Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D

Time bar (total: 9.4s)

analyze4.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 19 to 15 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (52.9% of total)
ival-mult: 1.0ms (52.9% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (13.9%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 806.0ms
ival-sub: 348.0ms (43.2% of total)
ival-mult: 234.0ms (29% of total)
ival-add: 138.0ms (17.1% of total)
ival-div: 60.0ms (7.4% of total)
const: 24.0ms (3% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess205.0ms (2.2%)

Algorithm
egg-herbie
Rules
1400×accelerator-lowering-fma.f32
1400×accelerator-lowering-fma.f64
618×distribute-rgt-in
584×*-lowering-*.f32
584×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02460
15154
212852
335451
489751
5165951
6232751
7340851
8380351
9392851
10395151
11396251
12400251
13442551
01417
12417
24017
38417
418217
536317
661517
799117
8157517
9208017
10223917
11229517
12232817
13233117
14233117
0233114
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
Outputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
Call 2
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))))
Outputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(+ x (/ (+ (* x -27061/100000) -230753/100000) (- 1 (* x (- -99229/100000 (* x 4481/100000))))))
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))
(- (/ (+ 230753/100000 (* x -27061/100000)) (+ -1 (* x (- 99229/100000 (* x 4481/100000))))) x)
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))))
(+ x (/ (+ 230753/100000 (* x -27061/100000)) (- 1 (* x (- 99229/100000 (* x 4481/100000))))))

explain279.0ms (3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-0-(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
00-0-#s(literal 230753/100000 binary64)
00-0-x
00-0-(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)
00-0-#s(literal 4481/100000 binary64)
00-0-#s(literal 27061/100000 binary64)
00-0-(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))
00-0-(*.f64 x #s(literal 27061/100000 binary64))
00-0-(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
00-0-#s(literal 99229/100000 binary64)
00-0-(*.f64 x #s(literal 4481/100000 binary64))
Results
146.0ms512×0valid
Compiler

Compiled 162 to 126 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 50.0ms (45.7% of total)
ival-add: 27.0ms (24.7% of total)
ival-sub: 19.0ms (17.4% of total)
ival-div: 7.0ms (6.4% of total)
const: 6.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 14 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize211.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 27061/100000 binary64))
cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
cost-diff0
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
accuracy99.9%
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)
accuracy99.5%
(*.f64 x #s(literal 4481/100000 binary64))
accuracy99.4%
(*.f64 x #s(literal 27061/100000 binary64))
accuracy75.4%
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
Rules
1400×accelerator-lowering-fma.f32
1400×accelerator-lowering-fma.f64
584×*-lowering-*.f32
584×*-lowering-*.f64
344×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
12470
24070
38470
418270
536370
661570
799170
8157570
9208070
10223970
11229570
12232870
13233170
14233170
0233159
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
27061/100000
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))
1
(* (+ 99229/100000 (* x 4481/100000)) x)
(+ 99229/100000 (* x 4481/100000))
99229/100000
(* x 4481/100000)
4481/100000
Outputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64)))))
(+ 230753/100000 (* x 27061/100000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
27061/100000
#s(literal 27061/100000 binary64)
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64))))
1
#s(literal 1 binary64)
(* (+ 99229/100000 (* x 4481/100000)) x)
(*.f64 x (-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64)))
(+ 99229/100000 (* x 4481/100000))
(-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(* x 4481/100000)
(*.f64 x #s(literal 4481/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
Results
68.0ms256×0valid
Compiler

Compiled 72 to 56 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 27.0ms (54.3% of total)
ival-add: 15.0ms (30.1% of total)
ival-div: 3.0ms (6% of total)
const: 3.0ms (6% of total)
ival-sub: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))>
#<alt (* x 27061/100000)>
#<alt (* x 4481/100000)>
#<alt (* (+ 99229/100000 (* x 4481/100000)) x)>
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))>
#<alt (+ 230753/100000 (* x 27061/100000))>
Outputs
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* (+ 99229/100000 (* x 4481/100000)) x)
0.0ms
x
@inf
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
0.0ms
x
@0
(* x 27061/100000)
0.0ms
x
@-inf
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
0.0ms
x
@inf
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))

rewrite673.0ms (7.2%)

Algorithm
batch-egg-rewrite
Rules
6906×accelerator-lowering-fma.f32
6906×accelerator-lowering-fma.f64
5346×*-lowering-*.f32
5346×*-lowering-*.f64
4052×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
18450
273050
0840842
Stop Event
iter limit
node limit
Counts
6 → 336
Calls
Call 1
Inputs
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
(* x 27061/100000)
(* x 4481/100000)
(* (+ 99229/100000 (* x 4481/100000)) x)
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(+ 230753/100000 (* x 27061/100000))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal 27061/100000 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) #s(literal 230753/100000 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) (*.f64 x (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) (*.f64 x (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal -1 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x x))))) (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)))))
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(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64) #s(literal 230753/100000 binary64))
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(fma.f64 #s(literal 53246947009/10000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
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(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))
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(*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))
(*.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)))))))
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(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))

simplify578.0ms (6.2%)

Algorithm
egg-herbie
Rules
9790×accelerator-lowering-fma.f32
9790×accelerator-lowering-fma.f64
3342×*-lowering-*.f32
3342×*-lowering-*.f64
1658×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122432
1337424
2808420
32006384
46565384
08459354
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 x (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 x (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 x (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))

eval218.0ms (2.3%)

Compiler

Compiled 15300 to 11435 computations (25.3% saved)

prune61.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New39810408
Fresh000
Picked011
Done000
Total39811409
Accuracy
100.0%
Counts
409 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
52.1%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
98.8%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
53.1%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
56.9%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x)))
98.2%
(-.f64 x #s(literal 230753/100000 binary64))
49.7%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
56.9%
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
53.2%
x
49.0%
#s(literal -230753/100000 binary64)
Compiler

Compiled 170 to 128 computations (24.7% saved)

localize333.0ms (3.5%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
cost-diff0
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
cost-diff0
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
cost-diff0
(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff0
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
cost-diff0
(-.f64 x #s(literal 230753/100000 binary64))
cost-diff0
(*.f64 x #s(literal 27061/100000 binary64))
cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))
cost-diff0
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
accuracy100.0%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
accuracy100.0%
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
accuracy99.7%
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
accuracy99.6%
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
accuracy100.0%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
accuracy99.5%
(/.f64 #s(literal 27061/4481 binary64) x)
accuracy100.0%
(-.f64 x #s(literal 230753/100000 binary64))
accuracy100.0%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
accuracy99.9%
(*.f64 x #s(literal 99229/100000 binary64))
accuracy99.9%
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))
accuracy99.4%
(*.f64 x #s(literal 27061/100000 binary64))
Rules
1576×accelerator-lowering-fma.f32
1576×accelerator-lowering-fma.f64
680×*-lowering-*.f32
680×*-lowering-*.f64
360×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02284
14484
27884
310984
416684
527084
640784
775084
8153584
9208784
10226784
11234684
12240684
13241784
14241984
0241974
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
27061/100000
(+ 1 (* x 99229/100000))
1
(* x 99229/100000)
99229/100000
-230753/100000
(- x 230753/100000)
(- x (/ 27061/4481 x))
(/ 27061/4481 x)
27061/4481
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))
30191289437/10000000000
(* x -1900161040244073/1000000000000000)
-1900161040244073/1000000000000000
Outputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))
(+ 230753/100000 (* x 27061/100000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
27061/100000
#s(literal 27061/100000 binary64)
(+ 1 (* x 99229/100000))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))
1
#s(literal 1 binary64)
(* x 99229/100000)
(*.f64 x #s(literal 99229/100000 binary64))
99229/100000
#s(literal 99229/100000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
(- x (/ 27061/4481 x))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
27061/4481
#s(literal 27061/4481 binary64)
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))))
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
(* x -1900161040244073/1000000000000000)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
-1900161040244073/1000000000000000
#s(literal -1900161040244073/1000000000000000 binary64)
Results
137.0ms256×0valid
Compiler

Compiled 91 to 68 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 26.0ms (36.8% of total)
ival-div: 24.0ms (34% of total)
ival-add: 11.0ms (15.6% of total)
ival-sub: 5.0ms (7.1% of total)
const: 4.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (* x 27061/100000)>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))>
#<alt (* x 99229/100000)>
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (- x 230753/100000)>
#<alt (/ 27061/4481 x)>
#<alt (- x (/ 27061/4481 x))>
#<alt (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))>
#<alt (* x -1900161040244073/1000000000000000)>
#<alt (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))>
#<alt (+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)>
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))))>
Outputs
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))>
#<alt (- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))>
#<alt (+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* 99229/100000 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt -230753/100000>
#<alt (- x 230753/100000)>
#<alt (- x 230753/100000)>
#<alt (- x 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ -27061/4481 x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))>
#<alt (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))>
#<alt (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))>
#<alt (* -1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* -1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt 30191289437/10000000000>
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (* -1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))>
#<alt (* -1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 27061/4481 x)
0.0ms
x
@-inf
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
0.0ms
x
@0
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
0.0ms
x
@inf
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
0.0ms
x
@inf
(* x -1900161040244073/1000000000000000)

rewrite712.0ms (7.6%)

Algorithm
batch-egg-rewrite
Rules
6272×accelerator-lowering-fma.f32
6272×accelerator-lowering-fma.f64
4300×/-lowering-/.f32
4300×/-lowering-/.f64
3960×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02270
114370
2122870
0853961
Stop Event
iter limit
node limit
Counts
12 → 384
Calls
Call 1
Inputs
(* x 27061/100000)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))
(* x 99229/100000)
(+ 230753/100000 (* x 27061/100000))
(- x 230753/100000)
(/ 27061/4481 x)
(- x (/ 27061/4481 x))
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
(* x -1900161040244073/1000000000000000)
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))))
Outputs
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 #s(literal 27061/100000 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x)) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))
(/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64))) (*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))))
(/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -27061/100000 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (*.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))
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(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))

simplify493.0ms (5.2%)

Algorithm
egg-herbie
Rules
8622×accelerator-lowering-fma.f32
8622×accelerator-lowering-fma.f64
3060×*-lowering-*.f32
3060×*-lowering-*.f64
2520×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145708
1397698
2950668
32735644
46616644
08088590
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
-230753/100000
(- x 230753/100000)
(- x 230753/100000)
(- x 230753/100000)
x
(* x (- 1 (* 230753/100000 (/ 1 x))))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(* x (- 1 (* 230753/100000 (/ 1 x))))
x
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ -27061/4481 x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
(* -1900161040244073/1000000000000000 x)
30191289437/10000000000
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(* -1900161040244073/1000000000000000 x)
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* -1900161040244073/1000000000000000 x)
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))
Outputs
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64)))))))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
x
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ -27061/4481 x)
(/.f64 #s(literal -27061/4481 binary64) x)
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (-.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))) x))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))))) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(+.f64 x #s(literal -27061/99229 binary64))
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))
(+.f64 #s(literal -27061/99229 binary64) (-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))
(+.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x) #s(literal 20191289437/9846394441 binary64)) x) #s(literal -27061/99229 binary64)))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(+.f64 x #s(literal -27061/99229 binary64))
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))
(+.f64 #s(literal -27061/99229 binary64) (-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))
(+.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x) #s(literal 20191289437/9846394441 binary64)) x) #s(literal -27061/99229 binary64)))

eval158.0ms (1.7%)

Compiler

Compiled 12854 to 9043 computations (29.6% saved)

prune63.0ms (0.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New5262528
Fresh145
Picked145
Done011
Total52811539
Accuracy
100.0%
Counts
539 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
52.1%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
53.1%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
56.9%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
98.2%
(-.f64 x #s(literal 230753/100000 binary64))
58.9%
(-.f64 x #s(literal 27061/99229 binary64))
49.7%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
56.9%
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
53.2%
x
49.0%
#s(literal -230753/100000 binary64)
Compiler

Compiled 128 to 95 computations (25.8% saved)

localize188.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1651231776/20079361 binary64) x)
cost-diff0
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
cost-diff0
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
cost-diff0
(*.f64 x #s(literal -20191289437/10000000000 binary64))
cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
cost-diff128
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
cost-diff0
(*.f64 x #s(literal 30191289437/10000000000 binary64))
cost-diff0
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
cost-diff0
(-.f64 x #s(literal 27061/99229 binary64))
accuracy100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
accuracy100.0%
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
accuracy99.7%
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
accuracy99.4%
(/.f64 #s(literal -1651231776/20079361 binary64) x)
accuracy100.0%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
accuracy99.9%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
accuracy99.1%
(*.f64 x #s(literal -20191289437/10000000000 binary64))
accuracy100.0%
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
accuracy99.5%
(*.f64 x #s(literal 30191289437/10000000000 binary64))
accuracy100.0%
(-.f64 x #s(literal 27061/99229 binary64))
Rules
1024×accelerator-lowering-fma.f32
1024×accelerator-lowering-fma.f64
416×*-lowering-*.f32
416×*-lowering-*.f64
256×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
13256
25956
310256
418456
529256
655656
792856
8134256
9151856
10154256
11154956
0154953
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x 27061/99229)
x
27061/99229
(+ (* x 30191289437/10000000000) -230753/100000)
(* x 30191289437/10000000000)
30191289437/10000000000
-230753/100000
(- x (+ 230753/100000 (* x -20191289437/10000000000)))
(+ 230753/100000 (* x -20191289437/10000000000))
230753/100000
(* x -20191289437/10000000000)
-20191289437/10000000000
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
27061/4481
(/ -1651231776/20079361 x)
-1651231776/20079361
Outputs
(- x 27061/99229)
(+.f64 x #s(literal -27061/99229 binary64))
x
27061/99229
#s(literal 27061/99229 binary64)
(+ (* x 30191289437/10000000000) -230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x 30191289437/10000000000)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
(- x (+ 230753/100000 (* x -20191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(+ 230753/100000 (* x -20191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x -20191289437/10000000000)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)
Results
62.0ms256×0valid
Compiler

Compiled 64 to 45 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 10.0ms (29.1% of total)
ival-mult: 10.0ms (29.1% of total)
ival-add: 8.0ms (23.3% of total)
ival-sub: 4.0ms (11.6% of total)
const: 3.0ms (8.7% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (- x 27061/99229)>
#<alt (* x 30191289437/10000000000)>
#<alt (+ (* x 30191289437/10000000000) -230753/100000)>
#<alt (* x -20191289437/10000000000)>
#<alt (- x (+ 230753/100000 (* x -20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x -20191289437/10000000000))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)>
#<alt (+ 27061/4481 (/ -1651231776/20079361 x))>
#<alt (- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))>
Outputs
#<alt -27061/99229>
#<alt (- x 27061/99229)>
#<alt (- x 27061/99229)>
#<alt (- x 27061/99229)>
#<alt x>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* 30191289437/10000000000 x)>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (/ 1651231776/20079361 (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms
x
@-inf
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms
x
@inf
(* x -20191289437/10000000000)
0.0ms
x
@inf
(* x 30191289437/10000000000)
0.0ms
x
@-inf
(* x -20191289437/10000000000)

rewrite597.0ms (6.3%)

Algorithm
batch-egg-rewrite
Rules
5000×accelerator-lowering-fma.f32
5000×accelerator-lowering-fma.f64
4198×/-lowering-/.f32
4198×/-lowering-/.f64
3772×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
112250
2104050
0850147
Stop Event
iter limit
node limit
Counts
10 → 356
Calls
Call 1
Inputs
(- x 27061/99229)
(* x 30191289437/10000000000)
(+ (* x 30191289437/10000000000) -230753/100000)
(* x -20191289437/10000000000)
(- x (+ 230753/100000 (* x -20191289437/10000000000)))
(+ 230753/100000 (* x -20191289437/10000000000))
(/ -1651231776/20079361 x)
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
Outputs
(+.f64 x #s(literal -27061/99229 binary64))
(+.f64 #s(literal -27061/99229 binary64) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64))))) (neg.f64 (/.f64 #s(literal 19816708627981/977047873985989 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64)))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 27061/99229 binary64))) (neg.f64 (/.f64 #s(literal 732297721/9846394441 binary64) (+.f64 x #s(literal 27061/99229 binary64)))))
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64))))) (/.f64 #s(literal 19816708627981/977047873985989 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x #s(literal 27061/99229 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 27061/99229 binary64))) (/.f64 #s(literal 732297721/9846394441 binary64) (+.f64 x #s(literal 27061/99229 binary64))))
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simplify833.0ms (8.9%)

Algorithm
egg-herbie
Rules
4764×accelerator-lowering-fma.f32
4764×accelerator-lowering-fma.f64
3120×*-lowering-*.f32
3120×*-lowering-*.f64
948×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076574
1182574
2427522
3967506
42922506
54336500
65193500
75981500
86687500
97182500
107460500
117846500
08168473
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
-27061/99229
(- x 27061/99229)
(- x 27061/99229)
(- x 27061/99229)
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(* x (- 1 (* 27061/99229 (/ 1 x))))
(* x (- 1 (* 27061/99229 (/ 1 x))))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* -20191289437/10000000000 x))
(* -20191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* -20191289437/10000000000 x)
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/ -1651231776/20079361 x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(/ 1651231776/20079361 (pow x 2))
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
Outputs
-27061/99229
#s(literal -27061/99229 binary64)
(- x 27061/99229)
(+.f64 x #s(literal -27061/99229 binary64))
(- x 27061/99229)
(+.f64 x #s(literal -27061/99229 binary64))
(- x 27061/99229)
(+.f64 x #s(literal -27061/99229 binary64))
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(+.f64 x #s(literal -27061/99229 binary64))
(* x (- 1 (* 27061/99229 (/ 1 x))))
(+.f64 x #s(literal -27061/99229 binary64))
(* x (- 1 (* 27061/99229 (/ 1 x))))
(+.f64 x #s(literal -27061/99229 binary64))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(+.f64 x #s(literal -27061/99229 binary64))
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(+.f64 x #s(literal -27061/99229 binary64))
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(+.f64 x #s(literal -27061/99229 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 (pow x 2))
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/ 1651231776/20079361 (pow x 2))
(/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x x))
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) x)) x)
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) x)) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))

eval121.0ms (1.3%)

Compiler

Compiled 10122 to 6865 computations (32.2% saved)

prune64.0ms (0.7%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New4760476
Fresh011
Picked055
Done055
Total47611487
Accuracy
100.0%
Counts
487 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
52.1%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
53.1%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
56.9%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
98.2%
(-.f64 x #s(literal 230753/100000 binary64))
58.9%
(-.f64 x #s(literal 27061/99229 binary64))
49.7%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
56.9%
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
53.2%
x
49.0%
#s(literal -230753/100000 binary64)
Compiler

Compiled 84 to 63 computations (25% saved)

localize317.0ms (3.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
cost-diff0
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
cost-diff0
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
cost-diff0
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
accuracy100.0%
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
accuracy99.7%
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
accuracy99.7%
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
accuracy99.6%
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
Rules
2768×accelerator-lowering-fma.f32
2768×accelerator-lowering-fma.f64
752×*-lowering-*.f32
752×*-lowering-*.f64
646×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01052
11452
22352
33852
46752
511652
620452
748852
8128352
9247752
10353252
11388952
12390152
13390352
14390352
15394352
16395952
0395952
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x))
x
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
27061/4481
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361)
(/ 151724043800704/89975616641 x)
151724043800704/89975616641
-1651231776/20079361
Outputs
(- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x))
(+.f64 x (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x))
x
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
27061/4481
#s(literal 27061/4481 binary64)
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361)
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
151724043800704/89975616641
#s(literal 151724043800704/89975616641 binary64)
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)
Results
75.0ms256×0valid
Compiler

Compiled 54 to 40 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 21.0ms (62.8% of total)
ival-add: 9.0ms (26.9% of total)
const: 2.0ms (6% of total)
ival-sub: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)>
#<alt (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))>
#<alt (- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x))>
Outputs
#<alt (/ 151724043800704/89975616641 (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)>
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)>
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))>
#<alt (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))>
#<alt (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (/ 151724043800704/89975616641 (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))>
#<alt (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))>
#<alt (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))>
#<alt (/ -151724043800704/89975616641 (pow x 3))>
#<alt (/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 3))>
#<alt (/ (- (* x (+ 1651231776/20079361 (* -27061/4481 x))) 151724043800704/89975616641) (pow x 3))>
#<alt (/ (- (* x (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))) 151724043800704/89975616641) (pow x 3))>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
2.0ms
x
@inf
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
0.0ms
x
@-inf
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
0.0ms
x
@0
(/ 151724043800704/89975616641 x)
0.0ms
x
@0
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)

rewrite997.0ms (10.6%)

Algorithm
batch-egg-rewrite
Rules
5158×accelerator-lowering-fma.f32
5158×accelerator-lowering-fma.f64
4770×*-lowering-*.f32
4770×*-lowering-*.f64
4388×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
17443
268643
0853843
Stop Event
iter limit
node limit
Counts
5 → 341
Calls
Call 1
Inputs
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(/ 151724043800704/89975616641 x)
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
(- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x))
Outputs
(+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(+.f64 (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))) x) (/.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))) x))
(-.f64 (/.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (*.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))))
(fma.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1651231776/20079361 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(fma.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 151724043800704/89975616641 binary64) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x))
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x))) x))
(/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x))) x) (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64))))
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(*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))) (*.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))))))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))
(*.f64 (+.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))))
(*.f64 (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)) (*.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))))
(*.f64 (+.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x)))))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))))

simplify559.0ms (6%)

Algorithm
egg-herbie
Rules
9824×accelerator-lowering-fma.f32
9824×accelerator-lowering-fma.f64
2912×*-lowering-*.f32
2912×*-lowering-*.f64
1490×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091472
1231456
2627452
31692418
45491398
08158385
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ 151724043800704/89975616641 (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ -1651231776/20079361 x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ -1651231776/20079361 x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 (pow x 3))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 151724043800704/89975616641 (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(/ -151724043800704/89975616641 (pow x 3))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 3))
(/ (- (* x (+ 1651231776/20079361 (* -27061/4481 x))) 151724043800704/89975616641) (pow x 3))
(/ (- (* x (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))) 151724043800704/89975616641) (pow x 3))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
Outputs
(/ 151724043800704/89975616641 (pow x 2))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 (pow x 3))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) (*.f64 x (*.f64 x x)))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)
(/ 151724043800704/89975616641 (pow x 2))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))) (*.f64 x x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64))
(/ -151724043800704/89975616641 (pow x 3))
(/.f64 #s(literal -151724043800704/89975616641 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 3))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x))
(/ (- (* x (+ 1651231776/20079361 (* -27061/4481 x))) 151724043800704/89975616641) (pow x 3))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x)
(/ (- (* x (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))) 151724043800704/89975616641) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -27061/4481 binary64)))) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x))

eval192.0ms (2%)

Compiler

Compiled 13143 to 9233 computations (29.7% saved)

prune62.0ms (0.7%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New4010401
Fresh000
Picked011
Done01010
Total40111412
Accuracy
100.0%
Counts
412 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
52.1%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
53.1%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
56.9%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
98.2%
(-.f64 x #s(literal 230753/100000 binary64))
58.9%
(-.f64 x #s(literal 27061/99229 binary64))
49.7%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
56.9%
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
53.2%
x
49.0%
#s(literal -230753/100000 binary64)
Compiler

Compiled 178 to 131 computations (26.4% saved)

regimes9.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x)))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Outputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Calls

2 calls:

5.0ms
x
3.0ms
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes6.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x)))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
Outputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x)))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
Outputs
(-.f64 x #s(literal 230753/100000 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
Outputs
x
#s(literal -230753/100000 binary64)
x
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
Outputs
#s(literal -230753/100000 binary64)
Calls

1 calls:

0.0ms
x
Results
AccuracySegmentsBranch
49.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch41.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.937792251945399e-8
8.65891345728924
19.0ms
-72.1494442716621
-5.281276597688673e-12
Results
25.0ms304×0valid
Compiler

Compiled 136 to 112 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (43.2% of total)
ival-add: 4.0ms (24.7% of total)
ival-div: 2.0ms (12.3% of total)
ival-sub: 2.0ms (12.3% of total)
const: 1.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event
done
Compiler

Compiled 46 to 34 computations (26.1% saved)

preprocess39.0ms (0.4%)

Compiler

Compiled 128 to 96 computations (25% saved)

end0.0ms (0%)

Profiling

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