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

Time bar (total: 7.6s)

analyze10.0ms (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 (48.6% of total)
ival-add: 1.0ms (24.3% of total)
ival-mult: 1.0ms (24.3% 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)

sample2.0s (26.1%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
...c/correct-round.rkt:119:19: 545.0ms (51.1% of total)
ival-mult: 262.0ms (24.5% of total)
ival-add: 140.0ms (13.1% of total)
ival-div: 58.0ms (5.4% of total)
ival-sub: 47.0ms (4.4% of total)
const: 13.0ms (1.2% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess223.0ms (2.9%)

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)))

explain187.0ms (2.5%)

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
128.0ms512×0valid
Compiler

Compiled 162 to 44 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
...c/correct-round.rkt:119:19: 45.0ms (60.8% of total)
ival-mult: 13.0ms (17.6% of total)
ival-add: 8.0ms (10.8% of total)
ival-div: 4.0ms (5.4% of total)
ival-sub: 4.0ms (5.4% of total)
const: 1.0ms (1.4% 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)

simplify176.0ms (2.3%)

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)

localize77.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
✓accuracy99.4%
(*.f64 x #s(literal -4481/100000 binary64))
✓accuracy99.3%
(*.f64 x #s(literal 27061/100000 binary64))
✓accuracy75.7%
(/.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
58.0ms256×0valid
Compiler

Compiled 72 to 15 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
...c/correct-round.rkt:119:19: 16.0ms (49.7% of total)
ival-mult: 6.0ms (18.6% of total)
ival-sub: 5.0ms (15.5% of total)
ival-add: 3.0ms (9.3% of total)
ival-div: 2.0ms (6.2% 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 (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
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
@0
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
0.0ms
x
@inf
(* x (+ -99229/100000 (* x -4481/100000)))

rewrite309.0ms (4.1%)

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))))

simplify301.0ms (4%)

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))))

eval49.0ms (0.6%)

Compiler

Compiled 10914 to 1008 computations (90.8% saved)

prune40.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New29213305
Fresh000
Picked011
Done000
Total29214306
Accuracy
100.0%
Counts
306 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)))))))
49.2%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
49.9%
(-.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)))))))
▶98.9%
(-.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)))))
50.3%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
52.5%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))))
59.3%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
98.3%
(-.f64 x #s(literal 230753/100000 binary64))
▶53.9%
(+.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))
▶52.5%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
▶59.3%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
50.6%
x
▶51.7%
#s(literal -230753/100000 binary64)
Compiler

Compiled 274 to 208 computations (24.1% saved)

simplify207.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))))
✓cost-diff0
(+.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))
✓cost-diff0
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
✓cost-diff0
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
✓cost-diff0
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
✓cost-diff0
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
✓cost-diff0
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
✓cost-diff0
(*.f64 x #s(literal 27061/100000 binary64))
✓cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -99229/100000 binary64))))
✓cost-diff0
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))))
Rules
2400×sum5-define
2044×sum3-define
1928×fma-lowering-fma.f32
1928×fma-lowering-fma.f64
1316×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027135
169121
2157118
3291118
4477118
5817118
63703118
76872118
08161118
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
-230753/100000
(+ (* 30191289437/10000000000 x) -230753/100000)
(* 30191289437/10000000000 x)
30191289437/10000000000
x
-230753/100000
(+ (* 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 (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000)))))
x
(+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))))
30191289437/10000000000
(* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000)))
(+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))
-1900161040244073/1000000000000000
(* x 179503363065659419717/100000000000000000000)
179503363065659419717/100000000000000000000
-230753/100000
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)
-230753/100000
#s(literal -230753/100000 binary64)
(+ (* 30191289437/10000000000 x) -230753/100000)
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
x
-230753/100000
#s(literal -230753/100000 binary64)
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))))
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
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 (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))))) -230753/100000)
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))))
(* x (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000)))))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))))
x
(+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
(* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000)))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
-1900161040244073/1000000000000000
#s(literal -1900161040244073/1000000000000000 binary64)
(* x 179503363065659419717/100000000000000000000)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
179503363065659419717/100000000000000000000
#s(literal 179503363065659419717/100000000000000000000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)

localize212.0ms (2.8%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
✓accuracy99.8%
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))))
✓accuracy100.0%
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
✓accuracy99.8%
(*.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 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
✓accuracy99.4%
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
✓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))))
✓accuracy99.3%
(*.f64 x #s(literal 27061/100000 binary64))
Results
174.0ms256×0valid
Compiler

Compiled 140 to 28 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-add: 25.0ms (31.2% of total)
...c/correct-round.rkt:119:19: 25.0ms (31.2% of total)
ival-mult: 14.0ms (17.5% of total)
ival-sub: 13.0ms (16.2% of total)
ival-div: 2.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
17 → 204
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 (+ (* 30191289437/10000000000 x) -230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<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 (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))))) -230753/100000)>
#<alt (* x (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000)))))>
#<alt (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))))>
#<alt (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000)))>
#<alt (* x -99229/100000)>
#<alt (* x 179503363065659419717/100000000000000000000)>
#<alt (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))>
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 (- (* 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 -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 -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 (* 179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))>
#<alt (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))))>
#<alt (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))>
#<alt 30191289437/10000000000>
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))>
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))>
#<alt (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))>
#<alt (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* -99229/100000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt -1900161040244073/1000000000000000>
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)>
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)>
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x -99229/100000)))
0.0ms
x
@-inf
(* x 179503363065659419717/100000000000000000000)
0.0ms
x
@inf
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)
0.0ms
x
@inf
(- x (/ (+ 230753/100000 (* x 27061/100000)) (- 1 (* x -99229/100000))))
0.0ms
x
@-inf
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)

rewrite417.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
3054×*-lowering-*.f32
3054×*-lowering-*.f64
2888×/-lowering-/.f32
2888×/-lowering-/.f64
2050×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027112
118698
2166996
0811396
Stop Event
1×iter limit
1×node limit
Counts
17 → 359
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)
(+ (* 30191289437/10000000000 x) -230753/100000)
(* 30191289437/10000000000 x)
(+ (* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000)))
(+ 30191289437/10000000000 (* x -1900161040244073/1000000000000000))
(* x -1900161040244073/1000000000000000)
(+ (* x (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000)))))
(+ 30191289437/10000000000 (* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))))
(* x (+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000)))
(* x -99229/100000)
(* x 179503363065659419717/100000000000000000000)
(+ -1900161040244073/1000000000000000 (* x 179503363065659419717/100000000000000000000))
Outputs
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 0 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 #s(literal 0 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 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (+.f64 (*.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 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 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 #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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 0 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 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.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 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 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 (+.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 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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64))) (+.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) #s(literal -1900161040244073/1000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 #s(literal -341085297090152915588775917228587341/100000000000000000000000000000000000 binary64) x))))
(/.f64 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64))) (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) #s(literal -1900161040244073/1000000000000000 binary64)))) (+.f64 #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (+.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) #s(literal -1900161040244073/1000000000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 #s(literal -341085297090152915588775917228587341/100000000000000000000000000000000000 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)))) (neg.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) #s(literal -1900161040244073/1000000000000000 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))) (*.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)))) (*.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) #s(literal -1900161040244073/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) #s(literal -1900161040244073/1000000000000000 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) #s(literal -1900161040244073/1000000000000000 binary64)))) (+.f64 #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)) #s(literal -1900161040244073/1000000000000000 binary64))))))
(*.f64 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))

simplify215.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2690×*-lowering-*.f32
2690×*-lowering-*.f64
1860×fnmadd-define
1514×fma-lowering-fma.f32
1514×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721216
15421105
215291025
350731010
081061010
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
(* 30191289437/10000000000 x)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 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)
-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)
(* 179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)))
(* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))))
(* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
30191289437/10000000000
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))
(* -1900161040244073/1000000000000000 x)
(* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))
(* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))
(* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* -99229/100000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
(* 179503363065659419717/100000000000000000000 x)
-1900161040244073/1000000000000000
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(* 179503363065659419717/100000000000000000000 x)
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* 179503363065659419717/100000000000000000000 x)
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
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 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) 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 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) 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 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) (/.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))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) 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 (* -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 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(*.f64 x (*.f64 x (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(*.f64 x (*.f64 x (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x))))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(*.f64 x (*.f64 x (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x))))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(*.f64 x (*.f64 x (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) 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 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))))
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)
(*.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))
-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))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 179503363065659419717/100000000000000000000 binary64))
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x)))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x)) x)))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 179503363065659419717/100000000000000000000 binary64))
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(*.f64 x (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) x)) x) #s(literal -179503363065659419717/100000000000000000000 binary64))))
(* 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 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))))
(* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 179503363065659419717/100000000000000000000 binary64))
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x)))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x)))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 179503363065659419717/100000000000000000000 binary64))
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(*.f64 x (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x)))
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 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x))))
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x))))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x))))
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x))))
(* -1900161040244073/1000000000000000 x)
(*.f64 x #s(literal -1900161040244073/1000000000000000 binary64))
(* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* -99229/100000 x)
(*.f64 x #s(literal -99229/100000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
-1900161040244073/1000000000000000
#s(literal -1900161040244073/1000000000000000 binary64)
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))

eval91.0ms (1.2%)

Compiler

Compiled 13108 to 1452 computations (88.9% saved)

prune54.0ms (0.7%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5621563
Fresh178
Picked055
Done011
Total56314577
Accuracy
100.0%
Counts
577 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶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)))))))
▶49.2%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
49.9%
(-.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)))))))
✓98.9%
(-.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)))))
50.3%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
▶59.3%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
▶98.3%
(-.f64 x #s(literal 230753/100000 binary64))
✓53.9%
(+.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))
✓52.5%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
52.4%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
✓59.3%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
▶50.6%
x
✓51.7%
#s(literal -230753/100000 binary64)
Compiler

Compiled 224 to 169 computations (24.6% saved)

simplify160.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 12 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 #s(literal 1651231776/20079361 binary64) x)
✓cost-diff0
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
✓cost-diff0
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
✓cost-diff0
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
✓cost-diff0
(*.f64 x #s(literal -20191289437/10000000000 binary64))
✓cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
✓cost-diff128
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
✓cost-diff0
(-.f64 x #s(literal 230753/100000 binary64))
Rules
2616×*-lowering-*.f32
2616×*-lowering-*.f64
1712×fnmsub-define
1704×+-lowering-+.f64
1704×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032159
175147
2182144
3450143
41612142
56946142
08202142
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- x 230753/100000)
x
230753/100000
x
(- x (+ 230753/100000 (* x -20191289437/10000000000)))
x
(+ 230753/100000 (* x -20191289437/10000000000))
230753/100000
(* x -20191289437/10000000000)
-20191289437/10000000000
(- 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
(- 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)
(+.f64 x #s(literal -230753/100000 binary64))
x
230753/100000
#s(literal 230753/100000 binary64)
x
(- x (+ 230753/100000 (* x -20191289437/10000000000)))
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
x
(+ 230753/100000 (* x -20191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x -20191289437/10000000000)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
(- x (/ (- 27061/4481 (/ 1651231776/20079361 x)) x))
(+.f64 x (/.f64 (+.f64 (/.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)
(- 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 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 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 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))))
(/ (+ (* 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 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 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 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 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)

localize205.0ms (2.7%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.f64 x #s(literal 27061/100000 binary64))
✓accuracy99.0%
(*.f64 x #s(literal 732297721/10000000000 binary64))
✓accuracy75.7%
(/.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 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
✓accuracy100.0%
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
✓accuracy99.3%
(/.f64 #s(literal 1651231776/20079361 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
✓accuracy99.8%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
✓accuracy99.1%
(*.f64 x #s(literal -20191289437/10000000000 binary64))
✓accuracy100.0%
(-.f64 x #s(literal 230753/100000 binary64))
Results
168.0ms256×0valid
Compiler

Compiled 169 to 33 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
...c/correct-round.rkt:119:19: 34.0ms (48.6% of total)
ival-sub: 12.0ms (17.2% of total)
ival-mult: 11.0ms (15.7% of total)
ival-div: 7.0ms (10% of total)
ival-add: 5.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (- x 230753/100000)>
#<alt (- x (+ 230753/100000 (* x -20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x -20191289437/10000000000))>
#<alt (* x -20191289437/10000000000)>
#<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 (/ (/ (+ (* 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 732297721/10000000000)>
#<alt (* x 27061/100000)>
Outputs
#<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 -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (/ 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 -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 (* 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)>
#<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)>
Calls

42 calls:

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

rewrite329.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
4058×*-lowering-*.f32
4058×*-lowering-*.f64
2614×/-lowering-/.f32
2614×/-lowering-/.f64
2064×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032109
122283
2217281
0830581
Stop Event
1×iter limit
1×node limit
Counts
14 → 275
Calls
Call 1
Inputs
(- x 230753/100000)
(- x (+ 230753/100000 (* x -20191289437/10000000000)))
(+ 230753/100000 (* x -20191289437/10000000000))
(* x -20191289437/10000000000)
(- x (/ (- 27061/4481 (/ 1651231776/20079361 x)) x))
(/ (- 27061/4481 (/ 1651231776/20079361 x)) x)
(- 27061/4481 (/ 1651231776/20079361 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 732297721/10000000000)
(* x 27061/100000)
Outputs
(+.f64 x #s(literal -230753/100000 binary64))
(+.f64 #s(literal -230753/100000 binary64) x)
(-.f64 x #s(literal 230753/100000 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64))))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64)) (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64)))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (+.f64 x #s(literal 230753/100000 binary64)))
(/.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (-.f64 x #s(literal -230753/100000 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (+.f64 x #s(literal 230753/100000 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64))))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 230753/100000 binary64))))
(+.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))
(+.f64 x (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (+.f64 x #s(literal -230753/100000 binary64)) (neg.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (+.f64 x #s(literal -230753/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -20191289437/10000000000 binary64)))
(+.f64 (+.f64 x #s(literal -230753/100000 binary64)) (*.f64 #s(literal 20191289437/10000000000 binary64) x))
(+.f64 (-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) (fma.f64 #s(literal 20191289437/10000000000 binary64) x (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) x)
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(-.f64 (+.f64 x #s(literal -230753/100000 binary64)) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))
(-.f64 (-.f64 x (*.f64 x #s(literal -20191289437/10000000000 binary64))) #s(literal 230753/100000 binary64))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64))))) (neg.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -20191289437/10000000000 binary64)))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 230753/100000 binary64))))) (*.f64 #s(literal 20191289437/10000000000 binary64) x))
(fma.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 230753/100000 binary64))) (neg.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(fma.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 230753/100000 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -20191289437/10000000000 binary64)))
(fma.f64 (+.f64 (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 230753/100000 binary64))) (*.f64 #s(literal 20191289437/10000000000 binary64) x))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))) (-.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))) (neg.f64 (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal -230753/100000 binary64)) (*.f64 (+.f64 x #s(literal -230753/100000 binary64)) (+.f64 x #s(literal -230753/100000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal -230753/100000 binary64)) (+.f64 x #s(literal -230753/100000 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64)) (*.f64 (+.f64 x #s(literal -230753/100000 binary64)) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal -230753/100000 binary64)) (+.f64 x #s(literal -230753/100000 binary64))) (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64))) (+.f64 (+.f64 x #s(literal -230753/100000 binary64)) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
(+.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))))
(/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64)) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal -4659200611456061/1000000000000000 binary64) x))))
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64)))) (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64)))) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 407688169128707776969/100000000000000000000 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))))))
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(*.f64 x #s(literal -20191289437/10000000000 binary64))
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(/.f64 (*.f64 (+.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 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 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal -12286892763167777/1000000000000000 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -6244406933/10000000000 binary64)))))
(/.f64 (*.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 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 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 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) #s(literal -2835237365779254046081/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal -12286892763167777/1000000000000000 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -6244406933/10000000000 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.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 (pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 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)) (/.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 (pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 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 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(+.f64 #s(literal -53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))
(-.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64))))
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(fma.f64 x (*.f64 #s(literal 27061/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal -53246947009/10000000000 binary64))
(fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
(fma.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) x #s(literal -53246947009/10000000000 binary64))
(fma.f64 #s(literal 27061/100000 binary64) (*.f64 x (*.f64 x #s(literal 27061/100000 binary64))) #s(literal -53246947009/10000000000 binary64))
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -53246947009/10000000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) x) #s(literal 27061/100000 binary64) #s(literal -53246947009/10000000000 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 27061/100000 binary64)) x #s(literal -53246947009/10000000000 binary64))
(/.f64 #s(literal 1 binary64) (/.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) #s(literal -2835237365779254046081/100000000000000000000 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 (*.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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64)) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) (*.f64 (*.f64 x x) #s(literal -38992617944898466489/100000000000000000000 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 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) #s(literal -2835237365779254046081/100000000000000000000 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) #s(literal -150967733773584690183223851121729/1000000000000000000000000000000 binary64))) (neg.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 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) #s(literal -2835237365779254046081/100000000000000000000 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64))) (-.f64 #s(literal -53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))))
(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 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #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 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal 53246947009/10000000000 binary64))))
(*.f64 x #s(literal 732297721/10000000000 binary64))
(*.f64 #s(literal 732297721/10000000000 binary64) x)
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 #s(literal 27061/100000 binary64) x)

simplify193.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2304×*-lowering-*.f32
2304×*-lowering-*.f64
2246×+-lowering-+.f64
2246×+-lowering-+.f32
1318×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0154876
1444792
21126761
33025749
08338749
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
-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)))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* -20191289437/10000000000 x))
(* -20191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* -20191289437/10000000000 x)
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(/ 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)
-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)))))
(* 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)
(* 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)
Outputs
-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))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(/ 1651231776/20079361 (pow x 2))
(/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x x))
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))) 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 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 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 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)))))
(/ -1651231776/20079361 (pow x 2))
(/.f64 (/.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) 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)
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 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)))
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(* -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)
(+ 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)
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(/.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 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
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(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
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230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
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(* 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)))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* 732297721/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* 732297721/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 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))
(* 732297721/10000000000 x)
(*.f64 x #s(literal 732297721/10000000000 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))

eval52.0ms (0.7%)

Compiler

Compiled 9207 to 1038 computations (88.7% saved)

prune51.0ms (0.7%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New4421443
Fresh123
Picked055
Done066
Total44314457
Accuracy
100.0%
Counts
457 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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)))))))
▶49.9%
(-.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))
✓49.2%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
✓100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
✓98.9%
(-.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)))))
▶50.3%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓59.3%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
✓98.3%
(-.f64 x #s(literal 230753/100000 binary64))
✓53.9%
(+.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))
✓52.5%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
▶52.4%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
✓59.3%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
✓50.6%
x
✓51.7%
#s(literal -230753/100000 binary64)
Compiler

Compiled 144 to 110 computations (23.6% saved)

simplify138.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
✓cost-diff0
(-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x))
✓cost-diff0
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
✓cost-diff0
(-.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))
✓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 -2003561459544073/1000000000000000 binary64))
✓cost-diff0
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
✓cost-diff0
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
Rules
2106×fnmadd-define
1752×sum5-define
1642×fmsub-define
1624×fnmsub-define
1544×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01989
13986
29186
316986
435486
588586
6341186
0804186
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000)))
x
(+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))
30191289437/10000000000
(* x -2003561459544073/1000000000000000)
-2003561459544073/1000000000000000
-230753/100000
(- x (/ 27061/4481 x))
x
(/ 27061/4481 x)
27061/4481
(- x (/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)) x))
x
(/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)) x)
(- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x))
27061/4481
(/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)
(+ 1651231776/20079361 (/ -151724043800704/89975616641 x))
1651231776/20079361
(/ -151724043800704/89975616641 x)
-151724043800704/89975616641
Outputs
(+ (* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))) -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 -2003561459544073/1000000000000000)))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
x
(+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
(* x -2003561459544073/1000000000000000)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
-2003561459544073/1000000000000000
#s(literal -2003561459544073/1000000000000000 binary64)
-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 (/ -151724043800704/89975616641 x)) x)) x))
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))
x
(/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 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)
(- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x))
27061/4481
#s(literal 27061/4481 binary64)
(/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(+ 1651231776/20079361 (/ -151724043800704/89975616641 x))
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
1651231776/20079361
#s(literal 1651231776/20079361 binary64)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
-151724043800704/89975616641
#s(literal -151724043800704/89975616641 binary64)

localize132.0ms (1.7%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
✓accuracy99.7%
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
✓accuracy99.7%
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓accuracy99.5%
(/.f64 #s(literal 27061/4481 binary64) x)
✓accuracy100.0%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
✓accuracy100.0%
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
✓accuracy99.7%
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
Results
109.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
...c/correct-round.rkt:119:19: 21.0ms (51.3% of total)
ival-div: 8.0ms (19.5% of total)
ival-sub: 4.0ms (9.8% of total)
ival-add: 4.0ms (9.8% of total)
ival-mult: 4.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (+ (* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))) -230753/100000)>
#<alt (* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000)))>
#<alt (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))>
#<alt (* x -2003561459544073/1000000000000000)>
#<alt (- x (/ 27061/4481 x))>
#<alt (/ 27061/4481 x)>
#<alt (- x (/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)) x))>
#<alt (/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)) x)>
#<alt (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x))>
#<alt (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)>
#<alt (/ -151724043800704/89975616641 x)>
#<alt (+ 1651231776/20079361 (/ -151724043800704/89975616641 x))>
Outputs
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)>
#<alt (* -2003561459544073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2)))))>
#<alt (* -2003561459544073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))>
#<alt (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))>
#<alt (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))>
#<alt (* -2003561459544073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* -2003561459544073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt 30191289437/10000000000>
#<alt (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (* -2003561459544073/1000000000000000 x)>
#<alt (/ -27061/4481 x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (/ 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 (/ -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 (/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))>
#<alt (/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))>
#<alt (/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))>
#<alt (/ 1651231776/20079361 x)>
#<alt (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)>
#<alt (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)>
#<alt (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)>
#<alt (/ 1651231776/20079361 x)>
#<alt (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x))>
#<alt (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x))>
#<alt (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) 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 (/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)>
#<alt (/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)>
#<alt (/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)>
#<alt 1651231776/20079361>
#<alt (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))>
#<alt (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))>
#<alt (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))>
#<alt 1651231776/20079361>
#<alt (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))>
#<alt (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))>
#<alt (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)
0.0ms
x
@0
(/ -151724043800704/89975616641 x)
0.0ms
x
@0
(/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)
0.0ms
x
@inf
(* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000)))
0.0ms
x
@-inf
(+ (* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))) -230753/100000)

rewrite386.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
4080×/-lowering-/.f32
4080×/-lowering-/.f64
3866×*-lowering-*.f32
3866×*-lowering-*.f64
2408×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01979
114376
2135576
0868776
Stop Event
1×iter limit
1×node limit
Counts
12 → 431
Calls
Call 1
Inputs
(+ (* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))) -230753/100000)
(* x (+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000)))
(+ 30191289437/10000000000 (* x -2003561459544073/1000000000000000))
(* x -2003561459544073/1000000000000000)
(- x (/ 27061/4481 x))
(/ 27061/4481 x)
(- x (/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)) x))
(/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)) x)
(- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x))
(/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)
(/ -151724043800704/89975616641 x)
(+ 1651231776/20079361 (/ -151724043800704/89975616641 x))
Outputs
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) (+.f64 (*.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x x)) #s(literal -230753/100000 binary64)))
(+.f64 (+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64))) (*.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal 230753/100000 binary64))))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) (+.f64 (*.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x x)) #s(literal -230753/100000 binary64)))
(fma.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) #s(literal -230753/100000 binary64))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x (+.f64 (*.f64 #s(literal -2003561459544073/1000000000000000 binary64) (*.f64 x x)) #s(literal -230753/100000 binary64)))
(fma.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) x #s(literal -230753/100000 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))) #s(literal -12286892763167777/1000000000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (*.f64 x #s(literal -230753/100000 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))) #s(literal -12286892763167777/1000000000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (*.f64 x #s(literal -230753/100000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (*.f64 x #s(literal -230753/100000 binary64))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))) #s(literal -12286892763167777/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) #s(literal -53246947009/10000000000 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal 230753/100000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (*.f64 x #s(literal -230753/100000 binary64))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))) #s(literal -12286892763167777/1000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) #s(literal -53246947009/10000000000 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (*.f64 x #s(literal -230753/100000 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (*.f64 x #s(literal -230753/100000 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal 230753/100000 binary64))))
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))) (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))))) (-.f64 #s(literal -230753/100000 binary64) (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))))
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(*.f64 (+.f64 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (/.f64 #s(literal -3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 (-.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) (/.f64 x #s(literal -151724043800704/89975616641 binary64))))))
(*.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))))

simplify209.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2292×*-lowering-*.f32
2292×*-lowering-*.f64
1970×/-lowering-/.f32
1970×/-lowering-/.f64
1488×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0125906
1355814
2960788
32672740
08513740
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)
(* -2003561459544073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* -2003561459544073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))
(* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))
(* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))
(* -2003561459544073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* -2003561459544073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
30191289437/10000000000
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))
(* -2003561459544073/1000000000000000 x)
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(* -2003561459544073/1000000000000000 x)
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(* -2003561459544073/1000000000000000 x)
(/ -27061/4481 x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(/ 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)
(/ -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))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))
(/ 1651231776/20079361 x)
(/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)
(/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)
(/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)
(/ 1651231776/20079361 x)
(* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x))
(* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x))
(* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) 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)
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)
1651231776/20079361
(- 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)))
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 (* -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))
(* -2003561459544073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(*.f64 x (+.f64 (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(*.f64 x (+.f64 (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x))))
(* -2003561459544073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x))))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x))))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x)))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* -2003561459544073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* -2003561459544073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* -1 (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 binary64))
(* -2003561459544073/1000000000000000 x)
(*.f64 x #s(literal -2003561459544073/1000000000000000 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)
(/ -151724043800704/89975616641 (pow x 3))
(/.f64 #s(literal -151724043800704/89975616641 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 3))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x))
(/ (- (* x (+ 1651231776/20079361 (* -27061/4481 x))) 151724043800704/89975616641) (pow x 3))
(/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
(/ (- (* x (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))) 151724043800704/89975616641) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -27061/4481 binary64)))) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(-.f64 x (/.f64 (+.f64 #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 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x))
(/ 151724043800704/89975616641 (pow x 3))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x (*.f64 x x)))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #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))) 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 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 (/ (- (* 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)
(/ 151724043800704/89975616641 (pow x 2))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 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)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
(/ -151724043800704/89975616641 (pow x 2))
(/.f64 #s(literal -151724043800704/89975616641 binary64) (*.f64 x x))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) (pow x 2))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x))
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ -151724043800704/89975616641 x)
(/.f64 #s(literal -151724043800704/89975616641 binary64) x)
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
(/ (- (* 1651231776/20079361 x) 151724043800704/89975616641) x)
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
1651231776/20079361
#s(literal 1651231776/20079361 binary64)
(- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
(- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
(- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
1651231776/20079361
#s(literal 1651231776/20079361 binary64)
(- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
(- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))
(- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x)))
(+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))

eval72.0ms (0.9%)

Compiler

Compiled 16533 to 1887 computations (88.6% saved)

prune86.0ms (1.1%)

Pruning

14 alts after pruning (1 fresh and 13 done)

PrunedKeptTotal
New5741575
Fresh000
Picked033
Done11011
Total57514589
Accuracy
100.0%
Counts
589 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓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)))))))
✓49.9%
(-.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))
✓49.2%
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
✓100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
✓50.3%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓59.3%
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
✓98.3%
(-.f64 x #s(literal 230753/100000 binary64))
✓53.9%
(+.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))
✓52.5%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
✓52.4%
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)))) #s(literal -230753/100000 binary64))
✓59.3%
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
52.4%
(*.f64 x (+.f64 (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x))))
✓50.6%
x
✓51.7%
#s(literal -230753/100000 binary64)
Compiler

Compiled 325 to 202 computations (37.8% saved)

regimes17.0ms (0.2%)

Counts
18 → 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 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -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 (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x))))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 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 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.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 (+.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:

11.0ms
x
5.0ms
(-.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)

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 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -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 (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x))))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 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 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x))
Outputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
12 → 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 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))))
(+.f64 (*.f64 x (+.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x #s(literal -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 (*.f64 x #s(literal -2003561459544073/1000000000000000 binary64)) (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x))))
(-.f64 x (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 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:

4.0ms
x
Results
AccuracySegmentsBranch
98.3%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:

2.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
51.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch70.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
0.0007701755220102468
8081.648280935024
32.0ms
-3812840.5139292204
-0.028285725527889452
Results
49.0ms288×0valid
Compiler

Compiled 130 to 107 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
...c/correct-round.rkt:119:19: 22.0ms (60.6% of total)
ival-mult: 6.0ms (16.5% of total)
ival-add: 4.0ms (11% of total)
ival-div: 2.0ms (5.5% of total)
ival-sub: 1.0ms (2.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify26.0ms (0.3%)

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 -8106479329266893/2251799813685248 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 -8106479329266893/2251799813685248 binary64)) x (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)

soundness794.0ms (10.5%)

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)

preprocess45.0ms (0.6%)

Compiler

Compiled 128 to 82 computations (35.9% saved)

end0.0ms (0%)

Profiling

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