 4) (- (* -1 (/ (- (/ 1 x) 2/3) x)) 1/3))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3) x)) 1/3))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt 1>
#<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 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- x 2)))>
#<alt (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2)))>
#<alt (* 2 (exp (neg x)))>
#<alt (* 2 (exp (neg x)))>
#<alt (* 2 (exp (neg x)))>
#<alt (* 2 (exp (neg x)))>
#<alt (* 2 (exp (* -1 x)))>
#<alt (* 2 (exp (* -1 x)))>
#<alt (* 2 (exp (* -1 x)))>
#<alt (* 2 (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>
#<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)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (+ 1 eps) 2)) (/ 1 (pow x 2))) (+ (/ 1 x) (/ eps x))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (+ 1 eps) 2)) (/ 1 (pow x 2))) (+ (/ 1 x) (/ eps x))))>
#<alt (* -1/2 (* (pow x 2) (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ 1 eps) (/ 1 x)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ 1 eps) (/ 1 x)) x)) (* -1/2 (* (+ 1 eps) (- (* -1 eps) 1)))))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (+ (* eps (* x (- x 1))) (* x (- (* 1/2 x) 1))))>
#<alt (+ 1 (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1))))>
#<alt (+ 1 (+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))>
#<alt x>
#<alt (+ x (* 2 (* eps x)))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- x 1))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (/ x eps)) (/ 1 eps)))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1 x)) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* 1/2 x) 1) eps)))) eps)) (* 1/2 x)))>
#<alt (* -1 (+ 1 eps))>
#<alt (- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))>
#<alt (- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))>
#<alt (- (* 1/2 (* x (pow (+ 1 eps) 2))) (+ 1 eps))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps x)))))>
#<alt (* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps x)))))>
#<alt (* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps x)))))>
Calls

75 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+ (* x -1/6) 1/2)
1.0ms
x
@-inf
(+ (* x (+ (* 1/2 (* (+ 1 eps) (+ (* x eps) x))) (- -1 eps))) 1)
0.0ms
eps
@-inf
(+ (* x (+ (* 1/2 (* (+ 1 eps) (+ (* x eps) x))) (- -1 eps))) 1)
0.0ms
x
@inf
(+ (* x (+ (* 1/2 (* (+ 1 eps) (+ (* x eps) x))) (- -1 eps))) 1)
0.0ms
x
@0
(+ (* x (+ (* 1/2 (* (+ 1 eps) (+ (* x eps) x))) (- -1 eps))) 1)

rewrite338.0ms (2.1%)

Memory
11.3MiB live, 808.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 234×lower-/.f32
4 230×lower-/.f64
4 116×lower-*.f32
4 104×lower-*.f64
3 080×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033134
064130
1291129
22477129
08358127
Stop Event
iter limit
node limit
iter limit
Counts
18 → 836
Calls
Call 1
Inputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(-.f64 (*.f64 x eps) x)
(*.f64 x x)
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 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 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps))
Outputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 eps))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) eps)
(pow.f64 (exp.f64 x) (neg.f64 eps))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 (neg.f64 x))) (neg.f64 eps))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
(pow.f64 (exp.f64 eps) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps))
(pow.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) eps)
(*.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))
(*.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) eps))
(*.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) eps))
(*.f64 (pow.f64 #s(literal 1/2 binary64) eps) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (pow.f64 #s(literal 1/2 binary64) eps))
(*.f64 (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (neg.f64 eps))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) eps) (pow.f64 #s(literal -1/2 binary64) eps))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.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 (exp.f64 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))))))
(/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 eps (*.f64 x eps))) (fma.f64 x eps x))) (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x eps x))))
(/.f64 (exp.f64 (fma.f64 x eps #s(literal 0 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 x eps)))) (neg.f64 (neg.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 x (*.f64 x eps))) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 eps) (exp.f64 #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps))))))
(pow.f64 (exp.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)))) (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (fma.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps))) (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))))
(*.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 (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))) (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) eps) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (pow.f64 #s(literal 1/2 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) eps) (pow.f64 #s(literal -1/2 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #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 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps))))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 x eps))) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (-.f64 x (*.f64 x eps)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) (exp.f64 (fma.f64 x eps (*.f64 x eps)))) (*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x eps))))) (*.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)) (*.f64 (exp.f64 (-.f64 x (*.f64 x eps))) #s(literal 1 binary64))) (*.f64 (exp.f64 (-.f64 x (*.f64 x eps))) (exp.f64 (*.f64 x eps))))
(/.f64 (+.f64 (exp.f64 (fma.f64 x eps (*.f64 x eps))) (*.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (exp.f64 (*.f64 x eps))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 x eps))) (exp.f64 (*.f64 x eps)) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))) (*.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) (*.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x 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 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) #s(literal -1 binary64))
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simplify443.0ms (2.7%)

Memory
-12.8MiB live, 820.2MiB allocated
Algorithm
egg-herbie
Rules
17 676×lower-fma.f64
17 676×lower-fma.f32
4 998×lower-*.f64
4 998×lower-*.f32
4 828×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03882696
111932580
235852523
373772511
086152353
Stop Event
iter limit
node limit
Counts
300 → 299
Calls
Call 1
Inputs
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)))))))
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(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
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(exp (* -1 (* eps x)))
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(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
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(exp (* -1 (* eps x)))
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(* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps x)))))
(* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps x)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(-.f64 #s(literal 1 binary64) (*.f64 eps x))
(+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/2 binary64)) #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 eps (*.f64 eps (*.f64 eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (neg.f64 eps)) #s(literal 1 binary64))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(-.f64 #s(literal 1 binary64) (*.f64 eps x))
(+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(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 (* x (- eps 1)))
(fma.f64 eps x (-.f64 #s(literal 1 binary64) x))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) eps) (-.f64 #s(literal 1 binary64) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(*.f64 (fma.f64 eps x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 eps x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 eps)) 1)))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* x (- (+ eps (+ (* -1 eps) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 eps) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (+ (* -1 x) (* eps x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ 1 (exp (neg x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+ 1 (+ (exp (neg x)) (* eps (+ (* -1 x) (* x (exp (neg x)))))))
(fma.f64 eps (neg.f64 x) (fma.f64 (fma.f64 eps x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+ 1 (+ (exp (neg x)) (* eps (+ (* -1 x) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (pow x 2)))) (* x (exp (neg x))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) eps eps)) x) (*.f64 (fma.f64 eps x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(+ 1 (+ (exp (neg x)) (* eps (+ (* -1 x) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))))) (neg.f64 x)) (*.f64 (fma.f64 eps x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+ (exp (* -1 (* eps x))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(* x (- eps 1))
(-.f64 (*.f64 eps x) x)
(* x (- eps 1))
(-.f64 (*.f64 eps x) x)
(* x (- eps 1))
(-.f64 (*.f64 eps x) x)
(* x (- eps 1))
(-.f64 (*.f64 eps x) x)
(* x (- eps 1))
(-.f64 (*.f64 eps x) x)
(* x (- eps 1))
(-.f64 (*.f64 eps x) x)
(* x (- eps 1))
(-.f64 (*.f64 eps x) x)
(* x (- eps 1))
(-.f64 (*.f64 eps x) x)
(* -1 (* x (+ 1 (* -1 eps))))
(-.f64 (*.f64 eps x) x)
(* -1 (* x (+ 1 (* -1 eps))))
(-.f64 (*.f64 eps x) x)
(* -1 (* x (+ 1 (* -1 eps))))
(-.f64 (*.f64 eps x) x)
(* -1 (* x (+ 1 (* -1 eps))))
(-.f64 (*.f64 eps x) x)
(* -1 x)
(neg.f64 x)
(- (* eps x) x)
(-.f64 (*.f64 eps x) x)
(- (* eps x) x)
(-.f64 (*.f64 eps x) x)
(- (* eps x) x)
(-.f64 (*.f64 eps x) x)
(* eps x)
(*.f64 eps x)
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
1
#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)))
(fma.f64 x (*.f64 x #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))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(neg.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 (neg.f64 x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(neg.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(neg.f64 (*.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(* -1/3 (pow x 4))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2/3 binary64) x)))
(* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/3 (pow x 4))
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(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(*.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)))
(* -1/2 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (*.f64 x (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) eps))
(* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps 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)))
(* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps 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)))
(* -1 (* x (+ (* 1/2 (* (+ 1 eps) (- (* -1 eps) 1))) (+ (/ 1 x) (/ eps 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)))

simplify264.0ms (1.6%)

Memory
6.6MiB live, 490.5MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0210539939
1210639939
0210639939
Stop Event
saturated
saturated
Counts
836 → 0
Calls
Call 1
Inputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 eps))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) eps)
(pow.f64 (exp.f64 x) (neg.f64 eps))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 (neg.f64 x))) (neg.f64 eps))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
(pow.f64 (exp.f64 eps) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps))
(pow.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) eps)
(*.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))
(*.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) eps))
(*.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) eps))
(*.f64 (pow.f64 #s(literal 1/2 binary64) eps) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (pow.f64 #s(literal 1/2 binary64) eps))
(*.f64 (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (neg.f64 eps))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) eps) (pow.f64 #s(literal -1/2 binary64) eps))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.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 (exp.f64 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))))))
(/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 eps (*.f64 x eps))) (fma.f64 x eps x))) (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x eps x))))
(/.f64 (exp.f64 (fma.f64 x eps #s(literal 0 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 x eps)))) (neg.f64 (neg.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 x (*.f64 x eps))) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 eps) (exp.f64 #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps))))))
(pow.f64 (exp.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)))) (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (fma.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps))) (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))))
(*.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 (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))) (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) eps) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (pow.f64 #s(literal 1/2 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) eps) (pow.f64 #s(literal -1/2 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #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 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps))))))))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 eps eps (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))))) (neg.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 eps eps))) (neg.f64 (+.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps)))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))))))
(*.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps))))
Outputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 eps))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) eps)
(pow.f64 (exp.f64 x) (neg.f64 eps))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 (neg.f64 x))) (neg.f64 eps))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
(pow.f64 (exp.f64 eps) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps))
(pow.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) eps)
(*.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))
(*.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) eps))
(*.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) eps))
(*.f64 (pow.f64 #s(literal 1/2 binary64) eps) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (pow.f64 #s(literal 1/2 binary64) eps))
(*.f64 (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (neg.f64 eps))))
(*.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) eps) (pow.f64 #s(literal -1/2 binary64) eps))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.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 (exp.f64 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps)))))))
(/.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 eps (*.f64 x eps))) (fma.f64 x eps x))) (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x eps x))))
(/.f64 (exp.f64 (fma.f64 x eps #s(literal 0 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 x eps)))) (neg.f64 (neg.f64 (exp.f64 x))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 x (*.f64 x eps))) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 eps) (exp.f64 #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x eps x) (*.f64 x (*.f64 eps (*.f64 x eps))))))
(pow.f64 (exp.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)))) (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (fma.f64 (*.f64 x eps) (*.f64 x (*.f64 eps (*.f64 x eps))) (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))))
(*.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 (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))) (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 2 binary64) eps) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) eps) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps) (pow.f64 #s(literal 1/2 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) eps) (pow.f64 #s(literal -1/2 binary64) eps) (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #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 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (neg.f64 eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 eps eps (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))))) (neg.f64 (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 eps eps))) (neg.f64 (+.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps)))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x)))))))
(*.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) eps) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps))))

eval73.0ms (0.4%)

Memory
7.7MiB live, 161.1MiB allocated
Compiler

Compiled 11 732 to 464 computations (96% saved)

prune47.0ms (0.3%)

Memory
-6.2MiB live, 118.4MiB allocated
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New67717694
Fresh91625
Picked415
Done101
Total69134725
Accuracy
100.0%
Counts
725 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(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))
57.9%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
43.4%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
32.0%
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
43.6%
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
54.0%
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
70.8%
(/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
74.2%
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
40.4%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
49.7%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
43.7%
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
70.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.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))
30.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
28.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
58.9%
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
75.4%
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
60.9%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64))
91.1%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
64.0%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
83.4%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
83.7%
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
75.0%
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
61.8%
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
20.8%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
43.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
36.8%
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
59.2%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))) #s(literal 2 binary64))
59.2%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
17.2%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
43.8%
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
43.5%
(-.f64 #s(literal 1 binary64) x)
1.7%
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
69.7%
(exp.f64 (neg.f64 x))
44.2%
#s(literal 1 binary64)
Compiler

Compiled 1 328 to 797 computations (40% saved)

simplify411.0ms (2.5%)

Memory
29.0MiB live, 734.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
cost-diff128
(*.f64 x #s(literal 2 binary64))
cost-diff896
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
cost-diff896
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff1664
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
cost-diff0
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 eps x)
cost-diff0
(exp.f64 (*.f64 eps x))
cost-diff0
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps))))
cost-diff0
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
Rules
20 468×lower-fma.f32
20 462×lower-fma.f64
4 290×lower-*.f32
4 276×lower-*.f64
2 254×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034216
063216
1128211
2306207
3822207
43369190
56880190
08072180
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (*.f64 eps x))
(*.f64 eps x)
eps
x
(exp.f64 (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(neg.f64 eps)
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
#s(literal 2/3 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))
x
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 x x)
(+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(literal -1/6 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps))))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 eps (neg.f64 x))))
(exp.f64 (*.f64 eps x))
(*.f64 eps x)
eps
x
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(neg.f64 eps)
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
#s(literal 2/3 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 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 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
x
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x x)
(+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(literal -1/6 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(*.f64 x #s(literal 2 binary64))
(+.f64 x x)
#s(literal 2 binary64)

localize114.0ms (0.7%)

Memory
-7.3MiB live, 226.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy99.6%
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
accuracy99.9%
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy99.9%
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))
accuracy99.9%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy73.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
accuracy100.0%
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
accuracy99.8%
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
accuracy100.0%
(*.f64 eps x)
accuracy100.0%
(neg.f64 eps)
accuracy100.0%
(exp.f64 (*.f64 eps x))
accuracy100.0%
(exp.f64 (*.f64 x (neg.f64 eps)))
Samples
70.0ms256×0valid
Compiler

Compiled 226 to 39 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 14.0ms (27.5% of total)
const: 10.0ms (19.6% of total)
ival-div: 9.0ms (17.7% of total)
ival-add: 8.0ms (15.7% of total)
ival-exp: 5.0ms (9.8% of total)
ival-neg: 2.0ms (3.9% of total)
ival-sub: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-10.7MiB live, 27.3MiB allocated
Counts
16 → 228
Calls
Call 1
Inputs
#<alt (exp.f64 (*.f64 x (neg.f64 eps)))>
#<alt (exp.f64 (*.f64 eps x))>
#<alt (neg.f64 eps)>
#<alt (*.f64 eps x)>
#<alt (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))>
#<alt (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))>
#<alt (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 x #s(literal 2 binary64))>
Outputs
#<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 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* 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 (- (* 2/3 x) 1)>
#<alt (- (* 2/3 x) 1)>
#<alt (- (* 2/3 x) 1)>
#<alt (* 2/3 x)>
#<alt (* x (- 2/3 (/ 1 x)))>
#<alt (* x (- 2/3 (/ 1 x)))>
#<alt (* x (- 2/3 (/ 1 x)))>
#<alt (* 2/3 x)>
#<alt (* -1 (* x (- (/ 1 x) 2/3)))>
#<alt (* -1 (* x (- (/ 1 x) 2/3)))>
#<alt (* -1 (* x (- (/ 1 x) 2/3)))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (- 2/3 (/ 1 x)))>
#<alt (* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))>
#<alt (* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))>
#<alt (* 2/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 2/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* 1/2 x) 1) (pow x 2))>
#<alt (/ (- (* 1/2 x) 1) (pow x 2))>
#<alt (/ (- (* 1/2 x) 1) (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (/ 1 x)) x)>
#<alt (/ (- 1/2 (/ 1 x)) x)>
#<alt (/ (- 1/2 (/ 1 x)) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (/ 1 x) 1/2) x))>
#<alt (* -1 (/ (- (/ 1 x) 1/2) x))>
#<alt (* -1 (/ (- (/ 1 x) 1/2) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))>
#<alt (* (pow x 4) (- (* -1 (/ (- (/ 1 x) 2/3) x)) 1/3))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3) x)) 1/3))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -2 x)))>
#<alt (* x (+ 2 (* x (- x 2))))>
#<alt (* x (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))>
#<alt (* 2 (* x (exp (neg x))))>
#<alt (* 2 (* x (exp (neg x))))>
#<alt (* 2 (* x (exp (neg x))))>
#<alt (* 2 (* x (exp (neg x))))>
#<alt (* 2 (* x (exp (* -1 x))))>
#<alt (* 2 (* x (exp (* -1 x))))>
#<alt (* 2 (* x (exp (* -1 x))))>
#<alt (* 2 (* x (exp (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

57 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/ (- 1/2 (/ 1 x)) x)
0.0ms
x
@-inf
(* (exp (neg x)) (* x 2))
0.0ms
x
@inf
(* (exp (neg x)) (* x 2))
0.0ms
x
@-inf
(* (* x x) (+ -1/6 (/ (- 1/2 (/ 1 x)) x)))
0.0ms
x
@inf
(+ (* (* x x) (+ (* x 2/3) -1)) 2)

rewrite625.0ms (3.8%)

Memory
30.1MiB live, 657.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 054×lower-*.f32
4 040×lower-*.f64
3 998×lower-fma.f32
3 992×lower-fma.f64
3 988×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030114
055114
1220111
21698111
08132108
Stop Event
iter limit
node limit
iter limit
Counts
16 → 535
Calls
Call 1
Inputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 eps x))
(neg.f64 eps)
(*.f64 eps x)
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 x #s(literal 2 binary64))
Outputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 eps))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) eps)
(pow.f64 (exp.f64 x) (neg.f64 eps))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64))))
(pow.f64 (exp.f64 eps) (neg.f64 x))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps))
(pow.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64))))))))
(*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(literal 1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 x (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

simplify318.0ms (1.9%)

Memory
-30.4MiB live, 499.6MiB allocated
Algorithm
egg-herbie
Rules
11 290×lower-fma.f64
11 290×lower-fma.f32
3 688×lower-*.f64
3 688×lower-*.f32
3 608×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02191377
16211343
217291309
340101296
082231204
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* eps x)))
(+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ (* -1 eps) (* x (+ (* -1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
1
(+ 1 (* -1 (* eps x)))
(+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* 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
(- (* 2/3 x) 1)
(- (* 2/3 x) 1)
(- (* 2/3 x) 1)
(* 2/3 x)
(* x (- 2/3 (/ 1 x)))
(* x (- 2/3 (/ 1 x)))
(* x (- 2/3 (/ 1 x)))
(* 2/3 x)
(* -1 (* x (- (/ 1 x) 2/3)))
(* -1 (* x (- (/ 1 x) 2/3)))
(* -1 (* x (- (/ 1 x) 2/3)))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(* 2/3 (pow x 3))
(* (pow x 3) (- 2/3 (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
(* 2/3 (pow x 3))
(* -1 (* (pow x 3) (- (/ 1 x) 2/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ -1 (pow x 2))
(/ (- (* 1/2 x) 1) (pow x 2))
(/ (- (* 1/2 x) 1) (pow x 2))
(/ (- (* 1/2 x) 1) (pow x 2))
(/ 1/2 x)
(/ (- 1/2 (/ 1 x)) x)
(/ (- 1/2 (/ 1 x)) x)
(/ (- 1/2 (/ 1 x)) x)
(/ 1/2 x)
(* -1 (/ (- (/ 1 x) 1/2) x))
(* -1 (/ (- (/ 1 x) 1/2) x))
(* -1 (/ (- (/ 1 x) 1/2) x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 2/3) x)) 1/3))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3) x)) 1/3))
(* 2 x)
(* x (+ 2 (* -2 x)))
(* x (+ 2 (* x (- x 2))))
(* x (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))
(* 2 (* x (exp (neg x))))
(* 2 (* x (exp (neg x))))
(* 2 (* x (exp (neg x))))
(* 2 (* x (exp (neg x))))
(* 2 (* x (exp (* -1 x))))
(* 2 (* x (exp (* -1 x))))
(* 2 (* x (exp (* -1 x))))
(* 2 (* 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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(-.f64 #s(literal 1 binary64) (*.f64 eps x))
(+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 eps) (* x (+ (* -1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) (neg.f64 eps)) #s(literal 1 binary64))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(-.f64 #s(literal 1 binary64) (*.f64 eps x))
(+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 x (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp (* -1 (* eps x)))
(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 (* eps x))
(fma.f64 eps x #s(literal 1 binary64))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (fma.f64 eps (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 x (*.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 eps x #s(literal 1 binary64))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (fma.f64 eps (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))) eps) #s(literal 1 binary64))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(exp (* eps x))
(exp.f64 (*.f64 eps x))
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
-1
#s(literal -1 binary64)
(- (* 2/3 x) 1)
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(- (* 2/3 x) 1)
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(- (* 2/3 x) 1)
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (- 2/3 (/ 1 x)))
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(* x (- 2/3 (/ 1 x)))
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(* x (- 2/3 (/ 1 x)))
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* -1 (* x (- (/ 1 x) 2/3)))
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 2/3)))
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 2/3)))
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(* 2/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(* (pow x 3) (- 2/3 (/ 1 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))))
(* 2/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(* -1 (* (pow x 3) (- (/ 1 x) 2/3)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* 1/2 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* 1/2 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (/ 1 x) 1/2) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1/2) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1/2) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal -1/6 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(* -1/3 (pow x 4))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2/3 binary64) x)))
(* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1/3 (pow x 4))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 2/3) x)) 1/3))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3) x)) 1/3))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* x (- x 2))))
(*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(* 2 (* x (exp (neg x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 2 (* x (exp (neg x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 2 (* x (exp (neg x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 2 (* x (exp (neg x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 2 (* x (exp (* -1 x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 2 (* x (exp (* -1 x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 2 (* x (exp (* -1 x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 2 (* x (exp (* -1 x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

simplify462.0ms (2.8%)

Memory
-6.1MiB live, 402.4MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144337500
1144437500
0144437500
Stop Event
saturated
saturated
Counts
535 → 0
Calls
Call 1
Inputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 eps))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) eps)
(pow.f64 (exp.f64 x) (neg.f64 eps))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64))))
(pow.f64 (exp.f64 eps) (neg.f64 x))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps))
(pow.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64))))))))
(*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(literal 1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 x (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
Outputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 eps))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) eps)
(pow.f64 (exp.f64 x) (neg.f64 eps))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (neg.f64 eps) #s(literal 2 binary64)) (/.f64 (neg.f64 eps) #s(literal 2 binary64))))
(pow.f64 (exp.f64 eps) (neg.f64 x))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps))
(pow.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (neg.f64 eps) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))
(*.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (neg.f64 eps))))
(exp.f64 (*.f64 x eps))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 eps) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 eps (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 eps) (exp.f64 eps)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 eps (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 eps (/.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (neg.f64 eps))
(-.f64 #s(literal 0 binary64) eps)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)))) (/.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) eps)) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 0 binary64) eps)))
(neg.f64 eps)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (+.f64 #s(literal 0 binary64) eps))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) (neg.f64 (+.f64 #s(literal 0 binary64) eps)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 #s(literal 0 binary64) (neg.f64 eps)))))
(*.f64 eps #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 x eps)
(*.f64 eps x)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64)))
(+.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64)))))
(fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2/3 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -2/3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -2/3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -2/3 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x #s(literal -2/3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -2/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x #s(literal -2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -2/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -2/3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8/27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -2/3 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2/3 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64))))))))
(*.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(literal 1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 x (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

eval49.0ms (0.3%)

Memory
25.2MiB live, 98.8MiB allocated
Compiler

Compiled 6 272 to 241 computations (96.2% saved)

prune45.0ms (0.3%)

Memory
-5.6MiB live, 118.3MiB allocated
Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New4728480
Fresh52328
Picked235
Done011
Total47935514
Accuracy
100.0%
Counts
514 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
43.4%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
50.5%
(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))
57.9%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
32.0%
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
70.8%
(/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
74.2%
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
40.4%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
49.7%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
43.7%
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
70.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.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))
30.8%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
28.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
58.9%
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
75.4%
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
64.7%
(/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 x (*.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
91.1%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
83.4%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
83.7%
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
64.2%
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
75.0%
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
61.8%
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
36.8%
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
59.2%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))) #s(literal 2 binary64))
59.2%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
17.2%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
2.4%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
12.8%
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
43.8%
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
43.5%
(-.f64 #s(literal 1 binary64) x)
12.5%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
12.1%
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
1.7%
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
69.7%
(exp.f64 (neg.f64 x))
44.2%
#s(literal 1 binary64)
Compiler

Compiled 1 913 to 687 computations (64.1% saved)

regimes74.0ms (0.5%)

Memory
-10.4MiB live, 145.1MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 x (*.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
Calls

4 calls:

20.0ms
eps
19.0ms
x
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)))))
16.0ms
(/.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
98.2%1x
98.2%1eps
98.2%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))
98.2%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)

regimes71.0ms (0.4%)

Memory
28.1MiB live, 105.2MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 x (*.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
Calls

4 calls:

22.0ms
eps
17.0ms
x
15.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
14.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
91.1%1x
99.5%2eps
99.5%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))
99.5%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 66 to 40 computations (39.4% saved)

regimes53.0ms (0.3%)

Memory
-25.5MiB live, 91.9MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 x (*.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
Calls

3 calls:

18.0ms
eps
18.0ms
(-.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
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.5%2eps
99.5%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))
99.5%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)

regimes53.0ms (0.3%)

Memory
2.6MiB live, 89.7MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 x (*.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
Calls

3 calls:

21.0ms
eps
15.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
13.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.5%2eps
99.5%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))
99.5%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)

regimes48.0ms (0.3%)

Memory
16.5MiB live, 92.0MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 x (*.f64 eps #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
Calls

3 calls:

17.0ms
eps
14.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
13.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.1%2eps
94.1%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
94.1%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes66.0ms (0.4%)

Memory
-19.1MiB live, 62.4MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (*.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) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
Calls

3 calls:

38.0ms
(/.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
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
93.7%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))
93.7%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)))))
91.6%2eps
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes24.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
Calls

2 calls:

11.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
93.7%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))
93.7%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes28.0ms (0.2%)

Memory
-10.8MiB live, 27.4MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
Calls

2 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)))))
10.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.7%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))
93.7%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes38.0ms (0.2%)

Memory
-13.3MiB live, 62.1MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
Outputs
(exp.f64 (neg.f64 x))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
Calls

3 calls:

12.0ms
x
12.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
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
89.8%5x
92.5%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))
92.5%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)

regimes42.0ms (0.3%)

Memory
20.6MiB live, 60.6MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) (*.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))))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (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))) eps) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
Calls

4 calls:

14.0ms
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
82.7%4x
75.4%1eps
78.4%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
78.4%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes13.0ms (0.1%)

Memory
-14.8MiB live, 21.7MiB allocated
Counts
29 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
84.0%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.1%)

Memory
12.8MiB live, 51.4MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
Calls

3 calls:

7.0ms
x
7.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
78.4%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
78.4%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)))))
79.4%3x
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes21.0ms (0.1%)

Memory
12.9MiB live, 52.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
Calls

3 calls:

7.0ms
x
7.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
77.7%2x
75.0%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
75.0%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes30.0ms (0.2%)

Memory
-21.6MiB live, 59.7MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 x eps x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.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)) #s(literal 2 binary64))
Outputs
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
Calls

4 calls:

9.0ms
x
7.0ms
eps
7.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
6.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
75.6%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
75.6%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
68.1%2eps
72.3%3x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes11.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
Outputs
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))
Calls

2 calls:

5.0ms
(-.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)))))
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
75.4%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))
75.4%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes21.0ms (0.1%)

Memory
6.3MiB live, 45.5MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

4 calls:

5.0ms
(-.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)))))
5.0ms
x
5.0ms
eps
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
57.9%1eps
61.7%2x
57.9%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
57.9%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes5.0ms (0%)

Memory
-29.6MiB live, 9.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(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))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
60.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
Outputs
(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
57.9%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated
Accuracy

Total -27.2b remaining (-76%)

Threshold costs -27.2b (-76%)

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

4 calls:

3.0ms
x
3.0ms
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
44.2%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))
44.2%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)))))
44.2%1eps
44.2%1x
Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch6.0ms (0%)

Memory
-48.4MiB live, 1.5MiB allocated
Algorithm
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
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch31.0ms (0.2%)

Memory
7.0MiB live, 45.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
1.2843784023274023e-14
2.6471111044730287e-13
Samples
15.0ms67×1valid
4.0ms45×0valid
1.0ms14×0exit
Compiler

Compiled 321 to 213 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 3.0ms (18.1% of total)
ival-exp: 3.0ms (18.1% of total)
ival-mult: 3.0ms (18.1% of total)
adjust: 2.0ms (12.1% of total)
ival-sub: 2.0ms (12.1% of total)
ival-add: 1.0ms (6% of total)
ival-neg: 1.0ms (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
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000007288298205
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000007288298205
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000007288298205
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000007288298205
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch99.0ms (0.6%)

Memory
26.1MiB live, 101.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
3.4825385690682127e+263
2.5838293803329275e+270
33.0ms
2.5045987066952797e+23
3.0662511168109273e+26
36.0ms
0.03936341319267444
104260731020.7114
Samples
53.0ms377×0valid
14.0ms47×1valid
4.0ms2valid
Compiler

Compiled 1 128 to 718 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-exp: 25.0ms (41.4% of total)
ival-mult: 10.0ms (16.5% of total)
ival-div: 8.0ms (13.2% of total)
ival-sub: 6.0ms (9.9% of total)
ival-neg: 4.0ms (6.6% of total)
ival-add: 4.0ms (6.6% of total)
adjust: 2.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch38.0ms (0.2%)

Memory
-27.5MiB live, 48.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.4825385690682127e+263
2.5838293803329275e+270
1.0ms
2.5045987066952797e+23
3.0662511168109273e+26
1.0ms
0.03936341319267444
104260731020.7114
27.0ms
-1.8690624889543626e-158
-3.238101049502384e-159
Samples
12.0ms49×1valid
5.0ms47×0valid
Compiler

Compiled 1 264 to 836 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 3.0ms (21.2% of total)
ival-exp: 3.0ms (21.2% of total)
ival-sub: 2.0ms (14.1% of total)
ival-div: 2.0ms (14.1% of total)
adjust: 2.0ms (14.1% of total)
ival-add: 1.0ms (7.1% of total)
ival-neg: 1.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000007288298205
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch27.0ms (0.2%)

Memory
14.6MiB live, 51.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
0.0052032981751867465
0.03936341319267444
Samples
12.0ms39×1valid
9.0ms57×0valid
Compiler

Compiled 256 to 174 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 4.0ms (27.5% of total)
ival-mult: 3.0ms (20.6% of total)
ival-sub: 2.0ms (13.7% of total)
adjust: 2.0ms (13.7% of total)
ival-div: 2.0ms (13.7% of total)
ival-neg: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5279.654467708621
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5279.654467708621
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch31.0ms (0.2%)

Memory
24.3MiB live, 59.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-573.9913664231537
-40.38066813018958
Samples
19.0ms47×1valid
5.0ms49×0valid
Compiler

Compiled 184 to 138 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-exp: 10.0ms (47% of total)
ival-mult: 3.0ms (14.1% of total)
ival-sub: 2.0ms (9.4% of total)
adjust: 2.0ms (9.4% of total)
ival-div: 2.0ms (9.4% of total)
ival-neg: 1.0ms (4.7% of total)
ival-add: 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)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-573.9913664231537
-40.38066813018958
Compiler

Compiled 166 to 126 computations (24.1% saved)

simplify62.0ms (0.4%)

Memory
-17.5MiB live, 71.2MiB allocated
Algorithm
egg-herbie
Rules
374×distribute-lft-neg-in_binary64
220×neg-mul-1_binary64
188×neg-sub0_binary64
144×distribute-rgt-neg-in_binary64
134×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0144911
1211911
2264891
3326891
4379891
5461891
6533891
7630891
8762891
9858891
10929891
11995891
121041891
131087891
141137891
151173891
161185891
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 2574915281713591/9903520314283042199192993792 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 760 binary64)) (/.f64 (+.f64 (fma.f64 x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 1599999999999999865782272 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 94999999999999995643741510362824076975562091551478592900211389219857104698069461438026122082716659258340977911408433345586744745466216874635344136781671760180089981618501744459209777011429511730791359911561943719117038131008778801695634544554445180492267549931828412416 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -816190324861245/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 760 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 1599999999999999865782272 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 94999999999999995643741510362824076975562091551478592900211389219857104698069461438026122082716659258340977911408433345586744745466216874635344136781671760180089981618501744459209777011429511730791359911561943719117038131008778801695634544554445180492267549931828412416 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5476377146882523/144115188075855872 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 10000 binary64)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 2/3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 10000 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -460 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.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 -460 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #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))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 eps (neg.f64 x)))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 0 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 2574915281713591/9903520314283042199192993792 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 2574915281713591/9903520314283042199192993792 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.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 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 x (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(if (<=.f64 x #s(literal -460 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.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 -460 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #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))
#s(literal 1 binary64)

soundness1.7s (10.5%)

Memory
-1.9MiB live, 1 327.1MiB allocated
Rules
17 676×lower-fma.f64
17 676×lower-fma.f32
14 440×lower-fma.f64
14 440×lower-fma.f32
13 070×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02191377
16211343
217291309
340101296
082231204
03882696
111932580
235852523
373772511
086152353
02351551
17481379
224671278
084891197
05785022
119034792
261234734
087124381
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 045 to 905 computations (55.7% saved)

preprocess154.0ms (0.9%)

Memory
-12.2MiB live, 269.4MiB allocated
Compiler

Compiled 1 956 to 378 computations (80.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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