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

Time bar (total: 7.9s)

analyze7.0ms (0.1%)

Algorithm
1×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: 4.0ms
...c/correct-round.rkt:119:19: 2.0ms (48.3% of total)
ival-add: 1.0ms (24.1% of total)
ival-mult: 1.0ms (24.1% 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)

sample1.9s (23.9%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
...c/correct-round.rkt:119:19: 704.0ms (55.8% of total)
ival-mult: 234.0ms (18.6% of total)
ival-add: 167.0ms (13.2% of total)
ival-div: 78.0ms (6.2% of total)
ival-sub: 62.0ms (4.9% of total)
const: 12.0ms (1% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess222.0ms (2.8%)

Algorithm
2×egg-herbie
Rules
2462×fnmadd-define
2194×sum3-define
2112×fnmadd-define
1820×sum5-define
1728×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02460
15145
214743
342142
4131342
5361242
6726042
01417
12414
24614
310314
422414
547614
6128314
7257614
8527214
0800814
Stop Event
1×iter limit
1×node limit
1×node limit
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 (/ (fnmsub x -27061/100000 -230753/100000) (fnmsub x (fma x 4481/100000 99229/100000) 1)))
(- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x)))))
(- (/ (fnmsub x 27061/100000 -230753/100000) (fnmsub x (fnmsub x -4481/100000 99229/100000) 1)) x)
(neg (- (neg x) (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (+ 99229/100000 (* (neg x) 4481/100000)) (neg x))))))
(+ x (/ (fnmsub x 27061/100000 -230753/100000) (fnmsub x (fnmsub x 4481/100000 -99229/100000) -1)))

explain178.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-0-(/.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
118.0ms512×0valid
Compiler

Compiled 162 to 44 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
...c/correct-round.rkt:119:19: 43.0ms (55.6% of total)
ival-mult: 17.0ms (22% of total)
ival-add: 8.0ms (10.3% of total)
ival-sub: 5.0ms (6.5% of total)
ival-div: 4.0ms (5.2% of total)
const: 1.0ms (1.3% 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 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify286.0ms (3.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 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 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
Rules
2280×sum5-define
1854×fnmadd-define
1650×fmsub-define
1538×fnmsub-define
1456×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01470
13462
28659
320159
453159
5125559
6303059
7473059
8718259
0834059
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
27061/100000
(- 1 (* x (+ -99229/100000 (* x -4481/100000))))
1
(* x (+ -99229/100000 (* x -4481/100000)))
(+ -99229/100000 (* x -4481/100000))
-99229/100000
(* x -4481/100000)
-4481/100000
Outputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
(+.f64 x (/.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(/.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))))))
(+ 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 (* x -4481/100000))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -99229/100000 (* x -4481/100000)))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(+ -99229/100000 (* x -4481/100000))
(+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 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)

localize81.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal -4481/100000 binary64))
✓accuracy99.5%
(*.f64 x #s(literal 27061/100000 binary64))
✓accuracy75.9%
(/.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))))))
Results
64.0ms256×0valid
Compiler

Compiled 72 to 15 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
...c/correct-round.rkt:119:19: 14.0ms (50.7% of total)
ival-mult: 6.0ms (21.7% of total)
ival-sub: 3.0ms (10.9% of total)
ival-add: 3.0ms (10.9% of total)
ival-div: 2.0ms (7.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))>
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (* x 27061/100000)>
#<alt (* x -4481/100000)>
#<alt (* x (+ -99229/100000 (* x -4481/100000)))>
Outputs
#<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 (* -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 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 (* 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 (- (* -4481/100000 x) 99229/100000))>
#<alt (* x (- (* -4481/100000 x) 99229/100000))>
#<alt (* x (- (* -4481/100000 x) 99229/100000))>
#<alt (* -4481/100000 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -4481/100000 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
Calls

18 calls:

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

rewrite356.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
5100×*-lowering-*.f32
5100×*-lowering-*.f64
2850×/-lowering-/.f32
2850×/-lowering-/.f64
2042×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01450
19444
288642
0886342
Stop Event
1×iter limit
1×node limit
Counts
6 → 233
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
(/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
(* x 27061/100000)
(* x -4481/100000)
(* x (+ -99229/100000 (* x -4481/100000)))
Outputs
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))))) (neg.f64 (/.f64 (/.f64 (/.f64 (/.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)))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))) (neg.f64 (/.f64 (/.f64 (/.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)))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.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))
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(*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))))
(*.f64 (+.f64 (*.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -4481/100000 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x #s(literal -99229/100000 binary64)))))))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(*.f64 (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x (+.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -89975616641/1000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -89975616641/1000000000000000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))

simplify215.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
2424×*-lowering-*.f32
2424×*-lowering-*.f64
2240×/-lowering-/.f32
2240×/-lowering-/.f64
1826×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0125417
1378382
2993378
32708358
08879358
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
-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 (* -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))
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))))
(* 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 (- (* -4481/100000 x) 99229/100000))
(* x (- (* -4481/100000 x) 99229/100000))
(* x (- (* -4481/100000 x) 99229/100000))
(* -4481/100000 (pow x 2))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -4481/100000 (pow x 2))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(-.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))
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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(-.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))
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 (- (* 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)
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)))
(* 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 (- (* -4481/100000 x) 99229/100000))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* x (- (* -4481/100000 x) 99229/100000))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* x (- (* -4481/100000 x) 99229/100000))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4481/100000 binary64))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4481/100000 binary64))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))

eval77.0ms (1%)

Compiler

Compiled 10914 to 1008 computations (90.8% saved)

prune57.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New29312305
Fresh000
Picked011
Done000
Total29313306
Accuracy
100.0%
Counts
306 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 #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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
73.4%
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
▶48.8%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
49.4%
(-.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))
✓100.0%
(-.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)))))))
97.7%
(-.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)))))
▶49.7%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
▶97.1%
(-.f64 x #s(literal 230753/100000 binary64))
53.4%
(+.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))
52.2%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
58.9%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
50.2%
x
▶51.5%
#s(literal -230753/100000 binary64)
Compiler

Compiled 278 to 212 computations (23.7% saved)

simplify137.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 11 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 #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 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
✓cost-diff0
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
✓cost-diff256
(/.f64 #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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
Rules
2276×fnmadd-define
2034×fma-define
2024×sum5-define
1756×fma-lowering-fma.f32
1756×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027144
157132
2122132
3208132
4438132
5939132
62932132
76308132
08082132
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))
1
(/ 1 (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))))
(+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
x
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
27061/100000
(+ (* x (+ -99229/100000 (* x -4481/100000))) -1)
(* x (+ -99229/100000 (* x -4481/100000)))
(+ -99229/100000 (* x -4481/100000))
-99229/100000
(* x -4481/100000)
-4481/100000
-1
-230753/100000
(- x 230753/100000)
x
230753/100000
(- x (/ 27061/4481 x))
x
(/ 27061/4481 x)
27061/4481
(- x (/ (- 27061/4481 (/ 1651231776/20079361 x)) x))
x
(/ (- 27061/4481 (/ 1651231776/20079361 x)) x)
(- 27061/4481 (/ 1651231776/20079361 x))
27061/4481
(/ 1651231776/20079361 x)
1651231776/20079361
Outputs
(/ 1 (/ 1 (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(/ 1 (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))))
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
(+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
x
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 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)
(+ (* x (+ -99229/100000 (* x -4481/100000))) -1)
(+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))
(* x (+ -99229/100000 (* x -4481/100000)))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(+ -99229/100000 (* x -4481/100000))
(+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 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)
-1
#s(literal -1 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
x
230753/100000
#s(literal 230753/100000 binary64)
(- x (/ 27061/4481 x))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
27061/4481
#s(literal 27061/4481 binary64)
(- x (/ (- 27061/4481 (/ 1651231776/20079361 x)) x))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 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)

localize142.0ms (1.8%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
✓accuracy100.0%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
✓accuracy99.3%
(/.f64 #s(literal 1651231776/20079361 binary64) x)
✓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))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal -4481/100000 binary64))
✓accuracy99.5%
(*.f64 x #s(literal 27061/100000 binary64))
✓accuracy75.9%
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
Results
89.0ms256×0valid
Compiler

Compiled 156 to 28 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
...c/correct-round.rkt:119:19: 29.0ms (47.7% of total)
ival-div: 12.0ms (19.7% of total)
ival-add: 7.0ms (11.5% of total)
ival-mult: 6.0ms (9.9% of total)
ival-sub: 5.0ms (8.2% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))>
#<alt (/ 1 (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))))>
#<alt (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))>
#<alt (- x 230753/100000)>
#<alt (- x (/ 27061/4481 x))>
#<alt (/ 27061/4481 x)>
#<alt (- x (/ (- 27061/4481 (/ 1651231776/20079361 x)) x))>
#<alt (/ (- 27061/4481 (/ 1651231776/20079361 x)) x)>
#<alt (- 27061/4481 (/ 1651231776/20079361 x))>
#<alt (/ 1651231776/20079361 x)>
#<alt (* x 27061/100000)>
#<alt (* x -4481/100000)>
#<alt (* x (+ -99229/100000 (* x -4481/100000)))>
Outputs
#<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 -100000/230753>
#<alt (- (* -30191289437/53246947009 x) 100000/230753)>
#<alt (- (* x (- (* -4730460973492672/12286892763167777 x) 30191289437/53246947009)) 100000/230753)>
#<alt (- (* x (- (* x (- (* -1060196761744488379977/2835237365779254046081 x) 4730460973492672/12286892763167777)) 30191289437/53246947009)) 100000/230753)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x)>
#<alt (/ (- (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4))))) (/ 1651231776/20079361 (pow x 3))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 155005469888505/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3))) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) 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 (- (* 20191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 20191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 20191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)>
#<alt (/ -27061/4481 x)>
#<alt (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)>
#<alt (/ (- (* 1651231776/20079361 (/ 1 x)) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3)))) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x)>
#<alt (/ -27061/4481 x)>
#<alt (* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) 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 (/ (- (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 (/ 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 (/ 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))))))>
#<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 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 (* 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 (- (* -4481/100000 x) 99229/100000))>
#<alt (* x (- (* -4481/100000 x) 99229/100000))>
#<alt (* x (- (* -4481/100000 x) 99229/100000))>
#<alt (* -4481/100000 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -4481/100000 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
0.0ms
x
@0
(- x (/ (- 27061/4481 (/ 1651231776/20079361 x)) x))
0.0ms
x
@0
(- x (/ 27061/4481 x))
0.0ms
x
@0
(/ (- 27061/4481 (/ 1651231776/20079361 x)) x)
0.0ms
x
@-inf
(/ (- 27061/4481 (/ 1651231776/20079361 x)) x)

rewrite372.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
3990×/-lowering-/.f32
3990×/-lowering-/.f64
3388×*-lowering-*.f32
3388×*-lowering-*.f64
1740×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026111
1191102
21718102
08398102
Stop Event
1×iter limit
1×node limit
Counts
14 → 540
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))
(/ 1 (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))))
(+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(/ (+ 230753/100000 (* x 27061/100000)) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(- x 230753/100000)
(- x (/ 27061/4481 x))
(/ 27061/4481 x)
(- x (/ (- 27061/4481 (/ 1651231776/20079361 x)) x))
(/ (- 27061/4481 (/ 1651231776/20079361 x)) x)
(- 27061/4481 (/ 1651231776/20079361 x))
(/ 1651231776/20079361 x)
(* x 27061/100000)
(* x -4481/100000)
(* x (+ -99229/100000 (* x -4481/100000)))
Outputs
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x)
(+.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 x x) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x)))
(fma.f64 #s(literal 1 binary64) x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x)
(fma.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.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)))) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal -1 binary64))))) x)
(fma.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.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)))) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) x))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(/.f64 #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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (-.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))))))
(/.f64 #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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) x) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (-.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))))))
(/.f64 (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
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(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -89975616641/1000000000000000 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal -99229/100000 binary64)) (*.f64 x #s(literal -99229/100000 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -4481/100000 binary64) (*.f64 x x)) (*.f64 #s(literal -4481/100000 binary64) (*.f64 x x))) (*.f64 (*.f64 x #s(literal -99229/100000 binary64)) (*.f64 #s(literal -4481/100000 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -99229/100000 binary64)) (*.f64 x #s(literal -99229/100000 binary64))) (*.f64 (*.f64 #s(literal -4481/100000 binary64) (*.f64 x x)) (*.f64 #s(literal -4481/100000 binary64) (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 x #s(literal -99229/100000 binary64)) (*.f64 #s(literal -4481/100000 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -89975616641/1000000000000000 binary64))))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x #s(literal -4481/100000 binary64)) (-.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))))) (neg.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -977047873985989/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -89975616641/1000000000000000 binary64))) x)) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x #s(literal -4481/100000 binary64)) (-.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) x)) (neg.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))))
(*.f64 x (+.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))) x)

simplify212.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
2266×*-lowering-*.f32
2266×*-lowering-*.f64
1500×fma-lowering-fma.f32
1500×fma-lowering-fma.f64
1422×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01801044
1517960
21355889
33638868
08350868
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
-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)))
-100000/230753
(- (* -30191289437/53246947009 x) 100000/230753)
(- (* x (- (* -4730460973492672/12286892763167777 x) 30191289437/53246947009)) 100000/230753)
(- (* x (- (* x (- (* -1060196761744488379977/2835237365779254046081 x) 4730460973492672/12286892763167777)) 30191289437/53246947009)) 100000/230753)
(/ 1 x)
(/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x)
(/ (- (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4))))) (/ 1651231776/20079361 (pow x 3))) x)
(/ 1 x)
(/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x))
(* -1 (/ (- (* -1 (/ (- (* 155005469888505/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3))) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) 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
(- (* 20191289437/10000000000 x) 230753/100000)
(- (* x (+ 20191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 20191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(/ -27061/4481 x)
(/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)
(/ (- (* 1651231776/20079361 (/ 1 x)) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x)
(/ (- (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3)))) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x)
(/ -27061/4481 x)
(* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x))
(* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) x))
(* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) 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)
(/ (- (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)))
(/ 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)
(/ 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))))))
(/ -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 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)
(* 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 (- (* -4481/100000 x) 99229/100000))
(* x (- (* -4481/100000 x) 99229/100000))
(* x (- (* -4481/100000 x) 99229/100000))
(* -4481/100000 (pow x 2))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -4481/100000 (pow x 2))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #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 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (*.f64 x x)))) (/.f64 #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 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) 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 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (*.f64 x x)))) (/.f64 #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 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x))
-100000/230753
#s(literal -100000/230753 binary64)
(- (* -30191289437/53246947009 x) 100000/230753)
(+.f64 (*.f64 x #s(literal -30191289437/53246947009 binary64)) #s(literal -100000/230753 binary64))
(- (* x (- (* -4730460973492672/12286892763167777 x) 30191289437/53246947009)) 100000/230753)
(+.f64 (*.f64 x (+.f64 #s(literal -30191289437/53246947009 binary64) (*.f64 x #s(literal -4730460973492672/12286892763167777 binary64)))) #s(literal -100000/230753 binary64))
(- (* x (- (* x (- (* -1060196761744488379977/2835237365779254046081 x) 4730460973492672/12286892763167777)) 30191289437/53246947009)) 100000/230753)
(+.f64 (*.f64 x (+.f64 #s(literal -30191289437/53246947009 binary64) (*.f64 x (+.f64 #s(literal -4730460973492672/12286892763167777 binary64) (*.f64 x #s(literal -1060196761744488379977/2835237365779254046081 binary64)))))) #s(literal -100000/230753 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (*.f64 x x))) x)
(/ (- (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4))))) (/ 1651231776/20079361 (pow x 3))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 155005469888505/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) (*.f64 x (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) x)
(* -1 (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (- (* 155005469888505/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3))) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 155005469888505/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) (*.f64 x (*.f64 x x)))) x)
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #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 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (*.f64 x x)))) (/.f64 #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 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) 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 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (*.f64 x x)))) (/.f64 #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 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 20191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 20191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 20191289437/10000000000 binary64))) #s(literal -230753/100000 binary64))
(- (* x (+ 20191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))) #s(literal 20191289437/10000000000 binary64))) #s(literal -230753/100000 binary64))
(/ -27061/4481 x)
(/.f64 #s(literal -27061/4481 binary64) x)
(/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (* 1651231776/20079361 (/ 1 x)) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
(/ (- (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3)))) (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) (/.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) (*.f64 x x)) x)) x)
(/ -27061/4481 x)
(/.f64 #s(literal -27061/4481 binary64) x)
(* -1 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
(* -1 (/ (+ 27061/4481 (* -1 (/ (+ 1651231776/20079361 (* -1 (/ (- 151724043800704/89975616641 (* 14315508183474457216/403180738168321 (/ 1 x))) x))) x))) 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)
-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)
(/ (- (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))
(/ 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)
(/ 1651231776/20079361 (pow x 2))
(/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) x)
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))) (*.f64 x x))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -27061/4481 binary64)))) (*.f64 x x))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -27061/4481 binary64)))) (*.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 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (*.f64 x x)))) (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (*.f64 x 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 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (*.f64 x x)))) (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (*.f64 x x)))) (/.f64 #s(literal -27061/4481 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 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)
(* 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 (- (* -4481/100000 x) 99229/100000))
(*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)))
(* x (- (* -4481/100000 x) 99229/100000))
(*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)))
(* x (- (* -4481/100000 x) 99229/100000))
(*.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))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)))
(* -1 (* (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))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64)))

eval149.0ms (1.9%)

Compiler

Compiled 20355 to 2031 computations (90% saved)

prune118.0ms (1.5%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New7071708
Fresh077
Picked055
Done011
Total70714721
Accuracy
100.0%
Counts
721 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 #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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
51.3%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -30191289437/53246947009 binary64) (*.f64 x (+.f64 #s(literal -4730460973492672/12286892763167777 binary64) (*.f64 x #s(literal -1060196761744488379977/2835237365779254046081 binary64)))))) #s(literal -100000/230753 binary64)))
▶73.4%
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
✓48.8%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
▶49.4%
(-.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))
✓100.0%
(-.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)))))))
▶97.7%
(-.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)))))
✓49.7%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓97.1%
(-.f64 x #s(literal 230753/100000 binary64))
53.4%
(+.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))
▶52.2%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
58.9%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
▶50.2%
x
✓51.5%
#s(literal -230753/100000 binary64)
Compiler

Compiled 266 to 205 computations (22.9% saved)

simplify178.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))
✓cost-diff0
(/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))
✓cost-diff0
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
✓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))
✓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 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)))))
Rules
2270×fma-lowering-fma.f32
2270×fma-lowering-fma.f64
2068×*-lowering-*.f32
2068×*-lowering-*.f64
1676×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041233
192217
2201211
3450211
41474211
56837211
08197211
Stop Event
1×iter limit
1×node limit
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
x
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
x
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))
30191289437/10000000000
(* x -1900161040244073/1000000000000000)
-1900161040244073/1000000000000000
-230753/100000
(- 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
(- x (/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
x
(/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))
(+ (* x (* x 732297721/10000000000)) -53246947009/10000000000)
(* x (* x 732297721/10000000000))
(* x 732297721/10000000000)
732297721/10000000000
-53246947009/10000000000
(+ (* x 27061/100000) -230753/100000)
(* x 27061/100000)
27061/100000
-230753/100000
(- 1 (* x (+ -99229/100000 (* x -4481/100000))))
1
(* x (+ -99229/100000 (* x -4481/100000)))
(+ -99229/100000 (* x -4481/100000))
-99229/100000
(* x -4481/100000)
-4481/100000
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 (*.f64 x #s(literal -99229/100000 binary64)) #s(literal -1 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)
x
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -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 -1900161040244073/1000000000000000)))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
x
(+ 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)
-230753/100000
#s(literal -230753/100000 binary64)
(- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x))
(+.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))
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)
(- x (/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
x
(/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))
(+ (* x (* x 732297721/10000000000)) -53246947009/10000000000)
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* x (* x 732297721/10000000000))
(*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))
(* x 732297721/10000000000)
(*.f64 x #s(literal 732297721/10000000000 binary64))
732297721/10000000000
#s(literal 732297721/10000000000 binary64)
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(+ (* x 27061/100000) -230753/100000)
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
27061/100000
#s(literal 27061/100000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
(- 1 (* x (+ -99229/100000 (* x -4481/100000))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -99229/100000 (* x -4481/100000)))
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(+ -99229/100000 (* x -4481/100000))
(+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 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)

localize209.0ms (2.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 x #s(literal 27061/100000 binary64))
✓accuracy99.0%
(*.f64 x #s(literal 732297721/10000000000 binary64))
✓accuracy75.9%
(/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))
✓accuracy75.0%
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
✓accuracy99.7%
(/.f64 #s(literal 151724043800704/89975616641 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)
✓accuracy99.5%
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
✓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 #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))))
✓accuracy99.5%
(*.f64 x #s(literal 27061/100000 binary64))
Results
141.0ms256×0valid
Compiler

Compiled 244 to 42 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
...c/correct-round.rkt:119:19: 41.0ms (42.8% of total)
ival-mult: 25.0ms (26.1% of total)
ival-div: 11.0ms (11.5% of total)
ival-add: 11.0ms (11.5% of total)
ival-sub: 7.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x -99229/100000))))>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x -99229/100000)))>
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (* x 27061/100000)>
#<alt (+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)>
#<alt (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))>
#<alt (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))>
#<alt (* x -1900161040244073/1000000000000000)>
#<alt (- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x))>
#<alt (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)>
#<alt (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))>
#<alt (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)>
#<alt (- x (/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))>
#<alt (/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))>
#<alt (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))>
#<alt (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000)>
#<alt (* x -99229/100000)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (+ (/ 151724043800704/89975616641 x) -1651231776/20079361)>
#<alt (* x 732297721/10000000000)>
Outputs
#<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)))>
#<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 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 (* 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 (- (* 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 (* 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 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 (* -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 (/ -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)))>
#<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 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 -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 (* -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 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 -53246947009/10000000000>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (* 732297721/10000000000 (pow x 2))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 732297721/10000000000 (pow x 2))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<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 (/ 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 x)>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)>
#<alt -1651231776/20079361>
#<alt (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)>
#<alt (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)>
#<alt (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)>
#<alt -1651231776/20079361>
#<alt (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)>
#<alt (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)>
#<alt (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
#<alt (* 732297721/10000000000 x)>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(- x (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x))
0.0ms
x
@0
(- x (/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
0.0ms
x
@inf
(/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))
0.0ms
x
@0
(/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))
0.0ms
x
@inf
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x -99229/100000))))

rewrite318.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
2722×*-lowering-*.f32
2722×*-lowering-*.f64
2428×fma-lowering-fma.f32
2428×fma-lowering-fma.f64
2046×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041164
1289140
22875136
08220136
Stop Event
1×iter limit
1×node limit
Counts
20 → 392
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x -99229/100000))))
(/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x -99229/100000)))
(+ 230753/100000 (* x 27061/100000))
(* x 27061/100000)
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))
(* x -1900161040244073/1000000000000000)
(- 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))
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(- x (/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
(/ (/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000)))))
(/ (+ (* x (* x 732297721/10000000000)) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))
(+ (* x (* x 732297721/10000000000)) -53246947009/10000000000)
(* x -99229/100000)
(/ 151724043800704/89975616641 x)
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361)
(* x 732297721/10000000000)
Outputs
(+.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (+.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)
(-.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 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 (*.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 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (*.f64 (*.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 x #s(literal 99229/100000 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 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 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.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)))) (+.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)))))))
(fma.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x)
(fma.f64 #s(literal -1 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)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (*.f64 x x)) (/.f64 (*.f64 (*.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 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (*.f64 (*.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 x #s(literal 99229/100000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.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)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))
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(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -38992617944898466489/100000000000000000000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x)) #s(literal 53246947009/10000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) #s(literal -2835237365779254046081/100000000000000000000 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -38992617944898466489/100000000000000000000 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) #s(literal -2835237365779254046081/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x)) #s(literal 53246947009/10000000000 binary64))))
(*.f64 x #s(literal -99229/100000 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))
(*.f64 #s(literal -99229/100000 binary64) x)
(*.f64 (*.f64 x #s(literal -99229/100000 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -99229/100000 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 151724043800704/89975616641 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 151724043800704/89975616641 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 151724043800704/89975616641 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -151724043800704/89975616641 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 151724043800704/89975616641 binary64))))
(pow.f64 (/.f64 x #s(literal 151724043800704/89975616641 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 151724043800704/89975616641 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x))
(*.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -151724043800704/89975616641 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 151724043800704/89975616641 binary64))
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(fma.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1651231776/20079361 binary64))
(fma.f64 #s(literal -151724043800704/89975616641 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1651231776/20079361 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 151724043800704/89975616641 binary64) #s(literal -1651231776/20079361 binary64))
(/.f64 #s(literal 1 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))) (+.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 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64)) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))))
(/.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x))) (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)))
(pow.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))) (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x)))))
(*.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))))
(*.f64 x #s(literal 732297721/10000000000 binary64))
(*.f64 #s(literal 732297721/10000000000 binary64) x)

simplify329.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
3094×*-lowering-*.f32
3094×*-lowering-*.f64
2042×fma-lowering-fma.f32
2042×fma-lowering-fma.f64
1664×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02521527
17601370
220111301
361691290
084661290
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
-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)))
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)))
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))))
(* 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
(- (* 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))
(* 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))
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)))))
(* -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)
(/ -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)))
(/ 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 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))
-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 (* -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))
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))))
-53246947009/10000000000
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(* 732297721/10000000000 (pow x 2))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 732297721/10000000000 (pow x 2))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* -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)
(/ 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 x)
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)
-1651231776/20079361
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
-1651231776/20079361
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
(* 732297721/10000000000 x)
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #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 x (*.f64 (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal -20191289437/9846394441 binary64) x)) #s(literal 1 binary64)))
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -27061/99229 binary64) (*.f64 x (/.f64 #s(literal -20191289437/9846394441 binary64) (*.f64 x x)))))
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 -1 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) (*.f64 x x)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x) #s(literal -20191289437/9846394441 binary64)) x) #s(literal -27061/99229 binary64)) x)) 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 (/.f64 #s(literal 20191289437/9846394441 binary64) x) (+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) (*.f64 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))
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)))
(* 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))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #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 (* -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))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) x)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) x)))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) x)))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 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 (*.f64 x 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 (*.f64 x 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))))
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)))
(* -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)
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(*.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))
(/ 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 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) x)
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) x)
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) x)
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) x)
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361)
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 binary64))

eval136.0ms (1.7%)

Compiler

Compiled 14788 to 1683 computations (88.6% saved)

prune60.0ms (0.8%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New6397646
Fresh123
Picked145
Done066
Total64119660
Accuracy
100.0%
Counts
660 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 #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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
51.3%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -30191289437/53246947009 binary64) (*.f64 x (+.f64 #s(literal -4730460973492672/12286892763167777 binary64) (*.f64 x #s(literal -1060196761744488379977/2835237365779254046081 binary64)))))) #s(literal -100000/230753 binary64)))
✓73.4%
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
✓48.8%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
✓49.4%
(-.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))
✓100.0%
(-.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)))))))
✓97.7%
(-.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)))))
✓49.7%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
▶53.4%
(-.f64 x (+.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))))))))
52.2%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))))))
▶47.9%
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)))
▶48.9%
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
✓97.1%
(-.f64 x #s(literal 230753/100000 binary64))
53.4%
(+.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))
▶53.4%
(+.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))
52.2%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
▶58.9%
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓50.2%
x
✓51.5%
#s(literal -230753/100000 binary64)
Compiler

Compiled 334 to 257 computations (23.1% saved)

simplify159.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))))
✓cost-diff0
(+.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)))))))
✓cost-diff128
(-.f64 x (+.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))))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))))))
✓cost-diff0
(+.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))
✓cost-diff0
(+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)
✓cost-diff0
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x))
✓cost-diff0
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)))
✓cost-diff0
(/.f64 #s(literal 20191289437/9846394441 binary64) x)
✓cost-diff0
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
✓cost-diff0
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
✓cost-diff0
(*.f64 x #s(literal 30191289437/10000000000 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
Rules
1688×fma-define
1618×fnmadd-define
1488×+-lowering-+.f64
1488×+-lowering-+.f32
1432×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035184
188165
2256164
3616164
41678163
55851163
08113163
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x 30191289437/10000000000) -230753/100000)
(* x 30191289437/10000000000)
x
30191289437/10000000000
-230753/100000
(- x (+ 27061/99229 (/ 20191289437/9846394441 x)))
x
(+ 27061/99229 (/ 20191289437/9846394441 x))
27061/99229
(/ 20191289437/9846394441 x)
20191289437/9846394441
(- x (+ 27061/99229 (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)))
x
(+ 27061/99229 (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x))
27061/99229
(/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)
(+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x))
20191289437/9846394441
(/ -2019128943700000/977047873985989 x)
-2019128943700000/977047873985989
(+ (* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))))
x
(+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))
30191289437/10000000000
(* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))
(+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))
-2003561459544073/1000000000000000
(* x 198811400069098819717/100000000000000000000)
198811400069098819717/100000000000000000000
-230753/100000
(- x (+ 230753/100000 (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))))))
x
(+ 230753/100000 (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))))))
230753/100000
(* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))))
(+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))))
-20191289437/10000000000
(* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))
(+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))
2003561459544073/1000000000000000
(* x -198811400069098819717/100000000000000000000)
-198811400069098819717/100000000000000000000
Outputs
(+ (* 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))
x
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
(- x (+ 27061/99229 (/ 20191289437/9846394441 x)))
(-.f64 #s(literal -27061/99229 binary64) (-.f64 (/.f64 #s(literal 20191289437/9846394441 binary64) x) x))
x
(+ 27061/99229 (/ 20191289437/9846394441 x))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
27061/99229
#s(literal 27061/99229 binary64)
(/ 20191289437/9846394441 x)
(/.f64 #s(literal 20191289437/9846394441 binary64) x)
20191289437/9846394441
#s(literal 20191289437/9846394441 binary64)
(- x (+ 27061/99229 (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)))
(+.f64 (+.f64 x #s(literal -27061/99229 binary64)) (/.f64 (+.f64 #s(literal -20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x))
x
(+ 27061/99229 (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x))
(-.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal -20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x))
27061/99229
#s(literal 27061/99229 binary64)
(/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)
(/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)
(+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x))
(+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x))
20191289437/9846394441
#s(literal 20191289437/9846394441 binary64)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
-2019128943700000/977047873985989
#s(literal -2019128943700000/977047873985989 binary64)
(+ (* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))) -230753/100000)
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))))))
(* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))))))
x
(+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
(* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))
(*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))))
(+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
-2003561459544073/1000000000000000
#s(literal -2003561459544073/1000000000000000 binary64)
(* x 198811400069098819717/100000000000000000000)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
198811400069098819717/100000000000000000000
#s(literal 198811400069098819717/100000000000000000000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
(- x (+ 230753/100000 (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))))))
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))))))
x
(+ 230753/100000 (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))))))
(+.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)))))))
230753/100000
#s(literal 230753/100000 binary64)
(* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))))
(*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))))
(+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))))
(+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64)))))
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
(* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))
(+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64)))
2003561459544073/1000000000000000
#s(literal 2003561459544073/1000000000000000 binary64)
(* x -198811400069098819717/100000000000000000000)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
-198811400069098819717/100000000000000000000
#s(literal -198811400069098819717/100000000000000000000 binary64)

localize199.0ms (2.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64)))))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))))
✓accuracy99.5%
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
✓accuracy100.0%
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))))))
✓accuracy99.5%
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
✓accuracy100.0%
(+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x))
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)
✓accuracy99.4%
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
✓accuracy100.0%
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
✓accuracy100.0%
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
✓accuracy99.8%
(/.f64 #s(literal 20191289437/9846394441 binary64) x)
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal 30191289437/10000000000 binary64))
Results
121.0ms256×0valid
Compiler

Compiled 191 to 36 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
...c/correct-round.rkt:119:19: 40.0ms (49.8% of total)
ival-add: 16.0ms (19.9% of total)
ival-mult: 13.0ms (16.2% of total)
ival-div: 6.0ms (7.5% of total)
ival-sub: 4.0ms (5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (+ (* x 30191289437/10000000000) -230753/100000)>
#<alt (* x 30191289437/10000000000)>
#<alt (- x (+ 27061/99229 (/ 20191289437/9846394441 x)))>
#<alt (+ 27061/99229 (/ 20191289437/9846394441 x))>
#<alt (/ 20191289437/9846394441 x)>
#<alt (- x (+ 27061/99229 (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)))>
#<alt (+ 27061/99229 (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x))>
#<alt (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)>
#<alt (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x))>
#<alt (+ (* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))) -230753/100000)>
#<alt (* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))))>
#<alt (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))>
#<alt (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))>
#<alt (- x (+ 230753/100000 (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))))))>
#<alt (+ 230753/100000 (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))))))>
#<alt (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))))>
#<alt (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))))>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (* x 198811400069098819717/100000000000000000000)>
#<alt (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))>
#<alt (* x -198811400069098819717/100000000000000000000)>
#<alt (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))>
Outputs
#<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 (* 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 (/ -20191289437/9846394441 x)>
#<alt (/ (- (* -27061/99229 x) 20191289437/9846394441) x)>
#<alt (/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x)>
#<alt (/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x)>
#<alt x>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))>
#<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 (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)>
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)>
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 2019128943700000/977047873985989 (pow x 2))>
#<alt (/ (+ 2019128943700000/977047873985989 (* -20191289437/9846394441 x)) (pow x 2))>
#<alt (/ (+ 2019128943700000/977047873985989 (* x (- (* -27061/99229 x) 20191289437/9846394441))) (pow x 2))>
#<alt (/ (+ 2019128943700000/977047873985989 (* x (- (* x (- x 27061/99229)) 20191289437/9846394441))) (pow x 2))>
#<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)))>
#<alt (/ -2019128943700000/977047873985989 (pow x 2))>
#<alt (/ (- (* 20191289437/9846394441 x) 2019128943700000/977047873985989) (pow x 2))>
#<alt (/ (- (* x (+ 20191289437/9846394441 (* 27061/99229 x))) 2019128943700000/977047873985989) (pow x 2))>
#<alt (/ (- (* x (+ 20191289437/9846394441 (* 27061/99229 x))) 2019128943700000/977047873985989) (pow x 2))>
#<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))) (/ 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 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))>
#<alt (/ -2019128943700000/977047873985989 (pow x 2))>
#<alt (/ (- (* 20191289437/9846394441 x) 2019128943700000/977047873985989) (pow x 2))>
#<alt (/ (- (* 20191289437/9846394441 x) 2019128943700000/977047873985989) (pow x 2))>
#<alt (/ (- (* 20191289437/9846394441 x) 2019128943700000/977047873985989) (pow x 2))>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)>
#<alt (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)>
#<alt (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))>
#<alt (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))>
#<alt (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ (- (* 20191289437/9846394441 x) 2019128943700000/977047873985989) x)>
#<alt (/ (- (* 20191289437/9846394441 x) 2019128943700000/977047873985989) x)>
#<alt (/ (- (* 20191289437/9846394441 x) 2019128943700000/977047873985989) x)>
#<alt 20191289437/9846394441>
#<alt (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x)))>
#<alt (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x)))>
#<alt (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x)))>
#<alt 20191289437/9846394441>
#<alt (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x)))>
#<alt (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x)))>
#<alt (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x)))>
#<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 (* 198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 2003561459544073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))>
#<alt (* 198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000)))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))>
#<alt (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))))>
#<alt (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))))>
#<alt (* 198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* 198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000)))>
#<alt 30191289437/10000000000>
#<alt (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))>
#<alt (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))>
#<alt (* 198811400069098819717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* 198811400069098819717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))>
#<alt (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))>
#<alt (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000))>
#<alt (* 198811400069098819717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* 198811400069098819717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<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 (* 198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 198811400069098819717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 2003561459544073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))>
#<alt (* 198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000)))>
#<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 (* -198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) (+ 198811400069098819717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 2003561459544073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 198811400069098819717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* -198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (+ 2003561459544073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000))>
#<alt (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000))>
#<alt (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000))>
#<alt (* -198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) (+ 198811400069098819717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 2003561459544073/1000000000000000 (/ 1 x)) (+ 198811400069098819717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* -198811400069098819717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 198811400069098819717/100000000000000000000 (* -1 (/ (- 2003561459544073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))) x)))))>
#<alt -20191289437/10000000000>
#<alt (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)>
#<alt (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)>
#<alt (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)>
#<alt (* -198811400069098819717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) (+ 198811400069098819717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) (+ 198811400069098819717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* -198811400069098819717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000))>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (/ -2019128943700000/977047873985989 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt -2003561459544073/1000000000000000>
#<alt (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)>
#<alt (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)>
#<alt (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))>
#<alt (* 198811400069098819717/100000000000000000000 x)>
#<alt (* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* -198811400069098819717/100000000000000000000 x)>
#<alt (* 2003561459544073/1000000000000000 x)>
#<alt (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))>
#<alt (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))>
#<alt (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))>
#<alt (* -198811400069098819717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* -198811400069098819717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))>
Calls

66 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- x (+ 27061/99229 (/ 20191289437/9846394441 x)))
0.0ms
x
@-inf
(* x 198811400069098819717/100000000000000000000)
0.0ms
x
@-inf
(+ (* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))) -230753/100000)
0.0ms
x
@inf
(* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))
0.0ms
x
@0
(/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)

rewrite352.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
3584×*-lowering-*.f32
3584×*-lowering-*.f64
2164×/-lowering-/.f32
2164×/-lowering-/.f64
2148×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035162
1271143
22711143
08705143
Stop Event
1×iter limit
1×node limit
Counts
22 → 374
Calls
Call 1
Inputs
(+ (* x 30191289437/10000000000) -230753/100000)
(* x 30191289437/10000000000)
(- x (+ 27061/99229 (/ 20191289437/9846394441 x)))
(+ 27061/99229 (/ 20191289437/9846394441 x))
(/ 20191289437/9846394441 x)
(- x (+ 27061/99229 (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)))
(+ 27061/99229 (/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x))
(/ (+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x)) x)
(+ 20191289437/9846394441 (/ -2019128943700000/977047873985989 x))
(+ (* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))))
(+ 30191289437/10000000000 (* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))))
(* x (+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000)))
(- x (+ 230753/100000 (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))))))
(+ 230753/100000 (* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))))))
(* x (+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))))
(+ -20191289437/10000000000 (* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000))))
(/ -2019128943700000/977047873985989 x)
(* x 198811400069098819717/100000000000000000000)
(+ -2003561459544073/1000000000000000 (* x 198811400069098819717/100000000000000000000))
(* x -198811400069098819717/100000000000000000000)
(* x (+ 2003561459544073/1000000000000000 (* x -198811400069098819717/100000000000000000000)))
Outputs
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64)))) (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))))
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64)))) (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (*.f64 #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64))))))
(*.f64 (+.f64 (*.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x)) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))))
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(+.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))) x)
(+.f64 (+.f64 x #s(literal -27061/99229 binary64)) (neg.f64 (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(+.f64 (+.f64 x #s(literal -27061/99229 binary64)) (*.f64 #s(literal -20191289437/9846394441 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(-.f64 (+.f64 x #s(literal -27061/99229 binary64)) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))))) (/.f64 (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))) (+.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))))
(-.f64 (-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x)) #s(literal 27061/99229 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) x)
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))))))
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simplify281.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
3648×*-lowering-*.f32
3648×*-lowering-*.f64
2134×fma-lowering-fma.f32
2134×fma-lowering-fma.f64
1528×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01941778
15951627
217851497
363591488
081441488
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
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(* -198811400069098819717/100000000000000000000 x)
(* -198811400069098819717/100000000000000000000 x)
(* -198811400069098819717/100000000000000000000 x)
(* -198811400069098819717/100000000000000000000 x)
(* -198811400069098819717/100000000000000000000 x)
(* -198811400069098819717/100000000000000000000 x)
(* 2003561459544073/1000000000000000 x)
(* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))
(* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))
(* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))
(* -198811400069098819717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(* -198811400069098819717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
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(- (* 30191289437/10000000000 x) 230753/100000)
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(* 30191289437/10000000000 x)
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(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
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(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
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(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 (+.f64 #s(literal -198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) x)))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) (+ 198811400069098819717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 (+.f64 #s(literal -198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) x)))
(* -198811400069098819717/100000000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -198811400069098819717/100000000000000000000 binary64))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 (+.f64 #s(literal -198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) x)))
(* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000) x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 (+.f64 #s(literal -198811400069098819717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) x)))
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(/ -2019128943700000/977047873985989 x)
(/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
-2003561459544073/1000000000000000
#s(literal -2003561459544073/1000000000000000 binary64)
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(* x (- 198811400069098819717/100000000000000000000 (* 2003561459544073/1000000000000000 (/ 1 x))))
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(* 198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64))
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(* -1 (* x (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000)))
(+.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64)))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* -198811400069098819717/100000000000000000000 x)
(*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))
(* 2003561459544073/1000000000000000 x)
(*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))
(* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x)))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* -198811400069098819717/100000000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -198811400069098819717/100000000000000000000 binary64))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* -198811400069098819717/100000000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -198811400069098819717/100000000000000000000 binary64))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))
(* (pow x 2) (- (* 2003561459544073/1000000000000000 (/ 1 x)) 198811400069098819717/100000000000000000000))
(*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64))))

eval110.0ms (1.4%)

Compiler

Compiled 13103 to 1539 computations (88.3% saved)

prune72.0ms (0.9%)

Pruning

17 alts after pruning (5 fresh and 12 done)

PrunedKeptTotal
New6371638
Fresh044
Picked235
Done1910
Total64017657
Accuracy
100.0%
Counts
657 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 #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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
51.3%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -30191289437/53246947009 binary64) (*.f64 x (+.f64 #s(literal -4730460973492672/12286892763167777 binary64) (*.f64 x #s(literal -1060196761744488379977/2835237365779254046081 binary64)))))) #s(literal -100000/230753 binary64)))
✓73.4%
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
✓48.8%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
✓49.4%
(-.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))
✓100.0%
(-.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)))))))
✓49.7%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
49.6%
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))
✓53.4%
(-.f64 x (+.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))))))))
52.2%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))))))
✓97.1%
(-.f64 x #s(literal 230753/100000 binary64))
53.4%
(+.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))
✓53.4%
(+.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))
52.2%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
✓58.9%
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓50.2%
x
✓51.5%
#s(literal -230753/100000 binary64)
Compiler

Compiled 442 to 277 computations (37.3% saved)

regimes18.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 230753/100000 binary64))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 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 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))))))
(+.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))
(+.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))
(-.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 #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))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -30191289437/53246947009 binary64) (*.f64 x (+.f64 #s(literal -4730460973492672/12286892763167777 binary64) (*.f64 x #s(literal -1060196761744488379977/2835237365779254046081 binary64)))))) #s(literal -100000/230753 binary64)))
(-.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))))
(-.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)))))))
(/.f64 #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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(-.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
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:

9.0ms
x
7.0ms
(-.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)

regimes7.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 230753/100000 binary64))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 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 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))))))
(+.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))
(+.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))
(-.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 #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))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -30191289437/53246947009 binary64) (*.f64 x (+.f64 #s(literal -4730460973492672/12286892763167777 binary64) (*.f64 x #s(literal -1060196761744488379977/2835237365779254046081 binary64)))))) #s(literal -100000/230753 binary64)))
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
97.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 230753/100000 binary64))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 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 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))))))
(+.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))
(+.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))
Outputs
(-.f64 x #s(literal 230753/100000 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
97.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
Outputs
x
#s(literal -230753/100000 binary64)
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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:

1.0ms
x
Results
AccuracySegmentsBranch
51.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch56.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
7.357220337359398e-9
41.3252360774736
20.0ms
-4.821240043171475
-0.3608572878283254
Results
41.0ms256×0valid
Compiler

Compiled 118 to 97 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
...c/correct-round.rkt:119:19: 20.0ms (60.3% of total)
ival-mult: 6.0ms (18.1% of total)
ival-add: 4.0ms (12.1% of total)
ival-div: 2.0ms (6% of total)
ival-sub: 1.0ms (3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify63.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
270×unsub-neg_binary64
170×neg-mul-1_binary64
120×distribute-lft-neg-in_binary64
78×distribute-rgt-neg-in_binary64
74×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02745
15145
27845
310645
416045
521845
635745
754045
864345
968945
1071945
1172345
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.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))))
(-.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 #s(literal 230753/100000 binary64))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) x (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)
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))))
(+.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)))))))
(-.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 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x #s(literal -99229/100000 binary64)) #s(literal -1 binary64))))
(-.f64 x #s(literal 230753/100000 binary64))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) x (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)

soundness753.0ms (9.6%)

Rules
2462×fnmadd-define
2424×*-lowering-*.f32
2424×*-lowering-*.f64
2240×/-lowering-/.f32
2240×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0125417
1378382
2993378
32708358
08879358
01417
12414
24614
310314
422414
547614
6128314
7257614
8527214
0800814
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 160 to 116 computations (27.5% saved)

preprocess35.0ms (0.4%)

Compiler

Compiled 128 to 82 computations (35.9% saved)

end0.0ms (0%)

Profiling

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