Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C

Time bar (total: 8.3s)

analyze7.0ms (0.1%)

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

Compiled 19 to 15 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
...c/correct-round.rkt:119:19: 2.0ms (47.9% of total)
ival-add: 1.0ms (24% of total)
ival-mult: 1.0ms (24% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.8s (21.9%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
...c/correct-round.rkt:119:19: 653.0ms (55% of total)
ival-mult: 212.0ms (17.9% of total)
ival-add: 161.0ms (13.6% of total)
ival-div: 79.0ms (6.7% of total)
ival-sub: 65.0ms (5.5% of total)
const: 14.0ms (1.2% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess187.0ms (2.2%)

Algorithm
2×egg-herbie
Rules
3032×sum5-define
1924×sum4-define
1862×sum4-define
1782×sum3-define
1498×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02460
16243
220343
353642
4144842
5337142
6609442
7785742
01417
13014
26314
38914
410814
514414
622814
746014
8124014
9362614
10555114
11653514
12743914
0814314
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
Outputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) 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)))))) x)
Call 2
Inputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))
(neg (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))
Outputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(- (/ (fma x 27061/100000 230753/100000) (fma x (fnmsub x -4481/100000 -99229/100000) 1)) x)
(- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))
(+ x (/ (fnmsub x 27061/100000 -230753/100000) (fnmsub x (fnmsub x 4481/100000 -99229/100000) -1)))
(neg (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))
(- (/ (fnmsub x 27061/100000 -230753/100000) (fnmsub x (fnmsub x -4481/100000 99229/100000) 1)) x)

explain210.0ms (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 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
00-0-x
00-0-#s(literal 230753/100000 binary64)
00-0-#s(literal 4481/100000 binary64)
00-0-#s(literal 27061/100000 binary64)
00-0-(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
00-0-(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
00-0-(*.f64 x #s(literal 27061/100000 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
00-0-(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
00-0-(-.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)
00-0-#s(literal 99229/100000 binary64)
00-0-(*.f64 x #s(literal 4481/100000 binary64))
Results
142.0ms512×0valid
Compiler

Compiled 162 to 44 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
...c/correct-round.rkt:119:19: 28.0ms (47.6% of total)
ival-mult: 11.0ms (18.7% of total)
ival-add: 10.0ms (17% of total)
ival-div: 5.0ms (8.5% of total)
ival-sub: 3.0ms (5.1% of total)
const: 1.0ms (1.7% 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 (/.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)
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify115.0ms (1.4%)

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 (/.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)
Rules
3032×sum5-define
1924×sum4-define
1782×sum3-define
830×fnmadd-define
632×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01470
13059
26359
38959
410859
514459
622859
746059
8124059
9362659
10555159
11653559
12743959
0814359
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (+ 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)
x
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
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) 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)))))) 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))
x
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)

localize75.0ms (0.9%)

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
56.0ms256×0valid
Compiler

Compiled 72 to 15 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
...c/correct-round.rkt:119:19: 16.0ms (54.7% of total)
ival-mult: 6.0ms (20.5% of total)
ival-add: 4.0ms (13.7% of total)
ival-div: 2.0ms (6.8% of total)
ival-sub: 1.0ms (3.4% 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 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)>
#<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 (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<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 (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
Calls

18 calls:

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

rewrite327.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
5238×*-lowering-*.f32
5238×*-lowering-*.f64
3362×/-lowering-/.f32
3362×/-lowering-/.f64
2028×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01450
19042
285442
0880242
Stop Event
1×iter limit
1×node limit
Counts
6 → 268
Calls
Call 1
Inputs
(- (/ (+ 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))
(* x 27061/100000)
(* x 4481/100000)
(* x (+ 99229/100000 (* x 4481/100000)))
Outputs
(+.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 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) 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 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 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 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (*.f64 x (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (*.f64 x (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64)))))))))
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
(-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) (*.f64 x x)) (-.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) (*.f64 x x)) (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x #s(literal 99229/100000 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))))) (-.f64 #s(literal 0 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) (neg.f64 (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) #s(literal -9846394441/10000000000 binary64))) (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal -99229/100000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) (*.f64 x (*.f64 x x))))) (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (*.f64 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 977047873985989/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))))) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))) x)) (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) 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 x (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 (/.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))))) x))
(*.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 (*.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) (*.f64 x (*.f64 x x)))) (/.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 x (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 (*.f64 x (*.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 (*.f64 x (*.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)))))

simplify222.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4012×*-lowering-*.f32
4012×*-lowering-*.f64
1552×fma-lowering-fma.f32
1552×fma-lowering-fma.f64
1534×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0116430
1344388
2870380
32248354
08596354
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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 (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(+.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)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.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)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) 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 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))) #s(literal -20191289437/10000000000 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 #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)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) 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 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) 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 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 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))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))

eval44.0ms (0.5%)

Compiler

Compiled 12882 to 1103 computations (91.4% saved)

prune41.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New32713340
Fresh000
Picked011
Done000
Total32714341
Accuracy
100.0%
Counts
341 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
49.9%
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x)
49.2%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
✓100.0%
(-.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)
▶98.9%
(-.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)))) x)
50.3%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
52.5%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)))) x)
59.3%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
98.3%
(-.f64 #s(literal 230753/100000 binary64) x)
50.6%
(-.f64 #s(literal 0 binary64) x)
▶53.9%
(+.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)))))))
▶52.5%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
▶59.3%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
▶51.7%
#s(literal 230753/100000 binary64)
Compiler

Compiled 278 to 212 computations (23.7% saved)

simplify139.0ms (1.7%)

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 #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)))))))
✓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 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
✓cost-diff0
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
✓cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
✓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 (/.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)
Rules
2024×sum5-define
1636×sum3-define
1492×fnmsub-define
1472×fmsub-define
1396×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026138
161118
2139118
3245118
4363118
5486118
6583118
7791118
82079118
94100118
08150118
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (+ 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)
x
27061/100000
(+ 1 (* x 99229/100000))
1
(* x 99229/100000)
99229/100000
230753/100000
(+ 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
Outputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))) 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)))) 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))
x
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)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
x
(+ 230753/100000 (* x (+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
230753/100000
#s(literal 230753/100000 binary64)
(* x (+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000)))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
x
(+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000))
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
(* x 1900161040244073/1000000000000000)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
1900161040244073/1000000000000000
#s(literal 1900161040244073/1000000000000000 binary64)
(+ 230753/100000 (* x (+ -30191289437/10000000000 (* x (+ 1900161040244073/1000000000000000 (* x -179503363065659419717/100000000000000000000))))))
(+.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)))))))
230753/100000
#s(literal 230753/100000 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)

localize152.0ms (1.8%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x (+.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 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 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 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
✓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
110.0ms256×0valid
Compiler

Compiled 140 to 27 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
...c/correct-round.rkt:119:19: 24.0ms (46.6% of total)
ival-mult: 14.0ms (27.2% of total)
ival-add: 9.0ms (17.5% of total)
ival-div: 2.0ms (3.9% of total)
ival-sub: 1.0ms (1.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))) x)>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))>
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (* x 27061/100000)>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (+ 230753/100000 (* x (+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000))))>
#<alt (* x (+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000)))>
#<alt (+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000))>
#<alt (* x 1900161040244073/1000000000000000)>
#<alt (+ 230753/100000 (* x (+ -30191289437/10000000000 (* x (+ 1900161040244073/1000000000000000 (* x -179503363065659419717/100000000000000000000))))))>
#<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)>
Outputs
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/99229 (/ 1 x)) 1))>
#<alt (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))>
#<alt (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) x)))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))>
#<alt (- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))>
#<alt (+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))>
#<alt 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 (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 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 (* -30191289437/10000000000 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (* 1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* 1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))>
#<alt (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))>
#<alt (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))>
#<alt (* 1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* 1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt -30191289437/10000000000>
#<alt (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)>
#<alt (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)>
#<alt (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))>
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))>
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))>
#<alt (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))>
#<alt (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 3))>
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#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 3))>
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#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))>
#<alt -30191289437/10000000000>
#<alt (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)>
#<alt (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)>
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#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))>
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#<alt (* -179503363065659419717/100000000000000000000 (pow x 2))>
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#<alt (* 1900161040244073/1000000000000000 x)>
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#<alt (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)))>
#<alt (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 2))>
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#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<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)>
Calls

48 calls:

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

rewrite359.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3308×*-lowering-*.f32
3308×*-lowering-*.f64
2910×/-lowering-/.f32
2910×/-lowering-/.f64
2548×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026110
117592
2168292
0860892
Stop Event
1×iter limit
1×node limit
Counts
16 → 347
Calls
Call 1
Inputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))
(+ 230753/100000 (* x 27061/100000))
(* x 27061/100000)
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(+ 230753/100000 (* x (+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000))))
(* x (+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000)))
(+ -30191289437/10000000000 (* x 1900161040244073/1000000000000000))
(* x 1900161040244073/1000000000000000)
(+ 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))))
(* x (+ 1900161040244073/1000000000000000 (* x -179503363065659419717/100000000000000000000)))
(* x 99229/100000)
(* x -179503363065659419717/100000000000000000000)
Outputs
(+.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 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x)
(-.f64 (/.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 (/.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 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 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 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 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 x x) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 #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 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) x))))
(fma.f64 (+.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)))) (-.f64 #s(literal 0 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)))) (-.f64 #s(literal 0 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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 977047873985989/1000000000000000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (-.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9846394441/10000000000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -99229/100000 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 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 x (*.f64 x x)))))
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(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (*.f64 x x) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(fma.f64 (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)) x (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(fma.f64 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))) (*.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))) (-.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))
(/.f64 (*.f64 x (+.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 x (-.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 (*.f64 (+.f64 #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64))) x) (+.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 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64))) x) (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))) (*.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.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 x (-.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 (neg.f64 (*.f64 (+.f64 #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64))) x)) (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 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64))) x)) (neg.f64 (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))) (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))) (-.f64 (*.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))))
(*.f64 x (+.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))) x)
(*.f64 x #s(literal 99229/100000 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))
(*.f64 #s(literal 99229/100000 binary64) x)
(*.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 99229/100000 binary64))
(*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))
(*.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x)

simplify318.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
2706×*-lowering-*.f32
2706×*-lowering-*.f64
1442×fnmadd-define
1402×fma-lowering-fma.f32
1402×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01601147
14881032
21486989
35069980
08316980
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/99229 (/ 1 x)) 1))
(* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1))
(* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3))))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) x)))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
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
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* -30191289437/10000000000 x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 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)
(* -30191289437/10000000000 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(* 1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(* 1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(* -30191289437/10000000000 x)
(* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))
(* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))
(* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))
(* 1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* 1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
-30191289437/10000000000
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(* 1900161040244073/1000000000000000 x)
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* 1900161040244073/1000000000000000 x)
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
(* -30191289437/10000000000 x)
(* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))
(* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))
(* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
-30191289437/10000000000
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(* 1900161040244073/1000000000000000 x)
(* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)))
(* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)))
(* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* 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)
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 27061/99229 (/ 1 x)) 1))
(-.f64 #s(literal 27061/99229 binary64) x)
(* 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)))))
(* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27061/99229 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 20191289437/9846394441 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) (*.f64 x (*.f64 x x)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))
(-.f64 #s(literal 27061/99229 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x)))))
(-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal -20191289437/9846394441 binary64) x)))
(* -1 (* x (+ 1 (* -1 (/ (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x))) x)))))
(-.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 (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64)))) #s(literal -20191289437/10000000000 binary64))))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
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)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.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)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(* 1900161040244073/1000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(* 1900161040244073/1000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* 1900161040244073/1000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* 1900161040244073/1000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* 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))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1 (* 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))
(* 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)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(+.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)))))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(*.f64 (*.f64 x 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 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) x)) x)))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(*.f64 (*.f64 x x) (*.f64 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) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) x)) x)))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))))
(* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))
(*.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) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(*.f64 (*.f64 x 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 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(*.f64 (*.f64 x 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 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(*.f64 (*.f64 x x) (*.f64 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) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(*.f64 (*.f64 x x) (*.f64 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)
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)
(+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)
(+.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 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(*.f64 (*.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 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(*.f64 (*.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 2))
(*.f64 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.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 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x 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 (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)))
(*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))
(* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)))
(*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))
(* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x)))
(*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* -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))

eval117.0ms (1.4%)

Compiler

Compiled 13948 to 1377 computations (90.1% saved)

prune53.0ms (0.6%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5381539
Fresh178
Picked055
Done011
Total53914553
Accuracy
100.0%
Counts
553 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.4%
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
49.9%
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x)
▶49.2%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
✓100.0%
(-.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)
✓98.9%
(-.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)))) x)
50.3%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
▶59.3%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
▶98.3%
(-.f64 #s(literal 230753/100000 binary64) x)
▶50.6%
(-.f64 #s(literal 0 binary64) x)
✓53.9%
(+.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)))))))
52.4%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
✓52.5%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
✓59.3%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
✓51.7%
#s(literal 230753/100000 binary64)
Compiler

Compiled 228 to 173 computations (24.1% saved)

simplify290.0ms (3.5%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
✓cost-diff0
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
✓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 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) 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 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(-.f64 #s(literal 230753/100000 binary64) x)
Rules
2424×fma-lowering-fma.f32
2424×fma-lowering-fma.f64
2368×+-lowering-+.f64
2368×+-lowering-+.f32
2152×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034156
167146
2141145
3307144
41120144
53263144
64634144
76680144
08457144
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- 230753/100000 x)
230753/100000
x
(- 0 x)
0
x
(- (+ 230753/100000 (* x -20191289437/10000000000)) x)
(+ 230753/100000 (* x -20191289437/10000000000))
230753/100000
(* x -20191289437/10000000000)
x
-20191289437/10000000000
(- (/ (+ 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 x)
x
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
(- 230753/100000 x)
(-.f64 #s(literal 230753/100000 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
x
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(- (+ 230753/100000 (* x -20191289437/10000000000)) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+ 230753/100000 (* x -20191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x -20191289437/10000000000)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
x
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) 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))))) x)
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 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 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(/ (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 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 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))
(/.f64 (+.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (* x x) 732297721/10000000000)
(*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))
(* x x)
(*.f64 x x)
x
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 #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)

localize253.0ms (3%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 x #s(literal 4481/100000 binary64))
✓accuracy99.3%
(*.f64 x #s(literal 27061/100000 binary64))
✓accuracy75.7%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))
✓accuracy100.0%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) 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 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
✓accuracy99.1%
(*.f64 x #s(literal -20191289437/10000000000 binary64))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 230753/100000 binary64) x)
Results
211.0ms256×0valid
Compiler

Compiled 173 to 35 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
...c/correct-round.rkt:119:19: 35.0ms (48.9% of total)
ival-mult: 11.0ms (15.4% of total)
ival-add: 9.0ms (12.6% of total)
ival-div: 8.0ms (11.2% of total)
ival-sub: 8.0ms (11.2% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (- 230753/100000 x)>
#<alt (- 0 x)>
#<alt (- (+ 230753/100000 (* x -20191289437/10000000000)) x)>
#<alt (+ 230753/100000 (* x -20191289437/10000000000))>
#<alt (* x -20191289437/10000000000)>
#<alt (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)>
#<alt (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)>
#<alt (+ 27061/4481 (/ -1651231776/20079361 x))>
#<alt (/ -1651231776/20079361 x)>
#<alt (- (/ (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)>
#<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 27061/100000)>
#<alt (* x 4481/100000)>
Outputs
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -1 x))>
#<alt (+ 230753/100000 (* -1 x))>
#<alt (+ 230753/100000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<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 (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<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 (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<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 (* 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)>
Calls

45 calls:

TimeVariablePointExpression
10.0ms
x
@0
(/ -1651231776/20079361 x)
2.0ms
x
@-inf
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)
0.0ms
x
@inf
(/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))
0.0ms
x
@-inf
(/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000))
0.0ms
x
@-inf
(- (/ (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (+ (* x 27061/100000) -230753/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)

rewrite500.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
5302×*-lowering-*.f32
5302×*-lowering-*.f64
3128×/-lowering-/.f32
3128×/-lowering-/.f64
2058×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034107
122683
2234783
01021083
Stop Event
1×iter limit
1×node limit
Counts
15 → 425
Calls
Call 1
Inputs
(- 230753/100000 x)
(- 0 x)
(- (+ 230753/100000 (* x -20191289437/10000000000)) x)
(+ 230753/100000 (* x -20191289437/10000000000))
(* x -20191289437/10000000000)
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) 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 27061/100000)
(* x 4481/100000)
Outputs
(+.f64 #s(literal 230753/100000 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 230753/100000 binary64))
(-.f64 #s(literal 230753/100000 binary64) x)
(-.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 230753/100000 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 230753/100000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x))) (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 230753/100000 binary64) x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))
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(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))
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(-.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
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(+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
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(-.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (+.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x 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 #s(literal 732297721/10000000000 binary64)) x #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))))
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(/.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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 732297721/10000000000 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 536259952181793841/100000000000000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) #s(literal 2835237365779254046081/100000000000000000000 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 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 (*.f64 x 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 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 #s(literal 27061/100000 binary64) x)
(*.f64 x #s(literal 4481/100000 binary64))
(*.f64 #s(literal 4481/100000 binary64) x)

simplify238.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2964×*-lowering-*.f32
2964×*-lowering-*.f64
1542×+-lowering-+.f64
1542×+-lowering-+.f32
1216×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0144913
1424806
21080777
32922759
08451759
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -1 x))
(+ 230753/100000 (* -1 x))
(+ 230753/100000 (* -1 x))
(* -1 x)
(* x (- (* 230753/100000 (/ 1 x)) 1))
(* x (- (* 230753/100000 (/ 1 x)) 1))
(* x (- (* 230753/100000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* -30191289437/10000000000 x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
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))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(/ -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
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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)))))
(* 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)
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -1 x))
(-.f64 #s(literal 230753/100000 binary64) x)
(+ 230753/100000 (* -1 x))
(-.f64 #s(literal 230753/100000 binary64) x)
(+ 230753/100000 (* -1 x))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 1))
(-.f64 #s(literal 230753/100000 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 1))
(-.f64 #s(literal 230753/100000 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 1))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 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))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(/ -1651231776/20079361 (pow x 2))
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(+.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)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.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)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) 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)
(/.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 #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)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) 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 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) 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 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) 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)))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* 732297721/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* 732297721/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) #s(literal -53246947009/10000000000 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))
(* 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))

eval102.0ms (1.2%)

Compiler

Compiled 15313 to 1539 computations (89.9% saved)

prune57.0ms (0.7%)

Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New6041605
Fresh033
Picked145
Done066
Total60514619
Accuracy
100.0%
Counts
619 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓73.4%
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
▶49.9%
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x)
✓49.2%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
✓100.0%
(-.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)
✓98.9%
(-.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)))) x)
▶50.3%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
✓59.3%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
✓98.3%
(-.f64 #s(literal 230753/100000 binary64) x)
✓53.9%
(+.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)))))))
▶52.4%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
✓52.5%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
✓59.3%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
▶50.6%
(neg.f64 x)
✓51.7%
#s(literal 230753/100000 binary64)
Compiler

Compiled 145 to 111 computations (23.4% saved)

simplify204.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 11 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 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x)
✓cost-diff0
(/.f64 #s(literal 27061/4481 binary64) x)
✓cost-diff0
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) 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 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
✓cost-diff-64
(neg.f64 x)
Rules
1504×fnmadd-define
1336×+-lowering-+.f64
1336×+-lowering-+.f32
1268×sum5-define
1120×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02093
14189
28989
317989
436389
599589
6296889
7719489
0831289
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg x)
x
(+ 230753/100000 (* 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
(- (/ 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
x
Outputs
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(+ 230753/100000 (* x (+ -30191289437/10000000000 (* x 2003561459544073/1000000000000000))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
230753/100000
#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)
(- (/ 27061/4481 x) x)
(-.f64 (/.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) x)
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x) x)
(/ (- 27061/4481 (/ (+ 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)
x

localize189.0ms (2.3%)

Localize:

Found 11 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 (/.f64 #s(literal 27061/4481 binary64) x) x)
✓accuracy99.5%
(/.f64 #s(literal 27061/4481 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 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))))
✓accuracy100.0%
(neg.f64 x)
Results
153.0ms256×0valid
Compiler

Compiled 95 to 21 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
...c/correct-round.rkt:119:19: 20.0ms (34.9% of total)
ival-mult: 19.0ms (33.2% of total)
ival-div: 8.0ms (14% of total)
ival-sub: 4.0ms (7% of total)
ival-add: 4.0ms (7% of total)
ival-neg: 2.0ms (3.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (neg x)>
#<alt (+ 230753/100000 (* x (+ -30191289437/10000000000 (* x 2003561459544073/1000000000000000))))>
#<alt (* x (+ -30191289437/10000000000 (* x 2003561459544073/1000000000000000)))>
#<alt (+ -30191289437/10000000000 (* x 2003561459544073/1000000000000000))>
#<alt (* x 2003561459544073/1000000000000000)>
#<alt (- (/ 27061/4481 x) x)>
#<alt (/ 27061/4481 x)>
#<alt (- (/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) 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 (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (* 2003561459544073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* 2003561459544073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2003561459544073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 2003561459544073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))>
#<alt (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))>
#<alt (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))>
#<alt (* 2003561459544073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* 2003561459544073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt -30191289437/10000000000>
#<alt (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)>
#<alt (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)>
#<alt (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)>
#<alt (* 2003561459544073/1000000000000000 x)>
#<alt (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))>
#<alt (* 2003561459544073/1000000000000000 x)>
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))>
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))>
#<alt (* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))>
#<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 (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<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 (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361))) (pow x 3))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<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

39 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)
0.0ms
x
@-inf
(* x 2003561459544073/1000000000000000)
0.0ms
x
@inf
(* x (+ -30191289437/10000000000 (* x 2003561459544073/1000000000000000)))
0.0ms
x
@-inf
(/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)) x)
0.0ms
x
@inf
(- (/ (- 27061/4481 (/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)) x) x)

rewrite680.0ms (8.2%)

Algorithm
1×batch-egg-rewrite
Rules
3768×*-lowering-*.f32
3768×*-lowering-*.f64
3742×/-lowering-/.f32
3742×/-lowering-/.f64
1980×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02082
114478
2137478
0823378
Stop Event
1×iter limit
1×node limit
Counts
13 → 507
Calls
Call 1
Inputs
(neg x)
(+ 230753/100000 (* x (+ -30191289437/10000000000 (* x 2003561459544073/1000000000000000))))
(* x (+ -30191289437/10000000000 (* x 2003561459544073/1000000000000000)))
(+ -30191289437/10000000000 (* x 2003561459544073/1000000000000000))
(* x 2003561459544073/1000000000000000)
(- (/ 27061/4481 x) 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))
(/ (+ 1651231776/20079361 (/ -151724043800704/89975616641 x)) x)
(/ -151724043800704/89975616641 x)
(+ 1651231776/20079361 (/ -151724043800704/89975616641 x))
Outputs
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.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 (*.f64 x #s(literal -30191289437/10000000000 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))) #s(literal 230753/100000 binary64)))
(+.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64))) (*.f64 x (*.f64 x #s(literal 2003561459544073/1000000000000000 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 (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))) (*.f64 x (+.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)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))) (*.f64 x (+.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))))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))) #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 x (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))) #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))
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(/.f64 (+.f64 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (/.f64 #s(literal -3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (/.f64 #s(literal -3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (/.f64 #s(literal -3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x))) (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (/.f64 #s(literal -3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.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 (neg.f64 (+.f64 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (/.f64 #s(literal -3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal -250531562306938255970304/1806652887732246401 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal 2726566378072114176/403180738168321 binary64)) (-.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))) (*.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (/.f64 #s(literal -3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal 2726566378072114176/403180738168321 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))))
(pow.f64 (/.f64 (+.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 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (/.f64 #s(literal -3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.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))))

simplify509.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
2892×*-lowering-*.f32
2892×*-lowering-*.f64
1390×/-lowering-/.f32
1390×/-lowering-/.f64
1276×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0117939
1330842
2879827
32331768
47862768
08345768
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))
(* 2003561459544073/1000000000000000 (pow x 2))
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(* 2003561459544073/1000000000000000 (pow x 2))
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (+ 2003561459544073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(* (pow x 2) (+ 2003561459544073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(* -30191289437/10000000000 x)
(* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))
(* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))
(* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000))
(* 2003561459544073/1000000000000000 (pow x 2))
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* 2003561459544073/1000000000000000 (pow x 2))
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
-30191289437/10000000000
(- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)
(- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)
(- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)
(* 2003561459544073/1000000000000000 x)
(* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* x (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* 2003561459544073/1000000000000000 x)
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 2003561459544073/1000000000000000)))
(* 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)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(/ 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))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361))) (pow x 3))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(/ 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
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.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) (- 2003561459544073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64))))
(* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (+.f64 (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)) (/.f64 #s(literal 230753/100000 binary64) x))))
(* (pow x 2) (- (+ 2003561459544073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (+.f64 (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)) (/.f64 #s(literal 230753/100000 binary64) x))))
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(/ (- (* 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))

eval86.0ms (1%)

Compiler

Compiled 18112 to 2087 computations (88.5% saved)

prune84.0ms (1%)

Pruning

14 alts after pruning (1 fresh and 13 done)

PrunedKeptTotal
New6621663
Fresh000
Picked044
Done1910
Total66314677
Accuracy
100.0%
Counts
677 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓73.4%
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
✓49.9%
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x)
✓49.2%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
✓100.0%
(-.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)
✓50.3%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
✓59.3%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
✓98.3%
(-.f64 #s(literal 230753/100000 binary64) x)
✓53.9%
(+.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)))))))
✓52.4%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
✓52.5%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
✓59.3%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
52.4%
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (+.f64 (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)) (/.f64 #s(literal 230753/100000 binary64) x))))
✓50.6%
(neg.f64 x)
✓51.7%
#s(literal 230753/100000 binary64)
Compiler

Compiled 300 to 189 computations (37% saved)

regimes13.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 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 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (+.f64 (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)) (/.f64 #s(literal 230753/100000 binary64) x))))
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)))) x)
(+.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)))))))
(-.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)))) x)
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) 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)))))) x)
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Outputs
(-.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)
Calls

2 calls:

7.0ms
x
5.0ms
(-.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)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.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)
Compiler

Compiled 20 to 15 computations (25% saved)

regimes6.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 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 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (+.f64 (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)) (/.f64 #s(literal 230753/100000 binary64) x))))
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)))) x)
(+.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)))))))
(-.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)))) x)
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x)
Outputs
(-.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)))) x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 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 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (+.f64 (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)) (/.f64 #s(literal 230753/100000 binary64) x))))
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)))) x)
(+.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)))))))
Outputs
(-.f64 #s(literal 230753/100000 binary64) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
Outputs
(neg.f64 x)
#s(literal 230753/100000 binary64)
(neg.f64 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)

bsearch62.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.0007701755220102468
8081.648280935024
30.0ms
-3812840.5139292204
-0.028285725527889452
Results
47.0ms288×0valid
Compiler

Compiled 148 to 125 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
...c/correct-round.rkt:119:19: 20.0ms (55.4% of total)
ival-mult: 7.0ms (19.4% of total)
ival-add: 4.0ms (11.1% of total)
ival-div: 2.0ms (5.5% of total)
ival-sub: 2.0ms (5.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
10×*-commutative_binary64
8×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02646
14646
25146
35246
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.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)
(-.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)))) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal 230753/100000 binary64) (neg.f64 x)))
#s(literal 230753/100000 binary64)
Outputs
(-.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)
(-.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)))) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal 230753/100000 binary64) (neg.f64 x)))
(if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(literal 230753/100000 binary64) (-.f64 #s(literal 0 binary64) x)))
#s(literal 230753/100000 binary64)

soundness744.0ms (8.9%)

Rules
5302×*-lowering-*.f32
5302×*-lowering-*.f64
4012×*-lowering-*.f32
4012×*-lowering-*.f64
3128×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0116430
1344388
2870380
32248354
08596354
034107
122683
2234783
01021083
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 79 to 50 computations (36.7% saved)

preprocess53.0ms (0.6%)

Compiler

Compiled 136 to 82 computations (39.7% saved)

end0.0ms (0%)

Profiling

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