ENA, Section 1.4, Exercise 4b, n=5

Time bar (total: 9.3s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 26 to 18 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)

sample1.8s (18.9%)

Results
922.0ms6711×0valid
355.0ms1244×1valid
131.0ms301×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-pow: 551.0ms (54.1% of total)
ival-<=: 206.0ms (20.2% of total)
ival-add: 92.0ms (9% of total)
backward-pass: 68.0ms (6.7% of total)
ival-sub: 50.0ms (4.9% of total)
ival-and: 26.0ms (2.6% of total)
const: 24.0ms (2.4% of total)
Bogosity

preprocess71.0ms (0.8%)

Algorithm
egg-herbie
Rules
524×fnmadd-define
472×sum3-define
448×fmsub-define
440×fnmsub-define
374×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02260
14458
29556
319156
446456
5104156
6157656
7198556
8212956
9221256
10223056
079
1109
2159
3229
4329
5649
61239
72129
82979
94039
104819
114879
04879
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (pow (+ x eps) 5) (pow x 5))
Outputs
(- (pow (+ x eps) 5) (pow x 5))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Call 2
Inputs
(- (pow (+ x eps) 5) (pow x 5))
(- (pow (+ (neg x) eps) 5) (pow (neg x) 5))
(- (pow (+ x (neg eps)) 5) (pow x 5))
(neg (- (pow (+ (neg x) eps) 5) (pow (neg x) 5)))
(neg (- (pow (+ x (neg eps)) 5) (pow x 5)))
(- (pow (+ eps x) 5) (pow eps 5))
Outputs
(- (pow (+ x eps) 5) (pow x 5))
(- (pow (+ (neg x) eps) 5) (pow (neg x) 5))
(- (pow (- eps x) 5) (pow (neg x) 5))
(- (pow (+ x (neg eps)) 5) (pow x 5))
(- (pow (- x eps) 5) (pow x 5))
(neg (- (pow (+ (neg x) eps) 5) (pow (neg x) 5)))
(- (pow (neg x) 5) (pow (- eps x) 5))
(neg (- (pow (+ x (neg eps)) 5) (pow x 5)))
(- (pow x 5) (pow (- x eps) 5))
(- (pow (+ eps x) 5) (pow eps 5))
(- (pow (+ x eps) 5) (pow eps 5))

explain133.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
361(1.2953626153377832e-19 5.869268690887126e-249)0-(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
00-0-x
00-0-(pow.f64 x #s(literal 5 binary64))
00-0-(+.f64 x eps)
00-0-#s(literal 5 binary64)
038(1.2128915327274528e-166 1.6465002725038114e-15)0-(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
00-0-eps
Results
58.0ms416×0valid
17.0ms64×1valid
15.0ms32×2valid
Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 34.0ms (71.4% of total)
ival-add: 5.0ms (10.5% of total)
const: 3.0ms (6.3% of total)
backward-pass: 3.0ms (6.3% of total)
ival-sub: 3.0ms (6.3% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
87.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 5 binary64))
cost-diff0
(+.f64 x eps)
cost-diff0
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
cost-diff0
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Rules
124×fnmadd-define
122×sum3-define
80×fma-lowering-fma.f32
80×fnmsub-define
80×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11023
21523
32223
43223
56423
612323
721223
829723
940323
1048123
1148723
048723
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (pow (+ x eps) 5) (pow x 5))
(pow (+ x eps) 5)
(+ x eps)
x
eps
5
(pow x 5)
Outputs
(- (pow (+ x eps) 5) (pow x 5))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow (+ x eps) 5)
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+ x eps)
(+.f64 x eps)
x
eps
5
#s(literal 5 binary64)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))

localize58.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 5 binary64))
accuracy100.0%
(+.f64 x eps)
accuracy100.0%
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy87.9%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
27.0ms208×0valid
13.0ms16×2valid
9.0ms32×1valid
Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-pow: 22.0ms (76.3% of total)
ival-sub: 3.0ms (10.4% of total)
ival-add: 2.0ms (6.9% of total)
backward-pass: 2.0ms (6.9% of total)
const: 0.0ms (0% of total)

series33.0ms (0.4%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (- (pow (+ x eps) 5) (pow x 5))>
#<alt (pow (+ x eps) 5)>
#<alt (+ x eps)>
#<alt (pow x 5)>
Outputs
#<alt (pow eps 5)>
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))>
#<alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))>
#<alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))>
#<alt (* (pow x 4) (+ eps (* 4 eps)))>
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))>
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))>
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))>
#<alt (* (pow x 4) (+ eps (* 4 eps)))>
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))>
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))>
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))>
#<alt (* eps (+ (* 4 (pow x 4)) (pow x 4)))>
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))>
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))>
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))>
#<alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))>
#<alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))>
#<alt (pow x 5)>
#<alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))>
#<alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))>
#<alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))>
#<alt (pow x 5)>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))>
#<alt (pow x 5)>
#<alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))>
#<alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))>
#<alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
Calls

21 calls:

TimeVariablePointExpression
26.0ms
eps
@0
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@-inf
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@inf
(- (pow (+ x eps) 5) (pow x 5))
1.0ms
x
@0
(- (pow (+ x eps) 5) (pow x 5))
0.0ms
eps
@inf
(- (pow (+ x eps) 5) (pow x 5))

rewrite309.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
2404×*-lowering-*.f32
2404×*-lowering-*.f64
1732×fma-lowering-fma.f32
1732×fma-lowering-fma.f64
1536×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
14820
237820
3414920
0848420
Stop Event
iter limit
node limit
Counts
4 → 208
Calls
Call 1
Inputs
(- (pow (+ x eps) 5) (pow x 5))
(pow (+ x eps) 5)
(+ x eps)
(pow x 5)
Outputs
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64))))) (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64))))) (-.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)))))))
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(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64))))
(pow.f64 x #s(literal 5 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))

simplify337.0ms (3.6%)

Algorithm
egg-herbie
Rules
6700×*-lowering-*.f32
6700×*-lowering-*.f64
4366×+-lowering-+.f64
4366×+-lowering-+.f32
1350×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02451285
19071121
23658962
08496962
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(pow x 5)
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64)))))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 eps #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 x x))))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64))) (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) x)))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 x x))))) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64))) (*.f64 x x))) (*.f64 #s(literal 5 binary64) (/.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) x)))))
(* (pow x 4) (+ eps (* 4 eps)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) x)) x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(*.f64 eps (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(*.f64 eps (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) eps) eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) eps) eps) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64)) (/.f64 x eps))) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64)))))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps #s(literal 5 binary64)) x)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) (*.f64 x x)) (/.f64 (*.f64 eps #s(literal 5 binary64)) x)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x)))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x))) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x)))))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps #s(literal 5 binary64)) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) eps) eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) eps) eps) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64)) (/.f64 x eps))) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* eps (+ 1 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* eps (+ 1 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))

eval32.0ms (0.3%)

Compiler

Compiled 8271 to 870 computations (89.5% saved)

prune53.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2866292
Fresh000
Picked011
Done000
Total2867293
Accuracy
100.0%
Counts
293 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(pow.f64 eps #s(literal 5 binary64))
87.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
84.2%
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
87.5%
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
76.4%
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
80.6%
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
84.1%
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
Compiler

Compiled 203 to 137 computations (32.5% saved)

simplify162.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))
cost-diff128
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)
cost-diff128
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64))
cost-diff128
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff0
(*.f64 eps #s(literal 5 binary64))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff128
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
cost-diff128
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
cost-diff0
(pow.f64 eps #s(literal 5 binary64))
cost-diff0
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
Rules
2956×*-lowering-*.f32
2956×*-lowering-*.f64
2204×sum4-define
2156×sum3-define
1206×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027175
169173
2164173
3484173
41348165
53364165
66377165
08053165
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (pow eps 5) (+ 1 (/ (* 5 x) eps)))
(pow eps 5)
eps
5
(+ 1 (/ (* 5 x) eps))
1
(/ (* 5 x) eps)
(* 5 x)
x
(pow eps 5)
eps
5
(* eps (* 5 (pow x 4)))
eps
(* 5 (pow x 4))
5
(pow x 4)
x
4
(* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x)))
(pow x 4)
x
4
(- (* eps 5) (/ (* (* eps eps) -10) x))
(* eps 5)
eps
5
(/ (* (* eps eps) -10) x)
(* (* eps eps) -10)
(* eps eps)
-10
(* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5))
(+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1)
(/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps)
(- (* 5 x) (/ (* (* x x) -10) eps))
(* 5 x)
5
x
(/ (* (* x x) -10) eps)
(* (* x x) -10)
(* x x)
-10
eps
1
(pow eps 5)
Outputs
(* (pow eps 5) (+ 1 (/ (* 5 x) eps)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
eps
5
#s(literal 5 binary64)
(+ 1 (/ (* 5 x) eps))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))
1
#s(literal 1 binary64)
(/ (* 5 x) eps)
(*.f64 #s(literal 5 binary64) (/.f64 x eps))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
x
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
eps
5
#s(literal 5 binary64)
(* eps (* 5 (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
eps
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
5
#s(literal 5 binary64)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)
(* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x)))
(*.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
4
#s(literal 4 binary64)
(- (* eps 5) (/ (* (* eps eps) -10) x))
(*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))
(* eps 5)
(*.f64 eps #s(literal 5 binary64))
eps
5
#s(literal 5 binary64)
(/ (* (* eps eps) -10) x)
(*.f64 eps (*.f64 #s(literal -10 binary64) (/.f64 eps x)))
(* (* eps eps) -10)
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* eps eps)
(*.f64 eps eps)
-10
#s(literal -10 binary64)
(* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) eps))) eps)))
(+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) eps))) eps))
(/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps)
(/.f64 (*.f64 x (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) eps))) eps)
(- (* 5 x) (/ (* (* x x) -10) eps))
(*.f64 x (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal -10 binary64)) eps)))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
5
#s(literal 5 binary64)
x
(/ (* (* x x) -10) eps)
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* (* x x) -10)
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
-10
#s(literal -10 binary64)
eps
1
#s(literal 1 binary64)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))

localize269.0ms (2.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -10 binary64))
accuracy99.6%
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)
accuracy87.5%
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy78.6%
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)
accuracy99.9%
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))
accuracy99.7%
(*.f64 (*.f64 eps eps) #s(literal -10 binary64))
accuracy99.6%
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
accuracy76.8%
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
accuracy100.0%
(pow.f64 x #s(literal 4 binary64))
accuracy100.0%
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy99.9%
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy100.0%
(pow.f64 eps #s(literal 5 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
accuracy100.0%
(*.f64 #s(literal 5 binary64) x)
accuracy99.6%
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
accuracy99.6%
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
Results
179.0ms225×0valid
29.0ms21×1valid
14.0ms10×2valid
Compiler

Compiled 196 to 28 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-mult: 51.0ms (46% of total)
ival-div: 28.0ms (25.2% of total)
ival-pow: 22.0ms (19.8% of total)
backward-pass: 3.0ms (2.7% of total)
ival-sub: 3.0ms (2.7% of total)
ival-add: 3.0ms (2.7% of total)
const: 1.0ms (0.9% of total)

series36.0ms (0.4%)

Counts
19 → 372
Calls
Call 1
Inputs
#<alt (* (pow eps 5) (+ 1 (/ (* 5 x) eps)))>
#<alt (pow eps 5)>
#<alt (+ 1 (/ (* 5 x) eps))>
#<alt (/ (* 5 x) eps)>
#<alt (* eps (* 5 (pow x 4)))>
#<alt (* 5 (pow x 4))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x)))>
#<alt (- (* eps 5) (/ (* (* eps eps) -10) x))>
#<alt (* eps 5)>
#<alt (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5))>
#<alt (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1)>
#<alt (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps)>
#<alt (- (* 5 x) (/ (* (* x x) -10) eps))>
#<alt (* 5 x)>
#<alt (/ (* (* eps eps) -10) x)>
#<alt (* (* eps eps) -10)>
#<alt (/ (* (* x x) -10) eps)>
#<alt (* (* x x) -10)>
Outputs
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* 5 (/ x eps))>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* 5 eps)>
#<alt (* eps (+ 5 (* 10 (/ eps x))))>
#<alt (* eps (+ 5 (* 10 (/ eps x))))>
#<alt (* eps (+ 5 (* 10 (/ eps x))))>
#<alt (* 10 (/ (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))>
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))>
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))>
#<alt (* 10 (/ (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))>
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))>
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))>
#<alt (* 10 (/ (pow eps 2) x))>
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)>
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)>
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)>
#<alt (* 5 eps)>
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))>
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))>
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))>
#<alt (* 5 eps)>
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))>
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))>
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))>
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))>
#<alt (+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow x 2))) (pow eps 2))>
#<alt (/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2))>
#<alt (/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))>
#<alt (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (* 5 (/ x eps))>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (* 5 (/ x eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* 5 x)>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)>
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)>
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps)>
#<alt (* 5 x)>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (* 5 x)>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* 5 x)>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (/ (pow eps 2) x))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (pow eps 2))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (/ (pow x 2) eps))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
#<alt (* -10 (pow x 2))>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(* eps (* 5 (pow x 4)))
3.0ms
eps
@inf
(* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x)))
2.0ms
eps
@inf
(/ (* (* eps eps) -10) x)
2.0ms
x
@0
(* (pow eps 5) (+ 1 (/ (* 5 x) eps)))
1.0ms
eps
@0
(* (pow eps 5) (+ 1 (/ (* 5 x) eps)))

rewrite429.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
5526×*-lowering-*.f32
5526×*-lowering-*.f64
2812×/-lowering-/.f32
2812×/-lowering-/.f64
2742×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027139
1155137
21364137
08693137
Stop Event
iter limit
node limit
Counts
19 → 420
Calls
Call 1
Inputs
(* (pow eps 5) (+ 1 (/ (* 5 x) eps)))
(pow eps 5)
(+ 1 (/ (* 5 x) eps))
(/ (* 5 x) eps)
(* eps (* 5 (pow x 4)))
(* 5 (pow x 4))
(pow x 4)
(* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x)))
(- (* eps 5) (/ (* (* eps eps) -10) x))
(* eps 5)
(* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5))
(+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1)
(/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps)
(- (* 5 x) (/ (* (* x x) -10) eps))
(* 5 x)
(/ (* (* eps eps) -10) x)
(* (* eps eps) -10)
(/ (* (* x x) -10) eps)
(* (* x x) -10)
Outputs
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(fma.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))
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(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps) (+.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)))) (+.f64 (*.f64 #s(literal 125 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64))
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(*.f64 (+.f64 (*.f64 #s(literal 125 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps) (+.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps))))))
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(*.f64 x #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
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(pow.f64 (/.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(/.f64 (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) #s(literal 1 binary64)) eps)
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) eps)))
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(pow.f64 (/.f64 (/.f64 eps (*.f64 #s(literal -10 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 x x) eps))
(*.f64 (*.f64 x x) (/.f64 #s(literal -10 binary64) eps))
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(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -10 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -10 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -10 binary64) eps) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -10 binary64)))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -10 binary64))
(*.f64 (*.f64 x #s(literal -10 binary64)) x)

simplify218.0ms (2.3%)

Algorithm
egg-herbie
Rules
4638×*-lowering-*.f32
4638×*-lowering-*.f64
1550×fma-define
1400×fma-lowering-fma.f32
1400×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01572883
15132596
215552503
346982470
082542470
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
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(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(pow eps 5)
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(pow eps 5)
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1
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(/ (+ eps (* 5 x)) eps)
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1
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(* 5 (* eps (pow x 4)))
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1
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(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (/ (pow eps 2) x))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (/ (pow x 2) eps))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
(* -10 (pow x 2))
Outputs
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps x)))))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps x)))))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* 5 (* (pow eps 4) x))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(/ (+ eps (* 5 x)) eps)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(/ (+ eps (* 5 x)) eps)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(/ (+ eps (* 5 x)) eps)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(+ 1 (* 5 (/ x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 #s(literal 5 binary64) x) eps)
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))))
(* 5 (* eps (pow x 4)))
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* 10 (* (pow eps 2) (pow x 3)))
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))))
(* 10 (* (pow eps 2) (pow x 3)))
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(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (/ (pow eps 2) x))
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -10 binary64)))
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))
(* -10 (pow x 2))
(*.f64 #s(literal -10 binary64) (*.f64 x x))

eval135.0ms (1.4%)

Compiler

Compiled 18873 to 1564 computations (91.7% saved)

prune111.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New8748882
Fresh011
Picked415
Done011
Total87811889
Accuracy
100.0%
Counts
889 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(pow.f64 eps #s(literal 5 binary64))
87.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
76.4%
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
84.1%
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))
84.2%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
87.4%
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
87.4%
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
87.6%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
84.1%
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
80.6%
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
87.1%
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
Compiler

Compiled 338 to 207 computations (38.8% saved)

simplify171.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
cost-diff256
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps)))
cost-diff256
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
cost-diff0
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64)))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
Rules
2360×*-lowering-*.f32
2360×*-lowering-*.f64
2084×fnmadd-define
1948×--lowering--.f32
1948×--lowering--.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030227
1100205
2315196
31054196
42339192
55625192
08077192
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* eps (* eps eps)) (+ (* 10 (* x x)) (* eps (- eps (* x -5)))))
(* eps (* eps eps))
eps
(* eps eps)
(+ (* 10 (* x x)) (* eps (- eps (* x -5))))
(* 10 (* x x))
10
(* x x)
x
(* eps (- eps (* x -5)))
(- eps (* x -5))
(* x -5)
-5
(* eps (* eps (* eps (* eps eps))))
eps
(* eps (* eps (* eps eps)))
(* eps (* eps eps))
(* eps eps)
(* (* x (* x (* x x))) (* eps 5))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* eps 5)
eps
5
(* (* eps (* eps (* eps eps))) (- eps (* x -5)))
(* eps (* eps (* eps eps)))
eps
(* eps (* eps eps))
(* eps eps)
(- eps (* x -5))
(* x -5)
x
-5
(* eps (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))))
eps
(* (* eps (* eps (* eps eps))) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps)))
(* eps (* eps (* eps eps)))
(* eps (* eps eps))
(* eps eps)
(+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))
1
(/ (* x (+ 5 (/ (* x 10) eps))) eps)
(* x (+ 5 (/ (* x 10) eps)))
x
(+ 5 (/ (* x 10) eps))
5
(/ (* x 10) eps)
(* x 10)
10
Outputs
(* (* eps (* eps eps)) (+ (* 10 (* x x)) (* eps (- eps (* x -5)))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 eps (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))))
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
eps
(* eps eps)
(*.f64 eps eps)
(+ (* 10 (* x x)) (* eps (- eps (* x -5))))
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(* 10 (* x x))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
10
#s(literal 10 binary64)
(* x x)
(*.f64 x x)
x
(* eps (- eps (* x -5)))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))
(- eps (* x -5))
(+.f64 eps (*.f64 x #s(literal 5 binary64)))
(* x -5)
(*.f64 x #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* eps (* eps (* eps (* eps eps))))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
eps
(* eps (* eps (* eps eps)))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(* (* x (* x (* x x))) (* eps 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps x))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* eps 5)
(*.f64 eps #s(literal 5 binary64))
eps
5
#s(literal 5 binary64)
(* (* eps (* eps (* eps eps))) (- eps (* x -5)))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(* eps (* eps (* eps eps)))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
eps
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(- eps (* x -5))
(+.f64 eps (*.f64 x #s(literal 5 binary64)))
(* x -5)
(*.f64 x #s(literal -5 binary64))
x
-5
#s(literal -5 binary64)
(* eps (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 eps (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))))
eps
(* (* eps (* eps (* eps eps))) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 eps (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))))
(* eps (* eps (* eps eps)))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))) eps))
1
#s(literal 1 binary64)
(/ (* x (+ 5 (/ (* x 10) eps))) eps)
(/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))) eps)
(* x (+ 5 (/ (* x 10) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
x
(+ 5 (/ (* x 10) eps))
(+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))
5
#s(literal 5 binary64)
(/ (* x 10) eps)
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* x 10)
(*.f64 #s(literal 10 binary64) x)
10
#s(literal 10 binary64)

localize257.0ms (2.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
accuracy99.6%
(/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps)
accuracy99.6%
(/.f64 (*.f64 x #s(literal 10 binary64)) eps)
accuracy84.9%
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps)))
accuracy99.9%
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
accuracy99.9%
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
accuracy99.9%
(-.f64 eps (*.f64 x #s(literal -5 binary64)))
accuracy99.9%
(*.f64 eps (*.f64 eps eps))
accuracy100.0%
(*.f64 eps #s(literal 5 binary64))
accuracy99.9%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy100.0%
(*.f64 eps eps)
accuracy99.9%
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
accuracy99.9%
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
accuracy99.9%
(*.f64 eps (*.f64 eps eps))
accuracy99.9%
(*.f64 eps (*.f64 eps eps))
accuracy99.8%
(*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))
accuracy99.8%
(*.f64 #s(literal 10 binary64) (*.f64 x x))
accuracy99.7%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
Results
131.0ms230×0valid
39.0ms19×1valid
12.0ms2valid
Compiler

Compiled 278 to 31 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 36.0ms (71.6% of total)
ival-div: 5.0ms (9.9% of total)
ival-add: 4.0ms (8% of total)
backward-pass: 3.0ms (6% of total)
ival-sub: 2.0ms (4% of total)
const: 1.0ms (2% of total)

series25.0ms (0.3%)

Counts
20 → 372
Calls
Call 1
Inputs
#<alt (* (* eps (* eps eps)) (+ (* 10 (* x x)) (* eps (- eps (* x -5)))))>
#<alt (* eps (* eps eps))>
#<alt (* eps eps)>
#<alt (+ (* 10 (* x x)) (* eps (- eps (* x -5))))>
#<alt (* eps (* eps (* eps (* eps eps))))>
#<alt (* eps (* eps (* eps eps)))>
#<alt (* (* x (* x (* x x))) (* eps 5))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* (* eps (* eps (* eps eps))) (- eps (* x -5)))>
#<alt (* eps (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))))>
#<alt (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps)))>
#<alt (* 10 (* x x))>
#<alt (* eps (- eps (* x -5)))>
#<alt (* eps 5)>
#<alt (- eps (* x -5))>
#<alt (/ (* x 10) eps)>
#<alt (/ (* x (+ 5 (/ (* x 10) eps))) eps)>
#<alt (* x (+ 5 (/ (* x 10) eps)))>
Outputs
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))>
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (+ (* 5 (* eps x)) (pow eps 2))>
#<alt (+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))>
#<alt (+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))>
#<alt (* 10 (pow x 2))>
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))>
#<alt (* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))>
#<alt (* 10 (pow x 2))>
#<alt (* (pow x 2) (+ 10 (* 5 (/ eps x))))>
#<alt (* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))>
#<alt (* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))>
#<alt (* 10 (pow x 2))>
#<alt (+ (* 5 (* eps x)) (* 10 (pow x 2)))>
#<alt (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))>
#<alt (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 2) (- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))))>
#<alt (* (pow eps 2) (- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 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 (* 5 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))>
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (pow eps 4)>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (pow eps 4)>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))>
#<alt (* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))>
#<alt (pow eps 4)>
#<alt (+ (* 5 (* (pow eps 3) x)) (pow eps 4))>
#<alt (+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))>
#<alt (+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2)))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 5 (* eps x))>
#<alt (* eps (+ eps (* 5 x)))>
#<alt (* eps (+ eps (* 5 x)))>
#<alt (* eps (+ eps (* 5 x)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (+ (* 5 (* eps x)) (pow eps 2))>
#<alt (+ (* 5 (* eps x)) (pow eps 2))>
#<alt (+ (* 5 (* eps x)) (pow eps 2))>
#<alt (* 5 (* eps x))>
#<alt (* x (+ (* 5 eps) (/ (pow eps 2) x)))>
#<alt (* x (+ (* 5 eps) (/ (pow eps 2) x)))>
#<alt (* x (+ (* 5 eps) (/ (pow eps 2) x)))>
#<alt (* 5 (* eps x))>
#<alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 x)>
#<alt (- eps (* -5 x))>
#<alt (- eps (* -5 x))>
#<alt (- eps (* -5 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 5 (/ x eps))))>
#<alt (* eps (+ 1 (* 5 (/ x eps))))>
#<alt (* eps (+ 1 (* 5 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))>
#<alt eps>
#<alt (+ eps (* 5 x))>
#<alt (+ eps (* 5 x))>
#<alt (+ eps (* 5 x))>
#<alt (* 5 x)>
#<alt (* x (+ 5 (/ eps x)))>
#<alt (* x (+ 5 (/ eps x)))>
#<alt (* x (+ 5 (/ eps x)))>
#<alt (* 5 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (* 5 (/ x eps))>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (* 5 (/ x eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* 5 x)>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)>
#<alt (* 5 x)>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (* 5 x)>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(* x (+ 5 (/ (* x 10) eps)))
2.0ms
x
@inf
(* (* eps (* eps eps)) (+ (* 10 (* x x)) (* eps (- eps (* x -5)))))
1.0ms
x
@inf
(/ (* x 10) eps)
1.0ms
x
@-inf
(/ (* x 10) eps)
0.0ms
eps
@0
(* (* eps (* eps eps)) (+ (* 10 (* x x)) (* eps (- eps (* x -5)))))

rewrite379.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
3534×*-lowering-*.f32
3534×*-lowering-*.f64
2592×/-lowering-/.f32
2592×/-lowering-/.f64
2554×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030155
1163133
21353128
08205128
Stop Event
iter limit
node limit
Counts
20 → 417
Calls
Call 1
Inputs
(* (* eps (* eps eps)) (+ (* 10 (* x x)) (* eps (- eps (* x -5)))))
(* eps (* eps eps))
(* eps eps)
(+ (* 10 (* x x)) (* eps (- eps (* x -5))))
(* eps (* eps (* eps (* eps eps))))
(* eps (* eps (* eps eps)))
(* (* x (* x (* x x))) (* eps 5))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (* eps (* eps (* eps eps))) (- eps (* x -5)))
(* eps (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))))
(* (* eps (* eps (* eps eps))) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps)))
(* 10 (* x x))
(* eps (- eps (* x -5)))
(* eps 5)
(- eps (* x -5))
(/ (* x 10) eps)
(/ (* x (+ 5 (/ (* x 10) eps))) eps)
(* x (+ 5 (/ (* x 10) eps)))
Outputs
(+.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))) (/.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))))
(fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps eps)) eps (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 eps eps)) eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps) (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x x) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) x)) x (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 eps (*.f64 eps eps))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))) (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))) (neg.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))))
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(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
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(*.f64 eps (*.f64 eps eps))
(*.f64 (*.f64 eps eps) eps)
(*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
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(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(*.f64 eps eps)
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(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
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(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(fma.f64 x (*.f64 #s(literal 10 binary64) x) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)) (-.f64 #s(literal 0 binary64) x)) eps))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)) eps))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))) eps))
(*.f64 (/.f64 (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) eps))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)) eps))
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))) #s(literal -1 binary64)) (/.f64 x eps))
(+.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))
(+.f64 (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (-.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)) (-.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))))
(fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))
(fma.f64 x (/.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 x #s(literal 5 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 x #s(literal 5 binary64)))
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) eps) (*.f64 x #s(literal 5 binary64)))
(fma.f64 #s(literal -5 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))
(fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) eps) x) (*.f64 x #s(literal 5 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) x (*.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -5 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)) (*.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps))) (-.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)))
(/.f64 (*.f64 x (+.f64 #s(literal 125 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) #s(literal 5 binary64)) (/.f64 eps (*.f64 #s(literal 10 binary64) x)))))
(/.f64 (*.f64 x (-.f64 #s(literal 25 binary64) (/.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) (/.f64 eps (*.f64 #s(literal 10 binary64) x))))) (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(/.f64 (*.f64 (+.f64 #s(literal 125 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps)))) x) (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) #s(literal 5 binary64)) (/.f64 eps (*.f64 #s(literal 10 binary64) x)))))
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(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(*.f64 (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)) x)

simplify268.0ms (2.9%)

Algorithm
egg-herbie
Rules
3832×*-lowering-*.f32
3832×*-lowering-*.f64
1526×/-lowering-/.f32
1526×/-lowering-/.f64
1386×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01842950
16332603
219382565
338352450
087162450
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
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(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* 10 (pow x 2))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(* 10 (pow x 2))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))))
(* (pow eps 2) (- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
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(pow eps 5)
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(pow eps 4)
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(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
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(* 5 (* eps (pow x 4)))
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(* 5 (* eps (pow x 4)))
(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
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(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(* 5 (* (pow eps 4) x))
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(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
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(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(pow eps 4)
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 4)
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(pow eps 4)
(+ (* 5 (* (pow eps 3) x)) (pow eps 4))
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
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(* 10 (pow x 2))
(* 10 (pow x 2))
(* 10 (pow x 2))
(* 5 (* eps x))
(* eps (+ eps (* 5 x)))
(* eps (+ eps (* 5 x)))
(* eps (+ eps (* 5 x)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(pow eps 2)
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* 5 (* eps x)) (pow eps 2))
(+ (* 5 (* eps x)) (pow eps 2))
(* 5 (* eps x))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* x (+ (* 5 eps) (/ (pow eps 2) x)))
(* 5 (* eps x))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x)))))
(* 5 eps)
(* 5 eps)
(* 5 eps)
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(* 5 eps)
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(* 5 eps)
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(* 5 x)
(- eps (* -5 x))
(- eps (* -5 x))
(- eps (* -5 x))
eps
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
eps
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
eps
(+ eps (* 5 x))
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(* 5 x)
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* x (+ 5 (/ eps x)))
(* 5 x)
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 5 (/ x eps))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(* 5 (/ x eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(* 5 (/ x eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* 5 x)
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
Outputs
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(*.f64 x (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) x) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps))))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 5 binary64) (/.f64 eps x)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 5 binary64) (/.f64 eps x)))))
(* 10 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(*.f64 x (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) x) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps eps))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(*.f64 x (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) x)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(*.f64 x (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) x)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) x)))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 3)
(*.f64 eps (*.f64 eps eps))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(+ (* 5 (* eps x)) (pow eps 2))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2))
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (/.f64 eps x))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (/.f64 eps x)))))
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (/.f64 eps x)))))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(* (pow x 2) (+ 10 (* 5 (/ eps x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (/.f64 eps x))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (/.f64 eps x)))))
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x))))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (/.f64 eps x)))))
(* 10 (pow x 2))
(*.f64 #s(literal 10 binary64) (*.f64 x x))
(+ (* 5 (* eps x)) (* 10 (pow x 2)))
(*.f64 x (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))
(* (pow eps 2) (- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))))))
(* (pow eps 2) (- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 5 (/ x eps))))
(*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps))))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(pow eps 4)
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 5 (* eps (pow x 4)))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.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)
(pow x 2)
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(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 10 (/ x eps))
(/.f64 (*.f64 #s(literal 10 binary64) x) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* 10 (/ (pow x 2) (pow eps 2)))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps eps))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* 10 (/ (pow x 2) (pow eps 2)))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps eps))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* 10 (/ (pow x 2) (pow eps 2)))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/.f64 (*.f64 x (/.f64 (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) eps)) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/.f64 (*.f64 x (/.f64 (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) eps)) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/.f64 (*.f64 x (/.f64 (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) eps)) eps)
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* 5 (/ x eps))
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(*.f64 (/.f64 x eps) (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* x (+ 5 (* 10 (/ x eps))))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* x (+ 5 (* 10 (/ x eps))))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* x (+ 5 (* 10 (/ x eps))))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* 10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 5 binary64) x)))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 5 binary64) x)))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 5 binary64) x)))
(* 10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 5 binary64) x)))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 5 binary64) x)))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 5 binary64) x)))
(* 10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(*.f64 x (/.f64 (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(*.f64 x (/.f64 (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(*.f64 x (/.f64 (+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 5 binary64))) eps))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) x) eps)))

eval140.0ms (1.5%)

Compiler

Compiled 24877 to 1820 computations (92.7% saved)

prune146.0ms (1.6%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New1035111046
Fresh314
Picked235
Done022
Total1040171057
Accuracy
100.0%
Counts
1057 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(pow.f64 eps #s(literal 5 binary64))
61.4%
(/.f64 (*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -5 binary64)) (+.f64 eps (*.f64 x #s(literal -5 binary64))))))
87.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
76.4%
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
84.1%
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)
84.1%
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))
87.3%
(*.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 eps eps))
84.1%
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
87.4%
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
29.5%
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))
29.4%
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))
87.6%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
87.1%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
80.5%
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
87.4%
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
87.1%
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
87.1%
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
Compiler

Compiled 771 to 351 computations (54.5% saved)

simplify156.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
cost-diff256
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps)))
cost-diff256
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 eps #s(literal 5 binary64))
cost-diff0
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
cost-diff0
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
cost-diff0
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
cost-diff0
(*.f64 eps (*.f64 eps eps))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
cost-diff256
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
cost-diff256
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
Rules
2970×*-lowering-*.f32
2970×*-lowering-*.f64
1396×+-lowering-+.f64
1396×+-lowering-+.f32
1248×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031210
1106190
2328184
3992184
41892176
53885176
66283176
77209176
87671176
97979176
08024176
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* eps (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps))))
eps
(* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps)))
(* eps (* eps (* eps eps)))
(* eps (* eps eps))
(* eps eps)
(+ 1 (/ (* x 5) eps))
1
(/ (* x 5) eps)
(* x 5)
x
5
(* eps (* (* eps eps) (* eps eps)))
eps
(* (* eps eps) (* eps eps))
(* eps eps)
(* (* (* eps 5) x) (* x (* x x)))
(* (* eps 5) x)
(* eps 5)
eps
5
x
(* x (* x x))
(* x x)
(* (* (* x (* x (* x x))) 5) eps)
(* (* x (* x (* x x))) 5)
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
5
eps
(* eps (* (* (* eps eps) (* eps eps)) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))))
eps
(* (* (* eps eps) (* eps eps)) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps)))
(* (* eps eps) (* eps eps))
(* eps eps)
(+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))
1
(/ (* x (+ 5 (/ (* x 10) eps))) eps)
(* x (+ 5 (/ (* x 10) eps)))
x
(+ 5 (/ (* x 10) eps))
5
(/ (* x 10) eps)
(* x 10)
10
Outputs
(* eps (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))
eps
(* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 eps (*.f64 x #s(literal 5 binary64))))
(* eps (* eps (* eps eps)))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(+ 1 (/ (* x 5) eps))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 5 binary64) eps)))
1
#s(literal 1 binary64)
(/ (* x 5) eps)
(*.f64 x (/.f64 #s(literal 5 binary64) eps))
(* x 5)
(*.f64 x #s(literal 5 binary64))
x
5
#s(literal 5 binary64)
(* eps (* (* eps eps) (* eps eps)))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
eps
(* (* eps eps) (* eps eps))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(* eps eps)
(*.f64 eps eps)
(* (* (* eps 5) x) (* x (* x x)))
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64))))))
(* (* eps 5) x)
(*.f64 eps (*.f64 x #s(literal 5 binary64)))
(* eps 5)
(*.f64 eps #s(literal 5 binary64))
eps
5
#s(literal 5 binary64)
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* (* (* x (* x (* x x))) 5) eps)
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64))))))
(* (* x (* x (* x x))) 5)
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
5
#s(literal 5 binary64)
eps
(* eps (* (* (* eps eps) (* eps eps)) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 eps (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))))
eps
(* (* (* eps eps) (* eps eps)) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 eps (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))))
(* (* eps eps) (* eps eps))
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
(* eps eps)
(*.f64 eps eps)
(+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))
1
#s(literal 1 binary64)
(/ (* x (+ 5 (/ (* x 10) eps))) eps)
(/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps)
(* x (+ 5 (/ (* x 10) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
x
(+ 5 (/ (* x 10) eps))
(+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))
5
#s(literal 5 binary64)
(/ (* x 10) eps)
(/.f64 (*.f64 x #s(literal 10 binary64)) eps)
(* x 10)
(*.f64 x #s(literal 10 binary64))
10
#s(literal 10 binary64)

localize297.0ms (3.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
accuracy99.6%
(/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps)
accuracy99.6%
(/.f64 (*.f64 x #s(literal 10 binary64)) eps)
accuracy84.9%
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps)))
accuracy100.0%
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))
accuracy100.0%
(*.f64 eps #s(literal 5 binary64))
accuracy99.9%
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 eps #s(literal 5 binary64)) x)
accuracy100.0%
(*.f64 eps eps)
accuracy99.9%
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
accuracy99.8%
(*.f64 (*.f64 eps eps) (*.f64 eps eps))
accuracy99.9%
(*.f64 eps (*.f64 eps (*.f64 eps eps)))
accuracy99.9%
(*.f64 eps (*.f64 eps eps))
accuracy99.6%
(/.f64 (*.f64 x #s(literal 5 binary64)) eps)
accuracy99.4%
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
Results
235.0ms240×0valid
10.0ms11×1valid
7.0ms2valid
Compiler

Compiled 264 to 32 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-mult: 104.0ms (89.3% of total)
ival-div: 6.0ms (5.2% of total)
ival-add: 4.0ms (3.4% of total)
backward-pass: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)

series8.0ms (0.1%)

Counts
20 → 372
Calls
Call 1
Inputs
#<alt (* eps (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps))))>
#<alt (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps)))>
#<alt (* eps (* eps (* eps eps)))>
#<alt (* eps (* eps eps))>
#<alt (* eps (* (* eps eps) (* eps eps)))>
#<alt (* (* eps eps) (* eps eps))>
#<alt (* eps eps)>
#<alt (* (* (* eps 5) x) (* x (* x x)))>
#<alt (* (* eps 5) x)>
#<alt (* eps 5)>
#<alt (* x (* x x))>
#<alt (* (* (* x (* x (* x x))) 5) eps)>
#<alt (* (* x (* x (* x x))) 5)>
#<alt (* x (* x (* x x)))>
#<alt (* eps (* (* (* eps eps) (* eps eps)) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))))>
#<alt (* (* (* eps eps) (* eps eps)) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps)))>
#<alt (/ (* x 5) eps)>
#<alt (/ (* x 10) eps)>
#<alt (/ (* x (+ 5 (/ (* x 10) eps))) eps)>
#<alt (* x (+ 5 (/ (* x 10) eps)))>
Outputs
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* 5 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ eps (* 5 x)))>
#<alt (* (pow eps 3) (+ eps (* 5 x)))>
#<alt (* (pow eps 3) (+ eps (* 5 x)))>
#<alt (pow eps 4)>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 4)>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 4)>
#<alt (+ (* 5 (* (pow eps 3) x)) (pow eps 4))>
#<alt (+ (* 5 (* (pow eps 3) x)) (pow eps 4))>
#<alt (+ (* 5 (* (pow eps 3) x)) (pow eps 4))>
#<alt (* 5 (* (pow eps 3) x))>
#<alt (* x (+ (* 5 (pow eps 3)) (/ (pow eps 4) x)))>
#<alt (* x (+ (* 5 (pow eps 3)) (/ (pow eps 4) x)))>
#<alt (* x (+ (* 5 (pow eps 3)) (/ (pow eps 4) x)))>
#<alt (* 5 (* (pow eps 3) x))>
#<alt (* -1 (* x (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x)))))>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))>
#<alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))>
#<alt (pow eps 4)>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))>
#<alt (pow eps 4)>
#<alt (* (pow eps 4) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))>
#<alt (* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))>
#<alt (pow eps 4)>
#<alt (+ (* 5 (* (pow eps 3) x)) (pow eps 4))>
#<alt (+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))>
#<alt (+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2)))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 10 (/ x eps))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))>
#<alt (* 10 (/ (pow x 2) (pow eps 2)))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))>
#<alt (* 5 (/ x eps))>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)>
#<alt (* 5 (/ x eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))>
#<alt (* 5 x)>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* x (+ 5 (* 10 (/ x eps))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))>
#<alt (* 10 (/ (pow x 2) eps))>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)>
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)>
#<alt (* 5 x)>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (* 5 x)>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
#<alt (+ (* 5 x) (* 10 (/ (pow x 2) eps)))>
Calls

93 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* (* eps 5) x)
0.0ms
x
@0
(* (* eps 5) x)
0.0ms
x
@-inf
(* (* eps 5) x)
0.0ms
x
@-inf
(* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps)))
0.0ms
x
@0
(* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps)))

rewrite333.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
3802×*-lowering-*.f32
3802×*-lowering-*.f64
3752×/-lowering-/.f32
3752×/-lowering-/.f64
2340×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031147
1163125
21206125
08231125
Stop Event
iter limit
node limit
Counts
20 → 458
Calls
Call 1
Inputs
(* eps (* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps))))
(* (* eps (* eps (* eps eps))) (+ 1 (/ (* x 5) eps)))
(* eps (* eps (* eps eps)))
(* eps (* eps eps))
(* eps (* (* eps eps) (* eps eps)))
(* (* eps eps) (* eps eps))
(* eps eps)
(* (* (* eps 5) x) (* x (* x x)))
(* (* eps 5) x)
(* eps 5)
(* x (* x x))
(* (* (* x (* x (* x x))) 5) eps)
(* (* x (* x (* x x))) 5)
(* x (* x (* x x)))
(* eps (* (* (* eps eps) (* eps eps)) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps))))
(* (* (* eps eps) (* eps eps)) (+ 1 (/ (* x (+ 5 (/ (* x 10) eps))) eps)))
(/ (* x 5) eps)
(/ (* x 10) eps)
(/ (* x (+ 5 (/ (* x 10) eps))) eps)
(* x (+ 5 (/ (* x 10) eps)))
Outputs
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))))
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(fma.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64)) (/.f64 eps (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (/.f64 eps (*.f64 x #s(literal 5 binary64))))))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64)) (/.f64 eps (*.f64 x #s(literal 5 binary64))))))
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (/.f64 eps (*.f64 x #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64)) (/.f64 eps (*.f64 x #s(literal 5 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (/.f64 eps (*.f64 x #s(literal 5 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))) eps)
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))
(*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(+.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(-.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))))
(fma.f64 eps (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps eps) (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 x (*.f64 (/.f64 #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) eps (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 eps eps))) eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) eps) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps eps)) (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) (/.f64 #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 (-.f64 #s(literal 25 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) (/.f64 eps (*.f64 x #s(literal 10 binary64))))) x)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1000 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64))))) (*.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))))) (-.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1000 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (/.f64 eps (*.f64 x #s(literal 10 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 25 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) (/.f64 eps (*.f64 x #s(literal 10 binary64)))))) (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(/.f64 (*.f64 (+.f64 #s(literal 125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1000 binary64) (*.f64 eps (*.f64 eps eps))))) x) (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (/.f64 eps (*.f64 x #s(literal 10 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 25 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) (/.f64 eps (*.f64 x #s(literal 10 binary64))))) x) (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1000 binary64) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64))))) (*.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64))))))) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1000 binary64) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (/.f64 eps (*.f64 x #s(literal 10 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 25 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) (/.f64 eps (*.f64 x #s(literal 10 binary64))))))) (neg.f64 (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1000 binary64) (*.f64 eps (*.f64 eps eps))))) x)) (neg.f64 (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (/.f64 eps (*.f64 x #s(literal 10 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 25 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 10 binary64)) eps) (/.f64 eps (*.f64 x #s(literal 10 binary64))))) x)) (neg.f64 (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1000 binary64) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (+.f64 (*.f64 (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))) (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 (/.f64 x (/.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 x #s(literal 5 binary64))))))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(*.f64 (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)) x)

simplify245.0ms (2.6%)

Algorithm
egg-herbie
Rules
4928×*-lowering-*.f32
4928×*-lowering-*.f64
1734×fma-define
1432×fma-lowering-fma.f32
1432×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01502549
15042363
215282347
347242334
085782334
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 5 (* (pow eps 3) x))
(* (pow eps 3) (+ eps (* 5 x)))
(* (pow eps 3) (+ eps (* 5 x)))
(* (pow eps 3) (+ eps (* 5 x)))
(pow eps 4)
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(pow eps 4)
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(pow eps 4)
(+ (* 5 (* (pow eps 3) x)) (pow eps 4))
(+ (* 5 (* (pow eps 3) x)) (pow eps 4))
(+ (* 5 (* (pow eps 3) x)) (pow eps 4))
(* 5 (* (pow eps 3) x))
(* x (+ (* 5 (pow eps 3)) (/ (pow eps 4) x)))
(* x (+ (* 5 (pow eps 3)) (/ (pow eps 4) x)))
(* x (+ (* 5 (pow eps 3)) (/ (pow eps 4) x)))
(* 5 (* (pow eps 3) x))
(* -1 (* x (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x)))))
(* -1 (* x (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x)))))
(* -1 (* x (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x)))))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2)))))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))
(pow eps 4)
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))
(pow eps 4)
(* (pow eps 4) (+ 1 (* 5 (/ x eps))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))))
(pow eps 4)
(+ (* 5 (* (pow eps 3) x)) (pow eps 4))
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2)))))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2)))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 5 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 10 (/ x eps))
(* 5 (/ x eps))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))
(* 10 (/ (pow x 2) (pow eps 2)))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2))
(* 5 (/ x eps))
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)
(* 5 (/ x eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))
(* 5 x)
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* x (+ 5 (* 10 (/ x eps))))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) eps))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(* 10 (/ (pow x 2) eps))
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(* 5 x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
Outputs
(* 5 (* (pow eps 4) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 eps (*.f64 #s(literal 5 binary64) x)))
(pow eps 5)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
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(* 10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(* 10 (/ (pow x 2) eps))
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x #s(literal 10 binary64)))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x #s(literal 10 binary64)))) eps)
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps)
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x #s(literal 10 binary64)))) eps)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(+ (* 5 x) (* 10 (/ (pow x 2) eps)))
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps)))

eval131.0ms (1.4%)

Compiler

Compiled 20763 to 1749 computations (91.6% saved)

prune81.0ms (0.9%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New9603963
Fresh167
Picked235
Done055
Total96317980
Accuracy
100.0%
Counts
980 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(pow.f64 eps #s(literal 5 binary64))
61.4%
(/.f64 (*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -5 binary64)) (+.f64 eps (*.f64 x #s(literal -5 binary64))))))
87.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
76.4%
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
84.1%
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))
87.3%
(*.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 eps eps))
84.1%
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
87.4%
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
29.5%
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))
29.4%
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))
87.6%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
87.1%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
84.2%
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
80.5%
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
87.4%
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
87.1%
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
87.1%
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
Compiler

Compiled 966 to 320 computations (66.9% saved)

regimes29.0ms (0.3%)

Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(*.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 eps eps))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -5 binary64)) (+.f64 eps (*.f64 x #s(literal -5 binary64))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
Calls

3 calls:

10.0ms
eps
8.0ms
x
7.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Results
AccuracySegmentsBranch
98.9%3x
98.1%3eps
99.9%3(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes37.0ms (0.4%)

Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(*.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 eps eps))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -5 binary64)) (+.f64 eps (*.f64 x #s(literal -5 binary64))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
Outputs
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
Calls

1 calls:

34.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(*.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 eps eps))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 (*.f64 x #s(literal 10 binary64)) eps))) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -5 binary64)) (+.f64 eps (*.f64 x #s(literal -5 binary64))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps (*.f64 x #s(literal 5 binary64))) (+.f64 eps (*.f64 x #s(literal 5 binary64))))))) (*.f64 (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64))))))))
(pow.f64 eps #s(literal 5 binary64))
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
Outputs
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64))))))
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(*.f64 (*.f64 (*.f64 eps (+.f64 eps (*.f64 x #s(literal 5 binary64)))) eps) (*.f64 eps eps))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))
Outputs
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64))))
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)
Outputs
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
Outputs
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
Outputs
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.1b remaining (-0.7%)

Threshold costs -0.1b (-0.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))
Outputs
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
87.1%1eps
87.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0397051038701497e-250
0.0ms
-4.63059466678079e-309
0.0
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch65.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.3470036165808648e-62
8.285532523712456e-62
50.0ms
-1.5877015722031147e-50
-1.996575268243821e-55
Results
43.0ms116×1valid
11.0ms124×0valid
Compiler

Compiled 436 to 296 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pow: 34.0ms (83.5% of total)
ival-add: 2.0ms (4.9% of total)
ival-sub: 2.0ms (4.9% of total)
backward-pass: 2.0ms (4.9% of total)
const: 0.0ms (0% of total)

bsearch53.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.3470036165808648e-62
8.285532523712456e-62
35.0ms
-1.5877015722031147e-50
-1.996575268243821e-55
Results
27.0ms117×1valid
10.0ms123×0valid
Compiler

Compiled 556 to 356 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 18.0ms (74.8% of total)
ival-add: 2.0ms (8.3% of total)
ival-sub: 2.0ms (8.3% of total)
backward-pass: 2.0ms (8.3% of total)
const: 0.0ms (0% of total)

bsearch49.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3470036165808648e-62
8.285532523712456e-62
34.0ms
-1.5877015722031147e-50
-1.996575268243821e-55
Results
27.0ms118×1valid
10.0ms122×0valid
Compiler

Compiled 466 to 296 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow: 19.0ms (74% of total)
ival-add: 2.0ms (7.8% of total)
ival-sub: 2.0ms (7.8% of total)
backward-pass: 2.0ms (7.8% of total)
const: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3470036165808648e-62
8.285532523712456e-62
34.0ms
-1.5877015722031147e-50
-1.996575268243821e-55
Results
26.0ms118×1valid
10.0ms122×0valid
Compiler

Compiled 406 to 251 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 18.0ms (74% of total)
ival-add: 2.0ms (8.2% of total)
ival-sub: 2.0ms (8.2% of total)
backward-pass: 2.0ms (8.2% of total)
const: 0.0ms (0% of total)

bsearch50.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.3470036165808648e-62
8.285532523712456e-62
37.0ms
-1.5877015722031147e-50
-1.996575268243821e-55
Results
30.0ms121×1valid
10.0ms119×0valid
Compiler

Compiled 406 to 251 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow: 19.0ms (74.5% of total)
ival-add: 2.0ms (7.8% of total)
ival-sub: 2.0ms (7.8% of total)
backward-pass: 2.0ms (7.8% of total)
const: 0.0ms (0% of total)

bsearch55.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3470036165808648e-62
8.285532523712456e-62
41.0ms
-1.5877015722031147e-50
-1.996575268243821e-55
Results
34.0ms123×1valid
10.0ms117×0valid
Compiler

Compiled 406 to 251 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-pow: 18.0ms (61.7% of total)
ival-add: 7.0ms (24% of total)
ival-sub: 2.0ms (6.9% of total)
backward-pass: 2.0ms (6.9% of total)
const: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
48×*-commutative_binary64
18×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073294
1111294
2125294
3133294
4138294
5139294
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -404804506614621/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))))
(if (<=.f64 x #s(literal -15838968666951/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -4583190933415609/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64)))))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -1449097133359347/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64)))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -4178791733408349/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1128972870063833/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -7117425920127769/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps) (if (<=.f64 x #s(literal 7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))
Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -404804506614621/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -404804506614621/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))))
(if (<=.f64 x #s(literal -15838968666951/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -15838968666951/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal -4583190933415609/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64)))))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -4583190933415609/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal -5 binary64)))))) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal -1449097133359347/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 eps (*.f64 x #s(literal -5 binary64)))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -1449097133359347/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 (-.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (if (<=.f64 x #s(literal 578960446186581/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal -4178791733408349/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1128972870063833/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64))))))
(if (<=.f64 x #s(literal -4178791733408349/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 1128972870063833/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal -7117425920127769/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps) (if (<=.f64 x #s(literal 7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)))
(if (<=.f64 x #s(literal -7117425920127769/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))

soundness2.0s (21.7%)

Rules
6700×*-lowering-*.f32
6700×*-lowering-*.f64
5526×*-lowering-*.f32
5526×*-lowering-*.f64
4638×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027139
1155137
21364137
08693137
02451285
19071121
23658962
08496962
01572883
15132596
215552503
346982470
082542470
031147
1163125
21206125
08231125
030155
1163133
21353128
08205128
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 868 to 434 computations (50% saved)

preprocess50.0ms (0.5%)

Compiler

Compiled 654 to 160 computations (75.5% saved)

end0.0ms (0%)

Profiling

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